@@ -737,46 +737,40 @@ title: "Table of Contents"
737737 3.1. Model evidence <br >
738738 &emsp ;&ensp ; 3.1.1. * [ Definition] ( /D/me ) * <br >
739739 &emsp ;&ensp ; 3.1.2. ** [ Derivation] ( /P/me-der ) ** <br >
740-
741- 3.2. Log model evidence <br >
742- &emsp ;&ensp ; 3.2.1. * [ Definition] ( /D/lme ) * <br >
743- &emsp ;&ensp ; 3.2.2. ** [ Derivation] ( /P/lme-der ) ** <br >
744- &emsp ;&ensp ; 3.2.3. ** [ Expression using prior and posterior] ( /P/lme-pnp ) ** <br >
745- &emsp ;&ensp ; 3.2.4. ** [ Partition into accuracy and complexity] ( /P/lme-anc ) ** <br >
746- &emsp ;&ensp ; 3.2.5. * [ Uniform-prior log model evidence] ( /D/uplme ) * <br >
747- &emsp ;&ensp ; 3.2.6. * [ Cross-validated log model evidence] ( /D/cvlme ) * <br >
748- &emsp ;&ensp ; 3.2.7. * [ Empirical Bayesian log model evidence] ( /D/eblme ) * <br >
749- &emsp ;&ensp ; 3.2.8. * [ Variational Bayesian log model evidence] ( /D/vblme ) * <br >
750-
751- 3.3. Family evidence <br >
752- &emsp ;&ensp ; 3.3.1. * [ Definition] ( /D/fe ) * <br >
753- &emsp ;&ensp ; 3.3.2. ** [ Derivation] ( /P/fe-der ) ** <br >
754-
755- 3.4. Log family evidence <br >
756- &emsp ;&ensp ; 3.4.1. * [ Definition] ( /D/lfe ) * <br >
757- &emsp ;&ensp ; 3.4.2. ** [ Derivation] ( /P/lfe-der ) ** <br >
758- &emsp ;&ensp ; 3.4.3. ** [ Calculation from log model evidences] ( /P/lfe-lme ) ** <br >
759-
760- 3.5. Bayes factor <br >
761- &emsp ;&ensp ; 3.5.1. * [ Definition] ( /D/bf ) * <br >
762- &emsp ;&ensp ; 3.5.2. ** [ Transitivity] ( /P/bf-trans ) ** <br >
763- &emsp ;&ensp ; 3.5.3. ** [ Computation using Savage-Dickey Density Ratio] ( /P/bf-sddr ) ** <br >
764- &emsp ;&ensp ; 3.5.4. ** [ Computation using Encompassing Prior Method] ( /P/bf-ep ) ** <br >
765- &emsp ;&ensp ; 3.5.5. * [ Encompassing model] ( /D/encm ) * <br >
766-
767- 3.6. Log Bayes factor <br >
768- &emsp ;&ensp ; 3.6.1. * [ Definition] ( /D/lbf ) * <br >
769- &emsp ;&ensp ; 3.6.2. ** [ Derivation] ( /P/lbf-der ) ** <br >
770- &emsp ;&ensp ; 3.6.3. ** [ Calculation from log model evidences] ( /P/lbf-lme ) ** <br >
771-
772- 3.7. Posterior model probability <br >
773- &emsp ;&ensp ; 3.7.1. * [ Definition] ( /D/pmp ) * <br >
774- &emsp ;&ensp ; 3.7.2. ** [ Derivation] ( /P/pmp-der ) ** <br >
775- &emsp ;&ensp ; 3.7.3. ** [ Calculation from Bayes factors] ( /P/pmp-bf ) ** <br >
776- &emsp ;&ensp ; 3.7.4. ** [ Calculation from log Bayes factor] ( /P/pmp-lbf ) ** <br >
777- &emsp ;&ensp ; 3.7.5. ** [ Calculation from log model evidences] ( /P/pmp-lme ) ** <br >
778-
779- 3.8. Bayesian model averaging <br >
780- &emsp ;&ensp ; 3.8.1. * [ Definition] ( /D/bma ) * <br >
781- &emsp ;&ensp ; 3.8.2. ** [ Derivation] ( /P/bma-der ) ** <br >
782- &emsp ;&ensp ; 3.8.3. ** [ Calculation from log model evidences] ( /P/bma-lme ) ** <br >
740+ &emsp ;&ensp ; 3.1.3. * [ Log model evidence] ( /D/lme ) * <br >
741+ &emsp ;&ensp ; 3.1.4. ** [ Derivation of the LME] ( /P/lme-der ) ** <br >
742+ &emsp ;&ensp ; 3.1.5. ** [ Expression using prior and posterior] ( /P/lme-pnp ) ** <br >
743+ &emsp ;&ensp ; 3.1.6. ** [ Partition into accuracy and complexity] ( /P/lme-anc ) ** <br >
744+ &emsp ;&ensp ; 3.1.7. * [ Uniform-prior log model evidence] ( /D/uplme ) * <br >
745+ &emsp ;&ensp ; 3.1.8. * [ Cross-validated log model evidence] ( /D/cvlme ) * <br >
746+ &emsp ;&ensp ; 3.1.9. * [ Empirical Bayesian log model evidence] ( /D/eblme ) * <br >
747+ &emsp ;&ensp ; 3.1.10. * [ Variational Bayesian log model evidence] ( /D/vblme ) * <br >
748+
749+ 3.2. Family evidence <br >
750+ &emsp ;&ensp ; 3.2.1. * [ Definition] ( /D/fe ) * <br >
751+ &emsp ;&ensp ; 3.2.2. ** [ Derivation] ( /P/fe-der ) ** <br >
752+ &emsp ;&ensp ; 3.2.3. * [ Log family evidence] ( /D/lfe ) * <br >
753+ &emsp ;&ensp ; 3.2.4. ** [ Derivation of the LFE] ( /P/lfe-der ) ** <br >
754+ &emsp ;&ensp ; 3.2.5. ** [ Calculation from log model evidences] ( /P/lfe-lme ) ** <br >
755+
756+ 3.3. Bayes factor <br >
757+ &emsp ;&ensp ; 3.3.1. * [ Definition] ( /D/bf ) * <br >
758+ &emsp ;&ensp ; 3.3.2. ** [ Transitivity] ( /P/bf-trans ) ** <br >
759+ &emsp ;&ensp ; 3.3.3. ** [ Computation using Savage-Dickey density ratio] ( /P/bf-sddr ) ** <br >
760+ &emsp ;&ensp ; 3.3.4. ** [ Computation using encompassing prior method] ( /P/bf-ep ) ** <br >
761+ &emsp ;&ensp ; 3.3.5. * [ Encompassing model] ( /D/encm ) * <br >
762+ &emsp ;&ensp ; 3.3.6. * [ Log Bayes factor] ( /D/lbf ) * <br >
763+ &emsp ;&ensp ; 3.3.7. ** [ Derivation of the LBF] ( /P/lbf-der ) ** <br >
764+ &emsp ;&ensp ; 3.3.8. ** [ Calculation from log model evidences] ( /P/lbf-lme ) ** <br >
765+
766+ 3.4. Posterior model probability <br >
767+ &emsp ;&ensp ; 3.4.1. * [ Definition] ( /D/pmp ) * <br >
768+ &emsp ;&ensp ; 3.4.2. ** [ Derivation] ( /P/pmp-der ) ** <br >
769+ &emsp ;&ensp ; 3.4.3. ** [ Calculation from Bayes factors] ( /P/pmp-bf ) ** <br >
770+ &emsp ;&ensp ; 3.4.4. ** [ Calculation from log Bayes factor] ( /P/pmp-lbf ) ** <br >
771+ &emsp ;&ensp ; 3.4.5. ** [ Calculation from log model evidences] ( /P/pmp-lme ) ** <br >
772+
773+ 3.5. Bayesian model averaging <br >
774+ &emsp ;&ensp ; 3.5.1. * [ Definition] ( /D/bma ) * <br >
775+ &emsp ;&ensp ; 3.5.2. ** [ Derivation] ( /P/bma-der ) ** <br >
776+ &emsp ;&ensp ; 3.5.3. ** [ Calculation from log model evidences] ( /P/bma-lme ) ** <br >
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