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Returning a large pseudolikelihood?, > HIGH. Returning a large pseudolikelihood ( ll:  del:  P: @In cgradient iteration METHOD CGRADIENT1@ Dim  of In direct iteration alpha expansionbeta contractiongamma extrapolation Simplex it: ) ll = d(ll) =  P[]=In simplex iteration y, ylik Initial llik: -Param Current parameter Trial parameter ! Point rejected as out of bounds Resulting llik: 7Intermediate result after step length adjustment, iter ? Parameter New step length Current parameter Best parameter)End of temperature reduction cycle, iter ) Temperature: Max loglik: del LL:  New maxima : Moves uphill:  Accepted downhill:  Rejected downhill: Out of bounds adjustments: , Parameter New step length Best parameter Uphill point accepted: new optimum found: Downhill point accepted: Downhill point rejected: In SA. Dim. cycle  step iteration ?Simulated Annealing over  paramsSA_TEMPERATURE: SA_COOLING: SA_ADJ_CYCLES: SA_STEPS: SA_EPS_NUMBER: MAXEVALS: MAXITER: SA_STEPLENGTH: SA_STEPLENGTHSA_STEPLENGTH_ADJ: SA_STEPLENGTH_ADJ RANDOMSEED: Final temperature: Param Final step length Simulated annealing results:Final step length LogLikelihood: Iterations Evals: Accepted:  Out of bounds: MIN_SIGNIFICANT VCV_WIDTHVariance/covariance matrix:   The Matrix was singular DIST_T_START DIST_T_ENDDIST_T_N' distributions at mean covariate values DIST_ERR_C=t S(t) SE[S(t)] f(t) SE[f(t)] h(t) SE[h(t)] PLOTINIT# ( distributions at mean covariate values = DIST_ERR_Cset title "Survival Function"plot "=" using 1:2:3 with errorbars, "" using 1:2 notitle with linespause -1(set title "Probability Density Function"=" using 1:4:5 with errorbars, "" using 1:4 notitle with linesset title "Hazard Function"H" using 1:6:7 title "HF" with errorbars, "" using 1:6 notitle with linesSolution with  free parameterMETHOD = MAXITERMAXEVALSMAXTIMEConvergence at EPSILON   Reduced PRINT_SHORTLikelihood CI Results: ( evals)E Name Form Estimate Lower CI Upper CI@ Results. (! Name Form EstimateLogLikelihood:  AIC: @ Del(LL): Iterations:  Function evals:  Time: *Results with estimated standard errors. (M Name Form Estimate Std Error t against paramstartminmaxCIlowCIupVAR.LOW.HIGH.START.UCI.LCI.SEVCV LOGLIKELIHOOD FREE_PARAMSDELTA_LL ITERATIONSEVALS VCV_EVALSCI_EVALS INVERT_FLAG CONVERGE_FLAG METHOD_LOOP LOW_DEFAULT HIGH_DEFAULT START_DEFAULT TEST_DEFAULTllik SUM Ln(lik)= SURFACE_POINTSFree params = MLEFILEStart file is PRINT_FREE_PARAMS PRINT_INFOPOWELLDIRECT CGRADIENT1 CGRADIENT2SIMPLEX ANNEALING!Unimplemented or unknown METHOD: PRINT_PARAMS PRINT_VCVPRINT_SE INFO_METHOD1Computing covariance matrix PRINT_DISTS PLOT_DISTS INFO_METHOD2'Computing alternative covariance matrixPRINT_CI)Computing likelihood confidence intervals PRINT_LLIKSBICAICCAIC model selection TOTAL_OBSIC Sample size is Best model is number  with Model LL $ Delta PR(M) Odds ratio Params * Bayesian Model Average estimatesLParam Param Best model Best model BMA BMA NumberN # name estimate SE estimate SE averaged .trmTermination file is PRINT_BASICModel  Run  : TITLEUnexpected end of file DATAFILENAME reading observation , line  of , field . FREQUENCYFREQ PRINT_OBSPRINT_DATA_STATSNAME   N_VARS PRINT_BASICTITLEProgram file: MLEFILEInput data file name:  variables read. PRINT_FIELDS in field of line &Data transformation, bad function typeDropping datafile line .No data file assigned. Use DATAFILE procedureReading data from ... Can't have lines per observation. Max is  fields for line Var : on line DATADELIMITERSOpening DATAFILE for reading INPUT_SKIP$Unexpected end of line reading obs. Reading obs  line  field -->"Obs , var  col  "" --> was bad Bad value . Can't convert: " " to a number PRINT_COUNTS lines read from file  Observations kept and  observations dropped. Creating  observations with  variables each... lines created LINE_NUMBN_OBS DROPPED_OBS TOTAL_OBSybc3bbc4cbseHgffhfeeHgHgf4iwlkkjiiwlwl*ls[tqsr-rs[t[tCt$x{u{zyxx{{{‹ 54֌܋ϋdNAzɌ'ϊb`I̧nئ#Ǧo``4writing to a fileflushing FILE closing FILE opening for writing FILE opening for reading FILE opening for appending FILE OUTFILENAMEOpening OUTFILE for writing5 isn't a data variable. Can't change it to an array. Argument * to PTRANSFORM was not a variable, it was  to PTRANSFORM was a constant& to PTRANSFORM was not a REAL variable=Argument 3 to PTRANSFORM was not a REAL or INTEGER expression7PTRANSFORM must be called from within a MODEL statementIn assign_to_sym: ] is type Can't assign to this variableCan't assign a file type: +Couldn't determine the type when assigning In do_assign: sym .. func is type Can't assign to CONSTANT In assign_dataarray:  i= func is args is : Assign [] = ...Sysize  = .../Unexpected end of file in READ/READLN statement3Argument to READ/READLN was not a variable, it was &Argument to READ/READLN was a constantBad COMPLEX number format: ""Bad REAL number format: "Bad INTEGER format: "$Cannot READ/READLN BOOLEAN variables,Expected 1 to 3 arguments to GETDATE, found & to GETDATE was not a variable, it is to GETDATE is a constantInvalid argument to GETDATE,Expected 1 to 4 arguments to GETTIME, found & to GETTIME was not a variable, it is to GETTIME is a constant to GETTIME DATAFILENAMECan't find DATAFILE erasing file  to renaming file changing to directory creating directory deleting directory PLOTFILENAME.PLOTDATAFILENAMEOpening plot file GNUPLOTINIT2SHOWPLOT: plotfile is not defined (using PLOTFILE)pause -1GNUPLOTPATH : Call proc (): Call user procedure : IF: THEN: ELSE: REPEAT: WHILE00: CURVE,PLOT statement must be executed before CURVE1Wrong number of dimensions for 2nd or later curvesplot plot  , &3 dimensional CURVE not allowed for: " " using 1:"Too few CURVE expressions. Found  needed at least  axes  title " notitle with  \ set nomultiplot INTERMPLOT set multiplot set size , set origin : PLOT8PLOTFILE() must open the plot file before PLOT statementPLOTINIT : MULTIPLOT=PLOTFILE() must open the plot file before MULTIPLOT statementFOR loop step size is zero: FOR Can't use  as a FOR variable is wrong type [] for FOR loop variable: statement block : CONTINUE: EXIT: BREAK?Warning: the matrix is singularfffffff DX: param= its= dx= d_llik=Computing dx array for param iteration Computing COV[,]??@: f(x): f(x+dx)= f(x-dx)=  dx:  f'(x)=@i= j= = Computing COV2[ CI_CONVERGE CI_MAXITSComputing CI for parameter Warning:  Interval for param  did not converge to  in iterations not bound between  and CI_CHISQCI_LIMIT_DELTAUpperLower??@@@@@?@@@fffffff@Nr?il7? ףp= ף?-)? ףp= ף??RQ?̌@p= ףp@Q@)\(\@Q@@@@@@@@@@@@@@@@@@@@@@@@ @ @ @ @ @ @]?w2/?Z:*|A=cN hvEàg4w?+uM$H?e?OA" ?<,:?A ͘l@Q???VgC?W 3}?Ƙ?0&?$@QHh'@!sm @@@Bk$@>>.ü@7|Ub@rFB>@hm=?~3?&iq? Ų?4??-9o?F -L?bB;?E05?6('?Sv+?!wS\?"Hx?2V?R4 ?;$) .t?X䙜??@@@@@@@?@?f-value (arg1) of FDISTdf1 (arg2) in FDISTdf2 (arg3) in FDISTdf (arg2) in STUDENTTX^2 (arg 1) of CHISQdf (arg2) in CHISQINVCHISQ argument@@lÈ3?JnF?Ɠw?x?ؒA-u\Ǘ?@)B?@INVNORMAL parameter@Bad random seed: K}|;|nyyz{z+{|xx zy} |{ d,VڌqWWQ???VgC?W 3}?Ƙ?0&?$@QHh'@!sm @@@Bk$@>>.ü@7|Ub@rFB>@hm=?~3?&iq? Ų?4??-9o?F -L?bB;?E05?6('?Sv+?!wS\?"Hx?2V?R4 ?X tp7bel p c Y/;m%CgqMw!sI'O5S99?+}M}E]1i{b3bo&9;bbqWqy D'8qb; r;8/V^]j.^1{bF.Bu>     rq   g W o < C2  p Og  p 4    _  *o_5< , _  b  3   6Z , 3 transforms parameter p into a new parameter p' as ( p' = log[exp(p + XB)]/[1 + exp(p + XB)]1 0 < p' < 1 for NEGINFINITY < (p + XB) < INFINITY8 p' = 1/[1 + exp(p + XB)] if ALTERNATE_LOGISTIC = FALSEA p' = exp(p + XB)/[1 + exp(p + XB)] if ALTERNATE_LOGISTIC = TRUE p' = p*[1 + exp(XB)] NEGINFINITY < p' < INFINITY p' = p*(XB) p' = p*exp(XB) p' = exp(p + XB)8 0 < p' < INFINITY for NEGINFINITY < (p + XB) < INFINITY p' = 1/[p + exp(XB)] p + exp(XB) <> 0 p' = exp(XB)/p pnez p' = XB + 1/p p <> 0 p' = p^exp(XB) p' = p^XB p' = p/XB XB <> 0 p' = XB/p p' = p + XB p' = p (no transformation)2where XB is a vector of covariates and parameters. Function (x1, x2, ...)(x), returns Procedure , where optional_form is: FORM =  is one ofD SUMLL -- Takes the log of the likelihood and sums over the data: SUM or SUMMATION -- Sums loglikelihoods over the dataF PROD or PRODUCT -- Takes the product of likelihoods over the data The default is FORM = #A NORMAL hazard model is specified: PDF NORMAL (t1 t2 t3 t4)/ PARAM mean LOW=0 HIGH=10 START=2 END2 PARAM stdev LOW=0.001 HIGH=2 START=1 END= HAZARD COVAR age PARAM bage LOW=-1 HIGH=1 START=0 END= COVAR sex PARAM bsex LOW=-1 HIGH=1 START=0 END END {pdf}6A WEIBULL accelerated failure time model is specified: PDF WEIBULL (t1 t2 t3 t4)8 COVAR age PARAM bage LOW=-1 HIGH=1 START=0 END8 COVAR sex PARAM bsex LOW=-1 HIGH=1 START=0 END END {param mean}' where pdfname is a predefined pdf name! q - quantile (0 <= q <= 1), left - optional left truncation point. right - optional right truncation point2 parameters are the intrinsic params for pdf% including HAZARD, if allowedReturns the quantile function"QUANTILE pdfname(q) parameters END/QUANTILE pdfname(q, left, right) parameters END Examples: ) QUANTILE NORMAL(0.025, 0, 100) 4, 1 END" QUANTILE WEIBULL(RAND) 10, 2 END9Returns the p-hazard (the hazard for a given probability)!PHAZARD pdfname(q) parameters END.PHAZARD pdfname(q, left, right) parameters END Example: PHAZARD NORMAL(0.025) 4, 1 END%Returns the quantile density functionQDF pdfname(q) parameters END*QDF pdfname(q, left, right) parameters END$ QDF NORMAL(0.025, 0, 100) 4, 1 END-Returns the pdf, cdf, sdf, or hazard functionPDF pdf_spec END+ where pdf_spec is a pdf type, for example:7Returns the p-pdf (the density for a given probability)PPDF pdfname(q) parameters END+PPDF pdfname(q, left, right) parameters END% PPDF NORMAL(0.025, 0, 100) 4, 1 END% PARAM p END: p is a parameter to be estimated. may containF LOW = expr HIGH = expr START = expr TEST = expr FORM = param_form0 covarlist is 0 or more covariates specified as: COVAR expr1 expr2User defined functions) FUNCTION : END> FUNCTION ( : . . .): ENDA is the formal name of the argument within the procedure* is a type (INTEGER, REAL, etc.)7 the variable RETURN is defined for the return value1e.g FUNCTION triple(v:REAL):REAL RETURN=v*3 END=Simple functions have 0 or more arguments and return a value.?Arguments are enclosed in parenthesis. E.g. SIN(x), ROOT(16, 2)=Type mle -h FUNCTIONS for a complete list of simple functionsDATA optional_form expr END@ Computes a likelihood over the current data. Expr is evaluatedL over all observations. The sum or product of the (logged) data is computed-LEVELDELTA expr1 THEN optional_form expr2 END9 Computes a nested likelihood while expr1 does not change7 The nested likelihood (expr2) is returned as a single  likelihood when expr1 changes.(LEVEL expr1 THEN optional_form expr2 END6 Computes a nested likelihood by evaluating expr2 over9 all observations while expr1 is true. The likelihood is9 returned as a single likelihood when the condition fails1The IF function conditionally returns expressions#IF bexpr1 THEN expr2 ELSE expr3 END:IF bexpr1 THEN expr2 ELSEIF bexpr4 THEN ... ELSE expr3 END7 Evaluates and returns expr2 if boolean bexpe1 is true;8 otherwise evaluates and returns expr3. The second form2 allows multiple levels of conditional evaluation."PRODUCT i (expr1, expr2) expr3 END)PRODUCT i (expr1, expr2, expr4) expr3 END i is the variable of summation.2 expr1 is evaluated for the lower summation limit.2 expr2 is evaluated for the upper summation limit.6 expr3 (may reference i) is multiplied over the limits, expr4 is an optional convergence criterion.+SUMMATION i (expr1, expr2, expr4) expr3 END$SUMMATION i (expr1, expr2) expr3 END2 expr3 (may reference i) is summed over the limits+ expr4 is an optional convergence criterion"FINDZERO v (expr1, expr2) expr END)FINDZERO v (expr1, expr2, expr3) expr END0FINDZERO v (expr1, expr2, expr3, expr4) expr END' v is variable to search for zero over.+ expr1 is the lowest bounds in v to search., expr2 is the highest bounds in v to search.$ expr3 is the convergence criterion.+ expr4 is the maximum number of iterations.2 expr is the function (of v) whose zero is sought.!FINDMIN v (expr1, expr2) expr END(FINDMIN v (expr1, expr2, expr3) expr END/FINDMIN v (expr1, expr2, expr3, expr4) expr END6FINDMIN v (expr1, expr2, expr3, expr4, expr5) expr END v is variable to search over.( expr3 is the starting value of v to use$ expr4 is the convergence criterion.+ expr5 is the maximum number of iterations.' expr is the function (of v) to search. DERIVATIVE v = expr1, expr2 END&DERIVATIVE v = expr1, expr2, expr3 END(DERIVATIVE (expr4) v = expr1, expr2 END.DERIVATIVE (expr4) v = expr1, expr2, expr3 END& v is the variable of differentiation.8 expr1 is the value at which to evaluate the derivative.; expr2 is the expression for which the derivative is found.< expr3 (if any) is the largest (initial) value of dx to use.1 otherwise DIFF_DX is used for dx (default:; expr4 (if any) is the order of the derivative to be found.:A data array initializes single or multidimensional arrays- :[i TO j] = [, ...]? :[i TO j, ...] = [[, ..., ] [...] ...]4e.g. i:BOOLEAN[1 TO 4] = [TRUE, FALSE, FALSE, TRUE]7e.g. i:INTEGER[1 TO 2, 1 TO 3] = [[1, 2, 3] [4, 5, 6]]$INTEGRATE v (expr1, expr2) expr3 END+INTEGRATE v (expr1, expr2, expr4) expr3 END" v is the variable of integration.7 expr1 is evaluated for the lower limit of integration.7 expr2 is evaluated for the upper limit of integration.- expr3 is the integrand, and may reference v.E INTEGRATE_METHOD = I_TRAP_CLOSED uses closed trapezoidal integrationA INTEGRATE_METHOD = I_TRAP_OPEN uses open trapezoidal integration; INTEGRATE_METHOD = I_SIMPSON uses open simpson integrationJ INTEGRATE_METHOD = I_AQUAD (default) uses adaptive quadrature integration3 INTEGRATE_N is the number of iterations (default: 6 INTEGRATE_TOL is the convergence criterion (default: il7?POSTASSIGN expr, statement END= expr is evaluated (and returned), then statement is executedPREASSIGN statement , expr END: executes a statement, and then evaluates and returns exprInformation unavailable for ! Gamma(x) is the gamma function4 Phi(x) is the standard cumulative normal function= phi(x) is the standard normal probability density function where z = (t - a)/bwhere z = (-t - a)/b! psi(x) is the digamma function# psi'(x) is the trigamma function/ IGamma(x,y) is the incomplete gamma function- ibeta(x,y) is the incomplete beta function" BetaF(x,y) is the beta function is rounded to an integer3f(t)=(c/b)*z^(c-1)/[(1+z^c)^2]; S(t)=1-1/[1+z^(-c)]Cmean=a+(b*pi/c)*csc(pi/c); mode=a+b*root[(c-1)/(c+1),c]; median=a+b5var=b^2*(2*pi/c)*csc(2*pi/c)-b^2*[(pi/c)*csc(pi/c)]^2t(q) = a+b*root[q/(1-q),c].f(t)=exp(z)/{b[1+exp(z)]^2}; S(t)=1/[1+exp(z)].mean = mode = median = a; var = (pi^2)*(b^2)/39f(t)=exp[-(z^2)/2]/sqrt(b*2*pi) = phi(z); S(t) = 1-Phi(z)mean=median=mode=m; var=b^2If(t)={phi[(t-a)/b] + phi[(t+a)/b]}/b; S(t) = 1-Phi[(t-a)/b]+Phi[(-t-a)/b]#Dist for |t| where t ~ normal(a, b)0f(t)=exp[-(log(t)-a)^2/(2*b^2)]/[t*b*sqrt(2*pi)]"call m=exp(a) and w=exp(b^2) then:=t(right trunc)h(t)=07Returns 1 if exact failure or interval censored failure7Returns 0 if right censored or t(close)>=t(right trunc)?h(t)=a*exp(b*t); S(t)=exp{(a/b)*[1-exp(b*t)])}; f(t)=h(t)*S(t)= 0)h(t) = p(t)a1 + (1-p(t))a2 + a3*exp(b3*t)f(t)=1/[pi*b*{1+z^2}]S(t)=0.5 - (1/pi)*arctan(z)'mode = median = a; moments do not exist?This is the type 1 largest extreme value (Gumbel) distribution:"f(t) = (1/b)*exp(-z)*exp[-exp(-z)]S(t) = 1-exp[-exp(-z)]7mean = a+b*0.57721; median = a-b*log[log(2)]; mode = a;var = (pi^2)*(b^2)/67This is the type 1 smallest extreme value distribution:7f(t) = (1/b)*exp(z)*exp[-exp(z)]; S(t) = 1-exp[-exp(z)]S(t) = 1-exp[-exp(z)]7mean = a-b*0.57721; median = a+b*log[log(2)]; mode = a;6This is the type 2 largest extreme value distribution:f(t) = c*z^(-c-1)*exp(-z)^(-c)S(t) = 1-exp[-z^(-c)]7This is the type 2 smallest extreme value distribution:S(t) = exp[-z^(-c)]6f(t) = (b*a^b)/[t^(b+1)]; S(t) = (a/t)^b; h(t) = b/t:mean = b*a/(b-1) for b>1; var = b*a/[(b-2)(b-1)^2] for b>2mode = a median = a*2^(1/b)#Stable distributions have 0 < b < 26a is the characteristic life ~= 63.2th % in units of aAf(t) = S(t)h(t); S(t) = exp[-(t/a)^b]; h(t) = [b*t^(b-1)]/(a^b)@mean = a*Gamma[1+1/b]; var = (a^2)*Gamma[1+2/b]-{Gamma[1+2/b]}^2Gmode = a(1-1/b)^(1/b) for b>1; mode = 0 for b<=1; median = a*log(2)^0.5#h is the underlying constant hazard/c describes the distribution of h ~ Gamma(c, c)Jf(t) = h*c^(c+1)/(h*t+c)^(c+1); S(t) = [c/(c+h*t)]^c; h(t) = [b*c/(h*t+c)]*mean hazard = h); Variance in hazard = 1/c a (scale)Af(t) = [t/(a^2)]*exp[-(t^2)/(2*a^2)]; S(t) = exp[-(t^2)/(2*a^2)]h(t) = t/(a^2)Jmean = a*(pi/2)^0.5; var = (2-pi/2)*a^2; mode = a; median = a*[log(4)^0.5]2Distribution of a series of 2 exponential failures&f(t) = a*b*[exp(-a*t)-exp(-b*t)]/(b-a)&S(t) = [b*exp(-a*t)-a*exp(-b*t)]/(b-a)0mean = 1/a + 1/b ; variance = 1/(a^2) + 1/(b^2)mode = 0= 0; t >= 0 n >= 0*Right and left truncation is not availableL = Bin(n0, na){[1-S(a)]^(n0-na)}{[S(a)-S(am)]^(na)}/[1-s(am)]-where s(x) = exp(-r*x), and am = ln(nm/n0)/-r6Constraints: all parameters and variables must be >= 0$Right truncation is ignored if d = 06Not enough variables are passed to FDEPLETE. 3 needed.t is an outcome variable, which is zero or onereturns p if outcome = 1 returns 1 - p if outcome = 0 mean = p; var = pq?f(t) = t^(a-1)*(1-t)^(b-1)/BetaF(a,b); S(t) = 1-ibeta(t, a, b)1mean = a/(a+b); mode = (a-1)/(a+b-2) for a>1, b>1var = a*b/[(a+b-1)(a+b)^2]Ef(t) = [h^c]t^(c-1)/[Gamma(c)exp(h*t)]; S(t) = IGamma(c,h*t)/Gamma(c)>mean = c/h; var = c/(h^2); mode = (c-1)/h for c>=1 otherwise 0=1 2 or 0 for a <= 2; var = 2a*b^2/f(t) = exp[-(t^c)/2]/[b*2^(1+1/c)*Gamma(1+1/c)],S(t) = [1 + sgn(t-a)*IGamma(1/c, 0.5*z^c)]/2Cmean = median = mode = a; var = (b^2)*2^(2/c)*Gamma(3/c)/Gamma(1/c)-f(t) = (b/t)^(a+1)*[2^(1-a/2)]/[b*Gamma(a/2)]#S(t) = 1 - IGamma[c/2, 0.5*(b/t)^2]@mean = Gamma[(a-1)/2]*b/[sqrt(2)*Gamma(a/2)]; mode = b/sqrt(a+1)var = (b^2)/(a-2) - mean^28f(t) = [z^(c-1)]*exp(-0.5*z^2)*[2^1-c/2)]/[b*Gamma(c/2)]S(t) = 1 - IGamma[c/2, 0.5*z^2],mean = a+sqrt(2)*b*Gamma[(c+1)/2]/Gamma(c/2)*mode = a+b*sqrt(c-1) for c>1 or a for c> 1var = Kf(t) = (z^2)*exp(-z*2)*4/[sqrt(pi)*b]; S(t) = erf(z)-z*exp(-z^2)*2/sqrt(pi)8mean = a+2*b/sqrt(pi); median ~= a+1.12531*b; mode = a+bvar = (3/2 - 4/pi)*b^25f(t) = 1/{pi*sqrt[t*(1-t)]}; S(t) = arccos[2t-1]*2/pi#mean = median = 1/2; mode = 0 and 1 var = 1/8*f(t) = [(a+b-t)^(c-1)]*c/b; S(t) = (1-z)^c*mean = a+b/(c+1)); median = a+b-b*2^(-1/c)0mode = a for c>1 or a+b/2 for c=1 or a+b for c<1var = (c*b^2)/[(c+2*)(c+1)^2]"f(t) = (c/b)*z^(c-1); S(t) = 1-z^c)mean = a+b*c/(c+1); median = a+b*2^(-1/c)0mode = a+b for c>1 or a+b/2 for c=1 or a for c<1#f(t) = 1/(1+t)^2 ; S(t) = 1-t/(1-t)&mean = var = +oo; median = 1; mode = 01f(t) = c*(b^c)/(t-a)^(c+1); S(t) = [(t-a)/b]^(-c)1; median = a+b*2^(1/c); mode = a+bvar = c*(b^2)/[(c-2)(c-1)^2]Kf(t) = exp{-[log(z)^2]/(2*c^2)}/[(t-a)*c*sqrt(2*pi)]; S(t) = 1-Phi(ln(z)/c);mean = a+b*exp(0.5*z^2); median = a+b; mode = a+b*exp(-c^2)!var = (b^2)*exp(c^2)*[exp(c^2)-1]/f(t) = [z^(c-1)]exp(-z^c)*c/b; S(t) = exp(-z^c)1mean = a+b*Gamma(1+1/c); median = a+b*ln(2)^(1/c)0mode = a+b*[(c-1)/c]^(1/c) for c>1 or a for c<=1(var = (b^2)[Gamma(1+2/c)-Gamma(1+1/c)^2]1 or c for b<=1"var = (c^2)(a+b-1)b/[(a-2)(a-1)^2]Jf(t) = (c^b)*[t^(a-1)]/[BetaF(a,b)*(t+c)^(a+b)]; S(t) = iBeta(t/(t-a),a,b)8mean = c*a/(b-1); mode = c*(a-1)/(b+1) for a>1 or 0 a<=0"var = (c^2)(a+b-1)a/[(b-2)(b-1)^2]7f(t) = exp[-(t/b)^c]*[t^(a*c-1)]*c/{[b^(a*c)]*Gamma(a)}S(t) = 1-IGamma[a, (t/b)^c]mean = b*Gamma(a+1/c)/Gamma(a)2mode = b*(a*c-1/c)^(1/c) for a*c>1 or 0 for a*c<=15The inverted gamma is a Pearson's type V distributionDf(t) = exp(-b/t)*[(b/t)^(a+1)]/[b*Gamma(a)]; S(t) = 1-IGamma[a, b/t]mean = b/(a-1); mode = b/(a+1)var = (b^2)/[(a-2)(a-1)^2]IHORSESHOE family includes symmetric quad, quart, and sextic distributionsf(t) = (c+1)(z^c)/(2*b)ES(t) = 1-[1+z^(c+1)]/2 for amean = median = a; mode = a+b and a-b; var = (c+1)*(b^2)/(c+3)Dalso called double, two-tailed or bilateral exponential distributionIf(t) = exp(-z)/(2*b); S(t) = exp(-z)/2 for t > a or 1-exp(z)/2 for t <= a&mean = median = mode = a; var = 2*b^2 : () 0 <  < 2*pi#max(0, m-n+n*p) <= t <= min(m, n*p)1 <=  <= -oo <  < +oo -  + -pi < ()/ < pi >=  + 4*ta <  < tw0 <=  <= aa >=  >= a-1 <=  <= 1Unknown constraints on discrete continuous4 < variables: t(open), t(close), t(left trunc), t(right trunc)#Exact failure when t(open)=t(close)Range: 8 9 variables: tx(open), ty(open), tx(close), ty(close)F tx(ltrunc), ty(ltrunc), tx(rtrunc), ty(rtrunc) Distribution intrinsic parameterNos:PDF/SDF info unavailable.Covariate effects may be modeled on the hazard2Covariates effects cannot be modeled on the hazard couldn't call PDF  couldn't call SDF  (|  leftt= rightt=NN>vvRwCVuV<;;:i;<<8<<::);;;;;aadpd[d_[dpdc9]^dcdapdpddd^dd]s\_[g_g`5b-__[ddpddd\]dIag`_dd[d^c_[Wcd]d_[dd9\_[_[dbdd!aWd{bdda9^c`d-`_pd\dWdd`_[xxxwwwlwxhxxxxxx{{V{'{zzz z-(~߆?ŠԚ"""""""""""""E#E9حwZ=y ײm)" 8Ҧ$ʫWld@:yyʥjT>(a9bCڧM!ɨħǣϪݢĠxªvޤB١YN*"Q)E8zV/ڴ1x'^B s+4i`=ӽsssBBBBBssssBsssFʼܾrssssȷBBsWBssssBBssBssBBBssssBBsBBBs^OssBsBsssssssssssssssss)BB)BssSssjfBBsssBBBwssBBBBBs]s"s sss#{BBB1 sssssssssssssssXf = prod(f) = Sum(f) = illik =  Sum(illik) = @"Internal error finding constraints?Ngb@ S Integrate()=  its= Warning:  iterations in S Integrate() =UUUUUUU@UUUUUUU??openT Integrate( = UUUUUUU?UUUUUUU?UUUUUUU?closedT Integrate(@@PP?*(뽔?A^*sa@@Adapt Quad Int( Error est= # Func calls = . Failed Subintervals = . % failed=3333333?GzG?DERIVATIVE converged in  evals.DERIVATIVE quit in SUM(PRODUCT( Solvevalue(Warning: FINDZERO reached max iterations*Warning FINDMIN reached maximum iterations Solvequantile-Warning: solvequantile reached max iterationsQUANTILE probability"Cannot call QUANTILE function for 8SETRANSFORM must be called from within a MODEL statementCall user-defined FUNCTION () type Exit user-defined FUNCTION can't be called with subscriptsMissing subscript, dimension  for, Subscript out of range for . Found . Valid range is [ to ]Calling boolean func  with bool args with string/char args with integer args with complex args with real args with file argsMLEFILEpltoutCalling STRING func Bad string identifier type found*CHAR function got a string of length <> 1 -assigning a STRING with length <> 1 to a CHARBad CHAR identifier type foundBad file identifier type found Bad string "" in STRING2INT@calling TRUNC(): out of range of integercalling ROUND(Calling integer func !Bad integer identifier type found Bad ident . Expected REAL type, found Internal arg count errorFunction MIX, p = 0Attempted the square root of a negative number: INVNORMAL prob is > 0 or < 1Attempted division by zeroINVCHISQ prob is > 0 or < 1INVCHISQ df is <= 0"Unimplemented integration method: Bad real ident. is type @llik= freq= Sllik=Func () =  p: , ; [ ] ( ) - = == > < >= <= <> ^ * / + : STATIC INTEGER REAL COMPLEX BOOLEAN STRING CHAR FILE DATA FIELD LINE MODEL PLOT CURVE MULTIPLOT SURFACE KEY WITH AXES BY PROCEDURE FUNCTION INCLUDE NFUNCTION BFUNCTION IFUNCTION SFUNCTION CMPLX FUNCTION DIST FUNCTION INTRINSIC PROC FOR STEP STEPS TO IF REPEAT UNTIL WHILE DO VAR BEGIN CONTINUE BREAK EXIT FORM DATA FORM THEN ELSE ELSEIF PARAM COVAR HAZARD RUN LOW HIGH START TEST FORM FULL REDUCE END DIV MOD SHL SHR AND OR XOR NOT TRUE FALSE MLE KEEPIF DROPIF _START END OF FILE MATCH ' MATCH "  COMMENT # END LINE QUOTED STR Character IN IDENT IDENTIFIER END OF LINE  SYMBOL OPERATOR  BAD BOOLEAN const REAL number COMPLEX number INT number  number W$$$8$$$$$$$$RRRRRR6unnn Gnnnnnnnnnnnnnnxf+]uIYYYYzoAc'$t$++++++++++++$U,%,#,#,#,#,#I%+"+U,;"+,#S$+++++'C,C, $),#""""+ U,%**++5))++!)+++++5$C,A&(""5$"""$'+%!"+!+"5$J#I+X#X#X#X#J#!I+G'G'G'5$I+f#+++++,#++d*$$"5$5$$'++&*t$;",#,#,#&g,$ ,#,#"""+f#,#&,#++++d(5$5$#++"""++"))$*" $++%A&A&A&A&A&&G't$G'+qITL L LTJMBJI\TOQQNOMQQMXXZZZZZZZZZ5XWZZZZZZZY:YHZ+_+_v__]__D_MLELIBS Reading from Error: bad syntax at: line  column in file (Unexpectedly came to the end of the fileThe bad token is: #One of the following was expected:   # Error found at the end of the file Error found while parsing " line  @@@Unclosed comment at end of file'Unclosed " at the end of a line or file#Unclosed ' at end of a line or file&Unexpected token or statement on line  col Token: Error: gettoken overflow(Bad number format found while scanning ""Token  l: c: -><-, %File , HAZARD  :=  END END  FORM= THEN  ELSEIF  ELSE  ) %TCan't assign value of type  to variable of type ` +" is not an array and cannot be subscripted*Non-integer subscripts found for variable . Type was %Wrong number of dimensions assigning . Expected , found Bad subscripts assigning . dimension   range:  to . Found: .Bad type assigned in statementCan't assign to constant 3Cannot assign an array variable/function to scalar  an array variable/function Arg  passed to VAR parameter is the wrong type. It must be  passed as a VAR parameter to Arg passed to VAR parameter  is not an identifier is a constantIncompatable arg (type ) passed for arg number . Type was expected Parse type for %FILE arguments must be VAR parameters4Incorrect number of dimensions in DATAARRAY. Found expected ==== def assignment of ==== array assignment to Subscripted variable "" does not exist==== assignment statement to INPUT_NAME INPUT_FIELD INPUT_LINEINFINITYSetup  field Added a transform that begins FREQUENCYFREQ0" already exists. It cannot be a DATA variable.created data var #  "var #  Bad argument type to function . Expected: Bad argument type to Undefined function called ' doesn't exists, so it can't be reduced  doesn't exist. It can't be a surface variable. isn't a model parameter. @*" exists and cannot be declared as a PARAM.UCI.LCI.VAR(Wrong number of parameters. Called with , expected , expected from @  New func:  Reading arg  of  for func: *" must be previously declared for use hereCall user def function  with argument Identifier 'Couldn't determine the type for symbol C const S const B const Cmplx const: R const: I const: 0 Boolean expression was expected Creating model variables.SE LOGLIKELIHOOD FREE_PARAMSDELTA_LL ITERATIONSEVALS VCV_EVALSCI_EVALS INVERT_FLAG CONVERGE_FLAGVCVCreated model variables$Expected a string or string functionA string must follow (Expected a positive constant instead of DFTIMEODFTIMEC==== Begin Intrinsic PROCEDURE  Call==== End Intrinsic PROCEDURE *==== Begin user-defined PROCEDURE call to (==== End user-defined PROCEDURE call to ==== Begin IF THEN statement@@==== End IF THEN statement==== Begin REPEAT statement==== End REPEAT statement==== Begin WHILE statement==== End WHILE statement==== Begin FOR statementSTEPS variable must be integerFOR variable () with STEPS must be type REAL==== End FOR statement==== Begin BEGIN...END sequence==== End BEGIN...END sequence==== CONTINUE statement==== EXIT statement==== BREAK statement==== Begin MODEL statement==== End MODEL statement ! numeric expr are required for a -dimensional curve not allowed here in CURVE==== Begin CURVE statement==== End CURVE statement==== Begin PLOT statement==== End PLOT statement==== Begin MULTIPLOT statement,Arguments to MULTIPLOT must integer. Found  and ==== End MULTIPLOT statement==== Begin INCLUDE directive==== End INCLUDE%==== Begin PROCEDURE define statement#==== End PROCEDURE define statement$==== Begin FUNCTION define statementRETURN"==== End FUNCTION define statement==== Begin DATA statement==== End DATA statementUnknown statement begining  -> End Parsing. Begin executionNot done *Stopped after maximum function evaluations *Stopped after maximum number of iterations Stopped after maximum time Stopped by termination file Converged normally #Trouble converging in one dimension /Starting value is not within min and max bounds $Starting temperature is not positive Did not converge SUM SUMSQMEAN VAR STDEVMIN MAX ADD DIVIDE EXCESS EXPADD INVADD INVERT  INVLOGLIN  INVMULTIPLYLOGISTIC LOGIT LOGLIN MULTIPLY NUMBER POWER POWEREXP  boxerrorbars boxes boxxyerrorbars candlesticks dots  errorbars  financebars fsteps histeps impulses lines  linespoints points steps vector  xerrorbars  xyerrorbars  yerrorbars SUMLL SUM SUMMATIONPROD PRODUCT a b c d e f h c r n h a1b1a2a3b3r a1a2b2 p h1h2 p n p m n p n c uxsxuysyr c p a1a2a3b3r ? Time Shape Scale Location Rate Count Hazard Hazard Proportion Correlation Age-dependent hazardPower Circular location           ALPHA X    ARCSINE    , ASYMPTOTICRANGE     ATRESIA     BERNOULLITRIAL   `  BETA     BINOMIAL   `  BIRNBAUMSAUNDERS X     BIVNORMAL    $ CAUCHY     CHI 8     CHISQUARED `    COMPOUNDEXTREME     DANIELS    , DISK      EXPONENTIAL (   , FAILED     FDEPLETE     FL2PT 0  L   FOLDEDNORMAL     GAMMA X   4  GAMMAFRAIL @   , GAUSSIAN     GENGAMMA      GENGUMBEL      GEOMETRIC H  `  GOMPERTZ P  $ < GUMBEL      HORSESHOE 8    HYPERBOLICSECANT     HYPERGEOMETRIC   t   HYPER2EXP 0  L  HYPO2EXP `   D IMMUNE     INVBETA1     INVBETA2     INVCHI X    INVGAMMA X     INVGAUSSIAN `    LAPLACE      LARGEEXTREME1      LARGEEXTREME2      LINEARHAZARD X   < LNGAMMA X     LNLOGISTIC     LNNORMAL X    LOGISTIC      LOGNORMAL X     LOGSERIES   L  LOWMAX     MAKEHAM h  8 < MAXWELL      MIXMAKEHAM p   L  NEGBINOMIAL   `  NEGHYPERGEOMETRIC  t  NORMAL     PARETO X    PASCAL   `  POISSON    d POLYAEGGENBERGER      POWERFUNCTION  8     RAISEDCOSINE      RANDOMWALK     RAYLEIGH x     RECTANGULAR     REVPOWERFUNCTION  8     RINGINGEXP0 8     RINGINGEXP180     SHIFTEXPONENTIAL      SHIFTGAMMA 8    SHIFTLOGNORMAL 8     SHIFTWEIBULL     SILER   $ T  SMALLEXTREME1      SMALLEXTREME2     STERILE     SUBBOTIN     THOMAS    d UNIFORM     VONMISES    \ WEIBULL @     ZIPF      IDENTIFIER FUNCTION ARRAY DATA DATAARRAY DERIVATIVE FINDMIN FINDZERO FUNCTION IF INTEGRATE LEVEL LEVELDELTA PARAM PDF PHAZARD PPDF POSTASSIGN PREASSIGN PRODUCT QUANTILE QDF SUMMATION ABS  |x|, the absolute value of x ADD x1 + x2 ANDF  x1 and x2 ARCCOS the inverse cosine of x ARCCOSH "the inverse hyperbolic cosine of x ARCCOT the inverse cotangent of x ARCCOTH %the inverse hyperbolic cotangent of x ARCCSC the inverse cosecant of x ARCCSCH $the inverse hyperbolic cosecant of x ARCSEC the inverse secant of x ARCSECH "the inverse hyperbolic secant of x ARCSIN the inverse sin of x ARCSINH the inverse hyperbolic sin of x ARCTAN the inverse tangent of x ARCTANH #the inverse hyperbolic tangent of x ARG !the argument for complex number x ARGCOUNT $the number of command line arguments ARGSTRING the x-th command line argument BESSELI 2the modified Bessel fcn I (integer order x1) of x2 BESSELJ .the Bessel fcn J (integer order x1) of real x2 BESSELK 2the modified Bessel fcn K (integer order x1) of x2 BESSELY )the Bessel fcn Y (integer order x1) of x2 BETA the Beta fcn for x1, x2 BOOL2STR a string from boolean x CEIL the least integer >= x CHISQ 3area beyond x1 of a Chi^2 distribution with x2 d.f. CHR  CHAR number x CLOCKSEED a seed based on date and time COMB .combinations of x1 elements taken x2 at a time COMP &the complement of x. SIGN(1-ABS(x), x) COMPN -the x2 complement of x1. SIGN(x2-ABS(x1), x1) CONCAT 2 strings concatinated COS the cosine of x COSH the hyperbolic cosine of x COT the cotangent of x COTH the hyperbolic cotangent of x CSCH the hyperbolic cosecant of x DEC x - 1 DEFAULTOUTNAME a reasonable output file name DEFAULTPLOTNAMEa reasonable plot file name DELTA $Kronecker's delta. 1 if x1=x2 else 0 DIREXISTS !whether or not directory x exists DIVIDE x1/x2 DMSTOD *degrees from degrees, minutes, and seconds DMSTOR *radians from degrees, minutes, and seconds DMYTOJ $Julian day from day, month, and year DTOR radians from degrees EARTHDIST 7distance on earth (in km) between lat1 long1 lat2 long2 ENVCOUNT #the number of environment variables ENVSTRING the x-th environment variable EOF &TRUE when FILE x is at the end of file EOLN $TRUE when FILE x is at end of a line ERF  the error fcn ERFC the complementary error fcn EXEC 3OS exit code. Exectutes OS command X1 w/ options X2 EXISTS whether or not a file exists EXP e^x FACT x! FDIST $area past x1 of a F dist (x2, x3 df) FILESIZE size of file x FISHER "Fisher transform ln((1+x)/(1-x))/2 FISHERINV .inverse Fisher transf. (exp(2x)-1)/(exp(2x)+1) FLOOR the greatest integer <= x FRAC the fractional part of x GAMMA  the gamma fcn GCF 'the greatest common factor of x1 and x2 GETDIR the current directory name GETENV #the value of environment variable x HEAVISIDE 1 if x>=0 else 0 IBETA the incomplete beta fcn IBETAC )the complement of the incomplete beta fcn IDIV  x1 div x2 IGAMMA the incomplete gamma fcn IGAMMAC *the complement of the incomplete gamma fcn IGAMMAE IGAMMA(x1, x2)*ROOT(x2, x1) IM ,imaginary part of complex number x as a real INC x + 1 INT the integer part of x INT2STR a string from x INVBETA /the inverse BETA with prob x1, arguments x2, x3 INVCHISQ -the inverse chisq with probability x1 (x2 df) INVERT 1/x INVFDIST .inverse F dist with probability x1 (x2, x3 df) INVNORMAL *inverse standard normal with probability x INVSTUDENTT -inverse Student T with probability x1 (x2 df) IRAND a random integer from x1 to x2 ISEQ x1 = x2 ISEVEN TRUE if integer x is even ISGE x1 >= x2 ISGT x1 > x2 ISLE x1 <= x2 ISLT x1 < x2 ISNE x1 <> x2 ISNEAR *TRUE if x1 is in [x2-x3, x2+x3] else FALSE ISODD TRUE if integer x is odd JULIAND %the day of the month for a julian day JULIANM the month for a julian day JULIANY the year for a julian day LCM &the least common multiple of x1 and x2 LEAPYEAR TRUE if x is a leap year LEFTSTRING 'the leftmost x2 characters of string x1 LN *the natural (Naperian) log of x (also LOG) LNFACT ln(x!) LNGAMMA  ln(gamma(x)) LOG )the natural (Naperian) log of x (also LN) LOG10 the log (base 10) of x LOGBASE the log (base x2) of x1 LOGISTIC 41/(1 + exp(x)) (its complement if alt_logistic=true) LOGIT  ln(x/(1 - x)) LUNARPHASE approximate phase of the moon MAX the greatest of x1 and x2 MIN the least of x1 and x2 MIX x1*x2 + (1 - x1)*x3 MODULO integer mod function MONTHDAYS 'number of days for month x1 and year x2 MULTIPLY x1*x2 NEGATE -x NORMAL normal pdf at x NORMALCDF normal cdf at x NOTF NOT x ORD the ordinal value of char x ORF x1 or x2 PERMUTATIONS 3permutations: x1 taken x2 at a time: x1!/(x1 - x2)! POLARTORECTX !rectangular x from 2 polar coords POLARTORECTY !rectangular y from 2 polar coords POWER x1 to the power x2. x1^x2 PUT x and writes it to output RAND random number from 0 to 1 RE real part of complex x REAL2STR 0a string from real x1, width x2, x3+ sig. digits RECTTOPOLARA %polar angle from 2 rectangular coords RECTTOPOLARR &polar radius from 2 rectangular coords RECTTOSPHEREA1 *spherical angle1 from 3 rectangular coords RECTTOSPHEREA2 *spherical angle2 from 3 rectangular coords RECTTOSPHERER *spherical radius from 3 rectangular coords REMAINDER 0remainder: x1 - x2*int(x1/x2) if x2 <> 0, else 0 RIGHTSTRING (the rightmost x2 characters of string x1 ROOT x1 to the power 1/x2 ROUND  x rounded to the nearest integer RRAND "a real random number from x1 to x2 RTOD degrees from radians SEC the secant of x SECH the hyperbolic secant of x SETRANSFORM SE of x within a MODEL SGN 1 (x>0), 0 (x=0), -1 (x<0) SHIFTLEFT "x1 bit-shifted x2 bits to the left SHIFTRIGHT "x1 bit-shifted x2 bits to the left SIGN x1 with the same sign of x2 SIN  the sine of x SINH the hyperbolic sine of x SPHERETORECTX %rectangular x from 3 spherical coords SPHERETORECTY %rectangular y from 3 spherical coords SPHERETORECTZ %rectangular z from 3 spherical coords SQR  x squared SQRT the square root of x STANDARDIZE  (x1 - x2)/x3 STRINGLEN length of string x STRING2INT an integer from string x STRING2REAL a real from string x STUDENTT (area past x1 of a Student T dist (x2 df) SUBSTRING +substring of x1 from position x2, length x3 SUBTRACT x1 - x2 TAN the tangent of x TANH the hyperbolic tangent of x TOBASE x1 as a string in base x2 TOLOWER lower case string TOUPPER upper case string TRIM )x1 trimmed of leading and trailing spaces TRIML x1 trimmed on leading spaces TRIMR x1 trimmed of trailing spaces TRUNC integer part of real number x WEEKDAY 1day of the week (Sun=1 Mon=2...) for a julian day XORF  x1 xor x2 YEARDAY /day of the year (1-jan = 1...) for a julian day ZETA )Riemann's zeta = sum k (1 to oo) of 1/k^x CHDIR "Changes to the specified directory CLOSE  Closes a file DATAFILE Names and assigns the data file DATATOARRAY %Converts DATA variable(s) to array(s) DEC Adds one to an integer variable DUMPSYMBOL -Gives information about a symbol-table symbol DUMPTABLE "Prints out the entire symbol table ERASE  Erases a file FINISHPLOT 2Closes plotfile, generates (pauses if true) a plot FLUSH Flushes a file buffer GETDATE Returns current Year, Month, Day GETTIME /Returns current Hour, Minute, Second, 100th_Sec HALT Halts execution of the program INC &Subtracts one from an integer variable MKDIR Creates a directory OPENAPPEND Opens a text file for appending OPENREAD Opens a text file for reading OPENWRITE Opens a text file for writing OUTFILE  Names and assigns an output file PLOTFILE $Opens plot file (FPLOT) for plotting PRINT Prints arg(s) to the output file PRINTLN *Prints arg(s) to the output file w/newline PTRANSFORM 3Computes x1 and StdErr (x2) from Expr x3 (in MODEL) READ Reads from a file READLN Reads a line from a file RENAME Changes a file's name RMDIR Deletes a directory SEED Sets a random number seed WRITE (Writes arg(s) to standard output or file WRITELN 2Writes arg(s) to standard output or file w/newline WRITEPLOT Writes arg(s) to the plot file WRITEPLOTLN (Writes arg(s) to the plot file w/newline ZК"Ba :eXit Resume One_step Pick_sym Change_sym Search_syms Help:Symbol: TRUEFALSE Index (1 to ): New value: Assignment failedText to search symbols on: Menu: EXit mle Resume solving Resume solving for One step Pick a symbol Change the value of a symbol  Search for symbols by namehuh? : SYMBOLINFINITERATION_PRINT CREATE_OBS;On?DIFF_DXMAXITERMAXTIMEMAXEVALS#GGŧ?EPSILON MINIMUM_ITS FIND_MAXITSFIND_EPSDFTIMEODFTIMEC? DIST_DX_SCALETERMFILE? SA_COOLING SA_ADJ_CYCLESSA_STEPS@SA_TEMPERATURE SA_EPS_NUMBER SA_STEPLENGTH@SA_STEPLENGTH_ADJ?SA_ADJ_LOWERBOUNDSA_ALT_ADJUSTMENT AIC_SELECT AICC_SELECT BIC_SELECTIC_SAMPLE_SIZE INFO_METHOD1 INFO_METHOD2EULERSCPLANCKSC PLACNKINV2PI AVOGADROSN ATOMICMASSU BOHRMAGNETON BOHRRADIUS BOLTZMANNSCRYDBERGCLIGHTC UNIVERSALGASCGRAVITATIONALCLOG_10MAXINTPIJXT@EGNUPLOTmle PROGRAM_NAMEVERSIONREVISIONRELEASE(c)1991-2002 Darryl J Holman COPYRIGHTOSSEP OSVERSION MAX_CHARS MAX_BOOLEANS MAX_INTEGERS MAX_REALS MAX_STRINGSM2rà@CI_CHISQDIRECTMETHOD PRINT_LLIKSPRINT_CIPRINT_SE PRINT_PARAMS PRINT_VCV PRINT_INFO PRINT_OBS PRINT_FIELDS PRINT_COUNTS PRINT_BASIC PRINT_SHORTPRINT_DATA_STATS PRINT_DISTS PLOT_DISTSPRINT_FREE_PARAMS METHOD_LOOP DIST_T_START@ DIST_T_ENDDIST_T_N DIST_ERR_C PLOTPOINTS VCV_WIDTH, DATADELIMITERSDOSWindowsOS2Win32Kset terminal windows; reset; set data style lines; set autoscale; set nokey GNUPLOTINITApolloJset terminal apollo; reset; set data style lines; set autoscale; set nokey MacintoshMset terminal macintosh; reset; set data style lines; set autoscale; set nokeyGset terminal x11; reset; set data style lines; set autoscale; set nokeyPLOTINITset size 1,1; set origin 0,0 MULTIPLOTINIT INTERMPLOT MPLOTXSCALE MPLOTYSCALE REALWIDTH REALDECIMALS COMPLEXWIDTHCOMPLEXDECIMALS , READDELIMITERSWRITEDELIMITERPOWELLNEWTON CGRADIENT1 CGRADIENT2SIMPLEX ANNEALING BRENT_ITS,^, ? BRENT_MAGICd弼? LARGE_ZERORADIANSPERDEGREEDEGREESSPERRADIAN SECONDSPERDAYSURFACE_POINTSSYSTEM INPUT_SKIPMIN_SIGNIFICANTTITLE HIGH_DEFAULT LOW_DEFAULT START_DEFAULT TEST_DEFAULT INTEGRATE_NINTEGRATE_METHODil7? INTEGRATE_TOL I_TRAP_OPEN I_TRAP_CLOSED I_SIMPSONI_AQUAD ALT_LOGISTIC EXP_HAZARDD_IDX READSTARTFILEWRITESTARTFILE MLEFILEBASE OUTFILENAME DATAFILENAME PLOTFILENAMEVERBOSE PRINT_REDUCED DEBUG_SYM DEBUG_EXEC DEBUG_ECHO DEBUG_PARSE DEBUG_DATA DEBUG_INT DEBUG_LIKDEBUG PARSE_ONLYFDATAFINPUTFOUTPUTFOUTFILEFPLOT FPLOTDATA LINE_NUMBN_OBS DROPPED_OBS TOTAL_OBSN_VARSSMALLEST_NUMBERMACHINE_EPSILON SQRT_EPSILONINFINITYoo NEGINFINITYLARGEST_LIKELIHOODSMALLEST_LIKELIHOODLARGEST_LLIKELIHOODSMALLEST_LLIKELIHOOD LNINFINITY RANDOMSEED?? ףp= ף?DX_START DX_MAXITS DX_TOOBIG DX_TOOSMALL? SIMPLEX_ALPHA SIMPLEX_BETA SIMPLEX_GAMMACI_LIMIT_DELTA CI_CONVERGE CI_MAXITS LOGLIKELIHOOD FREE_PARAMSDELTA_LL INVERT_FLAG CONVERGE_FLAG ITERATIONSEVALS VCV_EVALSCI_EVALSmd[RF:vOP04261537&qwertyuiopasdfghjklzxcvbnm1234567890-=& !"#$%&,-./012xyz{|}~[CDBA ;H0m    [?17;0;64c[?2c[?1c undef typeCHAR POINTER BOOLEAN INTEGER REAL COMPLEX STRING PROCEDURE FUNCTION FILE Unknown run time sym table parser data funct \&"R    z M   Error (): Line Free object[*Warning: trying to free nil pointer, size $Tried to pop a nil activation record Activate  varsVar  size: Deactivate varsString  made. Variable  is not defined hereCreate  x NIL Const Data Static, Dims:[1..= niluser-defined procedureuser-defined functionFile+i PTR->!-------- BEGIN TABLE ------------Adding symbol  hashv= Tried to free a nil symbol Declaring  (). Symbol exists already (), already exists and cannot be declared againmaking variable  : Pushing a symbol tablePopping a symbol tablePanic...disposing of nil table!%Panic...trying to pop the last table!Wrong type: can't assign  (INTEGER) to (REAL) to  (COMPLEX) to %Wrong type: can't assign BOOLEAN to "Wrong type: can't assign CHAR to 'Wrong type: can't assign a POINTER to !Wrong type: can't assign STRING "" to 'Error trying to copy undefined symbol "" to ""._MLE.RCgnuplotFPCLinux.mlerc A hardware failure occured$Error trying to read an input device*Error trying to write to the output deviceThe printer is out of paper Unknown media Disk sector, seek or crc error ()Disk drive is not readyUnknown deviceDisk is write-protectedreading a bad numberFile not open for writingFile not open for readingFile is not openFile not assignedDisk write errorDisk read error Can't rename files across drivesCan't remove current directoryInvalid drive letterInvalid environmentNot enough memoryInvalid file referenceFile access deniedToo many open filesPath was not foundFile was not foundAn error has occurred (@COMSPECPATHCOLUMNSLINESjanfebmaraprmayjunjulaugsepoctnovdec@ @?uu\T??@@@+ + , , , , + , , + + , , , , , , , , + , + , , , , , , , , , , + + , , , , + , , + + , , , , , , , , + , + @ @@@'@1@;@8%ql@?@B4\@6X@X45m*h7i?Ȉ ) l? l? l? l?HzGa@4? -oo +oo "Attempted division by zero in ROOT@S:@ ףp= ף??@@3333333@ @+Invalid month/year combination in MONTHDAYSX9v@K>@@Bad result in YEARDAY for da@KiMiGiTiPiEiN@z&D@@v:k :@1_0@&@(k@$@@@*!Rpmam@Error (math): Bad  should be > 0 and < 1 but =  should be >=1 but =  should be >= 0 but =  should be > 0 but =  cannot be =0 but is should be >= -1 and =< 1 but =  should be > -1 and < 1 but = "Attempted log of negative number: Bad Logit()Bad arg to: POWER(, FISHER argSTANDARDIZE arg 3ARCCOSH(p) or ARCSECH(1/p) argARCTANH(p) or ARCCOTH(1/p) arg ARCCOTH arg ARCSECH arg ARCCSCH arg ARCSIN arg ARCCOS arg ARCCOT arg ARCSEC arg ARCCSC arg@ (LN)GAMMA arg@@@@-Warning: gamma SDF didn't completely convergeLNFACTORIAL arg nFACTORIAL arg nInteger overflow in FACT@Integer overflow in COMBINATIONInteger overflow in PERMUTEINVBETA df1 (2nd) parameterINVBETA df2 (3rd) parameterINVBETA p (1st) parameterFINV df1 (2nd) parameterFINV df2 (3rd) parameterFINV p (1st) parameter?"Warning: beta CDF did not convergeIBETA@@@iC*ֺ?/OBDœ?M9-?6a!\}Lփ?>8e?ځBV?{LUq?/h>I?KxI~?a@ hvY BESSELI arg n,gC*(@Hz.X[@< Du"@0O7@y@η@u@:u"@L뷤?pCIYU?gL<$Oy)c?N J>'? D5dē?7hN+c?A!l?M8nH2ı.a @K7 oQ*@J.Ɇ#@OG@6X;@Q^Ǎ@a@h.Ɇ$@=w˖@hlp?#}? >-? É2Ŧ?=Rd? BESSELJ arg n*]UQM?q?[/i)?bvy?*4-;?)+w?epgēҠH{?#h٤;8G?57d>^?֝Yh? ul?eS*Cco{<1?yP7cLvC;GF#?qfd?sYzsv:u?mSt7$?D8? BESSELK arg nbPWv@`ףp=J@O%}@LO_@O@aCW@L7Ag@3333r@АK"@J>'T[r @ˡEsTffffY8@"t#v'@S#Z)`s M{@= ףpMM@(\PY@@l%@P޵+@ BESSELY arg n#ARG is undefined for imaginary zero+i-{}5h!@0ܐ?X=6-?@?J? b?u?EmR>?,am#r@P@@h?ǰ}gē?ݍ]@d3?"  /bin/sh-cPATHqu . localtimeTZDIR/usr/share/zoneinfo/ /etc/timezone/usr/lib/zoneinfo/localtime/etc/localtime/bin/sh=...fd/devHOME/.//..//...;./ ansistring:v ߿*?HUUUUUſI?N{!>K~O~D>OlVKUUUUU?0123456789ABCDEF  ` p  P @ P 0  2p  -2147483648?@@@6A_p?\ 5$?>Mľ?ʬ:|?-InfInfNaN 0?(0000000000000000000000000000000000000000-+E %@|@Ӻ@Runtime error  at 0x 0xAssertion failed (, line ).At end of ExceptionAddresStackAt end of ExceptionObjectStackInternal error./proc//exeTRUEFALSE./.....//#{ TOBJECT ansistringFPC 1.0.6-beta [2002/04/30] for i386 - LINUXP M M @ P 0= `P&  /Help is available for the following statements:AASSIGNMENT BEGIN BREAK CONTINUE CURVE DATA EXIT FORCFUNCTION IF MODEL MULTIPLOT PLOT PROCEDURE REPEAT WHILE OUTFILENAMEMLE ENDMODEL.Specifies a model with parameters to maximize: RUN [THEN END]) FULL {all params free}; REDUCE p1=p2 ... {constrain parameter p1 to p2, etc}C REDUCE p3=c ... {constrain parameter p3 to constant c, etc}; WITH p1, p2 ... {includes only p1, p2 ... in model}? WITH p1 (p2, p3) p4 {creates 4 models including variables:}C {p1 p2 p3 p4, p1 p2 p4, p1 p3 p4, p1 p4}+With optional THEN END clause:FRUN THEN END {statements executed for each model}H FULL THEN END {statements executed after this model}' REDUCE p1=c ... THEN ENDDATAJSpecifies how to read fields in the INFILE and does simple transformations v1 FIELD 10 v2 FIELD 4 KEEPIF v2 < 100 DROPIF v2 = 0 ... v3 FIELD 5 = v3 + 0.0001 v4 = v1^2 + v2With optional LINE clauseC v1 FIELD 1 LINE 2 {takes v1 from 2nd line of each observation}IF8The IF statement conditionally executes other statementsIF bexpr1 THEN END1IF bexpr1 THEN ELSE ENDIF bexpr1 THENELSEIF bexpr2 THEN ......ELSEBEGINBEGIN END STATEMENTSREPEAT!REPEAT UNTIL MThe are repeatedly executed until the boolean expression evaluates to TRUEWHILE!WHILE DO ENDBWhile the boolean expression is true, the arerepeatedly exectuedFOR9FOR loops through statements a specified number of times.0FOR = TO DO END: (REAL or INTEGER) incriments from to =FOR = TO STEP DO END9 (REAL or INTEGER) incriments with step size >FOR = TO STEPS DO ENDE (REAL only) incriments from to in steps1FOR = [expr1, expr2, ...] DO END0 (any type) traverses through the expr list PROCEDUREFA procedure performs a specific action, based on a set of zero or more?parameters. E.g. HALT or WRITELN("The answer is", answer, ".")9Type mle -h PROCEDURES for a list of intrinsic proceduresUser defined procedures!PROCEDURE END6PROCEDURE ( : . . .) END:PROCEDURE ( VAR : . . .) END? is the formal name of the argument within the procedure( is a type (INTEGER, REAL, etc.)O VAR passes the variable to the procedure so it can be modified for the caller ASSIGNMENTIAssignment statements define variables and change values of the varaibles$ = {e.g. x = 23 + y^2}@ : {Defines as a specific type e.g. x:BOOLEAN}H : = {forces to a particular type e.g. x:real = 2}M :[c1 TO c2, ...] {defines an array. E.g. x:real[1 TO 4, 1 TO 10]}G :[c1 TO c2, ...] = {defines and initializes an array}FUNCTION,function/expressions that return a value areINCLUDE)Includes other files into the source code*INCLUDE # is a file nameBREAK7BREAK exits the current FOR, REPEAT, or WHILE statementCONTINUEDCONTINUE skips to the next iteration of the the current FOR, REPEAT,or WHILE statementCURVE8CURVE draws a 2d or 3d curve to the plot file (see PLOT):CURVE [KEY | WITH | AXES . . .]B = TO | (, , [])K [ BY = TO | BY (, , ) ]5 [ . . .] [ . . .] where:. is a key title used for this curveO is a gnuplot WITH string (and any options). e.g. WITH "linespoints" Help is available for WITHO is an axis string: "x1y1", "x1y2", "x2y1", "x2y2". e.g. AXIS "X1Y2"O is an INTEGER index variable from to . Alternatively,L is a REAL index variable from to with points The BY clause is for 3d plotsO ... are the plot variables (min of 2 for 2d plots and 3 for 3d plots.M ... are optional string exprs appended to the gnuplot PLOT commandPLOTBPLOT sets up a single 2d or 3d plot for use by the CURVE statement&PLOT [( END< optional (. . .) writes each string to the plot fileH is a block of statements, that usually including 1 or more CURVE...END statementsK Plot file must be opened before PLOT...E