| Chapter 52 TheMCMCProcedure Contents U: a- e6 n9 J2 T; j( I Overview:MCMCProcedure ............................ 3478# ^% {' Q3 A& p; o+ | PROCMCMCComparedwithOtherSASProcedures ............3479 GettingStarted:MCMCProcedure .......................... 34797 H! W& h7 f% { SimpleLinearRegression ...........................34804 F% W3 E) V# g6 _6 W TheBehrens-FisherProblem ..........................34882 v( P9 }8 H! M6 ~, C Mixed-EffectsModel .............................3492 Syntax:MCMCProcedure .............................. 3495 PROCMCMCStatement ...........................3496# D- I+ z; J5 E# t. v ARRAYStatement ...............................3508 BEGINCNST/ENDCNSTStatement .....................35090 L8 `% F' Z3 K* y0 ?5 T BEGINNODATA/ENDNODATAStatements .................3511/ h9 J7 w3 S V BYStatement .................................3511% P5 L0 [+ H6 f7 l4 w) Q% M- T/ A( y MODELStatement ...............................3512 PARMSStatement ...............................3515 PRIOR/HYPERPRIORStatement .......................3516 ProgrammingStatements ...........................35165 ]5 B# ~: N% Z6 p0 t UDSStatement .................................3518 Details:MCMCProcedure .............................. 3522 HowPROCMCMCWorks ..........................35223 N$ o3 Z2 }' \/ J* N! [ BlockingofParameters ............................3523' `, t4 t+ B$ p8 h; Q0 t5 w3 E Samplers ....................................35247 ?) U3 M6 G+ L- N/ R7 I( `* Z TuningtheProposalDistribution .......................35252 W0 L) X2 a# {" K4 T( d R: z InitialValuesoftheMarkovChains ......................35286 _' s0 l* \! c. n; O& Z$ x9 ^ AssignmentsofParameters ..........................35280 u* g- ?* Z0 D2 s StandardDistributions .............................3530) U- O& F3 Z" F) l' X" s SpecifyingaNewDistribution .........................3541 UsingDensityFunctionsintheProgrammingStatements ...........35424 \6 O8 n- d# U1 K: I" p TruncationandCensoring ...........................3544 O& o$ h# }4 c0 K/ |+ _6 }2 B MultivariateDensityFunctions ........................3546 SomeUsefulSASFunctions ..........................3549 MatrixFunctionsinPROCMCMC ......................35515 @1 q# B" f2 i: y ModelingJointLikelihood ...........................3556% d# | g7 v- e; O RegeneratingDiagnosticsPlots ........................3557. u$ g7 ~9 P+ Q3 o* b2 G PosteriorPredictiveDistribution ........................35608 e# F, U# q% |, A HandlingofMissingData ...........................3565 FloatingPointErrorsandOverflows ......................35653 X3 T. u \' ~" P; D/ N4 ^ HandlingErrorMessages ...........................3568) u9 Z7 a" e6 i& d ComputationalResources ...........................3570& s% Y! n% N; u DisplayedOutput ................................3571 ODSTableNames ...............................3575 ODSGraphics .................................35777 O( s, ?" [/ |7 e Examples:MCMCProcedure ............................ 3578 Example52.1:SimulatingSamplesFromaKnownDensity .........3578* G' [' }- c+ y( t! w Example52.2:Box-CoxTransformation ...................35839 M e, w1 O5 }, Q0 o' e% U Example52.3:GeneralizedLinearModels ..................3592& {, q: n" A* M# c2 q n* u% C Example52.4:NonlinearPoissonRegressionModels ............3605 Example52.5:Random-EffectsModels ...................3614' F$ J4 d2 K( s6 N6 E- Q Example52.6:ChangePointModels .....................3630 Example52.7:ExponentialandWeibullSurvivalAnalysis ..........3634 Example52.8:CoxModels ..........................3647* m) X! F- [& u+ D Example52.9:NormalRegressionwithIntervalCensoring .........36648 [5 x# A' E* J) Y; N p! L Example52.10:ConstrainedAnalysis ....................3666+ ?) f9 L# j9 h% i Example52.11:ImplementaNewSamplingAlgorithm ...........36720 y5 v5 d0 I% h) f Example52.12:UsingaTransformationtoImproveMixing .........3683 Example52.13:Gelman-RubinDiagnostics .................3693 References ...................................... 3700. i! t% p/ ^; D0 g |
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