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rearrange table of contents
Section 3 of Chapter IV was completely reorganized.
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D/cvlme.md

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title: "Cross-validated log model evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log model evidence"
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topic: "Model evidence"
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definition: "Cross-validated log model evidence"
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D/eblme.md

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title: "Empirical Bayesian log model evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log model evidence"
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topic: "Model evidence"
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definition: "Empirical Bayesian log model evidence"
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D/lbf.md

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title: "Log Bayes factor"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log Bayes factor"
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definition: "Definition"
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topic: "Bayes factor"
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definition: "Log Bayes factor"
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- authors: "Soch J, Allefeld C"

D/lfe.md

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title: "Log family evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log family evidence"
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definition: "Definition"
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topic: "Family evidence"
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definition: "Log family evidence"
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- authors: "Soch J, Allefeld C"

D/lme.md

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title: "Log model evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log model evidence"
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definition: "Definition"
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topic: "Model evidence"
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definition: "Log model evidence"
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- authors: "Soch J, Allefeld C"

D/uplme.md

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title: "Uniform-prior log model evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log model evidence"
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topic: "Model evidence"
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definition: "Uniform-prior log model evidence"
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D/vblme.md

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title: "Variational Bayesian log model evidence"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Log model evidence"
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topic: "Model evidence"
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definition: "Variational Bayesian log model evidence"
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I/ToC.md

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3.1. Model evidence <br>
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&emsp;&ensp; 3.1.1. *[Definition](/D/me)* <br>
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&emsp;&ensp; 3.1.2. **[Derivation](/P/me-der)** <br>
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3.2. Log model evidence <br>
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&emsp;&ensp; 3.2.1. *[Definition](/D/lme)* <br>
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&emsp;&ensp; 3.2.2. **[Derivation](/P/lme-der)** <br>
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&emsp;&ensp; 3.2.3. **[Expression using prior and posterior](/P/lme-pnp)** <br>
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&emsp;&ensp; 3.2.4. **[Partition into accuracy and complexity](/P/lme-anc)** <br>
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&emsp;&ensp; 3.2.5. *[Uniform-prior log model evidence](/D/uplme)* <br>
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&emsp;&ensp; 3.2.6. *[Cross-validated log model evidence](/D/cvlme)* <br>
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&emsp;&ensp; 3.2.7. *[Empirical Bayesian log model evidence](/D/eblme)* <br>
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&emsp;&ensp; 3.2.8. *[Variational Bayesian log model evidence](/D/vblme)* <br>
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3.3. Family evidence <br>
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&emsp;&ensp; 3.3.1. *[Definition](/D/fe)* <br>
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&emsp;&ensp; 3.3.2. **[Derivation](/P/fe-der)** <br>
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3.4. Log family evidence <br>
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&emsp;&ensp; 3.4.1. *[Definition](/D/lfe)* <br>
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&emsp;&ensp; 3.4.2. **[Derivation](/P/lfe-der)** <br>
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&emsp;&ensp; 3.4.3. **[Calculation from log model evidences](/P/lfe-lme)** <br>
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3.5. Bayes factor <br>
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&emsp;&ensp; 3.5.1. *[Definition](/D/bf)* <br>
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&emsp;&ensp; 3.5.2. **[Transitivity](/P/bf-trans)** <br>
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&emsp;&ensp; 3.5.3. **[Computation using Savage-Dickey Density Ratio](/P/bf-sddr)** <br>
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&emsp;&ensp; 3.5.4. **[Computation using Encompassing Prior Method](/P/bf-ep)** <br>
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&emsp;&ensp; 3.5.5. *[Encompassing model](/D/encm)* <br>
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3.6. Log Bayes factor <br>
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&emsp;&ensp; 3.6.1. *[Definition](/D/lbf)* <br>
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&emsp;&ensp; 3.6.2. **[Derivation](/P/lbf-der)** <br>
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&emsp;&ensp; 3.6.3. **[Calculation from log model evidences](/P/lbf-lme)** <br>
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3.7. Posterior model probability <br>
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&emsp;&ensp; 3.7.1. *[Definition](/D/pmp)* <br>
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&emsp;&ensp; 3.7.2. **[Derivation](/P/pmp-der)** <br>
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&emsp;&ensp; 3.7.3. **[Calculation from Bayes factors](/P/pmp-bf)** <br>
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&emsp;&ensp; 3.7.4. **[Calculation from log Bayes factor](/P/pmp-lbf)** <br>
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&emsp;&ensp; 3.7.5. **[Calculation from log model evidences](/P/pmp-lme)** <br>
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3.8. Bayesian model averaging <br>
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&emsp;&ensp; 3.8.1. *[Definition](/D/bma)* <br>
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&emsp;&ensp; 3.8.2. **[Derivation](/P/bma-der)** <br>
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&emsp;&ensp; 3.8.3. **[Calculation from log model evidences](/P/bma-lme)** <br>
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&emsp;&ensp; 3.1.3. *[Log model evidence](/D/lme)* <br>
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&emsp;&ensp; 3.1.4. **[Derivation of the LME](/P/lme-der)** <br>
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&emsp;&ensp; 3.1.5. **[Expression using prior and posterior](/P/lme-pnp)** <br>
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&emsp;&ensp; 3.1.6. **[Partition into accuracy and complexity](/P/lme-anc)** <br>
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&emsp;&ensp; 3.1.7. *[Uniform-prior log model evidence](/D/uplme)* <br>
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&emsp;&ensp; 3.1.8. *[Cross-validated log model evidence](/D/cvlme)* <br>
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&emsp;&ensp; 3.1.9. *[Empirical Bayesian log model evidence](/D/eblme)* <br>
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&emsp;&ensp; 3.1.10. *[Variational Bayesian log model evidence](/D/vblme)* <br>
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3.2. Family evidence <br>
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&emsp;&ensp; 3.2.1. *[Definition](/D/fe)* <br>
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&emsp;&ensp; 3.2.2. **[Derivation](/P/fe-der)** <br>
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&emsp;&ensp; 3.2.3. *[Log family evidence](/D/lfe)* <br>
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&emsp;&ensp; 3.2.4. **[Derivation of the LFE](/P/lfe-der)** <br>
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&emsp;&ensp; 3.2.5. **[Calculation from log model evidences](/P/lfe-lme)** <br>
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3.3. Bayes factor <br>
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&emsp;&ensp; 3.3.1. *[Definition](/D/bf)* <br>
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&emsp;&ensp; 3.3.2. **[Transitivity](/P/bf-trans)** <br>
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&emsp;&ensp; 3.3.3. **[Computation using Savage-Dickey density ratio](/P/bf-sddr)** <br>
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&emsp;&ensp; 3.3.4. **[Computation using encompassing prior method](/P/bf-ep)** <br>
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&emsp;&ensp; 3.3.5. *[Encompassing model](/D/encm)* <br>
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&emsp;&ensp; 3.3.6. *[Log Bayes factor](/D/lbf)* <br>
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&emsp;&ensp; 3.3.7. **[Derivation of the LBF](/P/lbf-der)** <br>
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&emsp;&ensp; 3.3.8. **[Calculation from log model evidences](/P/lbf-lme)** <br>
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3.4. Posterior model probability <br>
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&emsp;&ensp; 3.4.1. *[Definition](/D/pmp)* <br>
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&emsp;&ensp; 3.4.2. **[Derivation](/P/pmp-der)** <br>
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&emsp;&ensp; 3.4.3. **[Calculation from Bayes factors](/P/pmp-bf)** <br>
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&emsp;&ensp; 3.4.4. **[Calculation from log Bayes factor](/P/pmp-lbf)** <br>
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&emsp;&ensp; 3.4.5. **[Calculation from log model evidences](/P/pmp-lme)** <br>
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3.5. Bayesian model averaging <br>
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&emsp;&ensp; 3.5.1. *[Definition](/D/bma)* <br>
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&emsp;&ensp; 3.5.2. **[Derivation](/P/bma-der)** <br>
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&emsp;&ensp; 3.5.3. **[Calculation from log model evidences](/P/bma-lme)** <br>

P/bf-ep.md

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e_mail: "faulkenberry@tarleton.edu"
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date: 2020-09-02 12:00:00
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title: "Encompassing Prior Method for computing Bayes Factors"
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title: "Encompassing prior method for computing Bayes factors"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Bayes factor"
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theorem: "Computation using Encompassing Prior Method"
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theorem: "Computation using encompassing prior method"
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- authors: "Klugkist, I., Kato, B., and Hoijtink, H."

P/bf-sddr.md

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e_mail: "faulkenberry@tarleton.edu"
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title: "Savage-Dickey Density Ratio for computing Bayes Factors"
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title: "Savage-Dickey density ratio for computing Bayes factors"
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chapter: "Model Selection"
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section: "Bayesian model selection"
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topic: "Bayes factor"
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theorem: "Computation using Savage-Dickey Density Ratio"
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theorem: "Computation using Savage-Dickey density ratio"
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sources:
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- authors: "Faulkenberry, Thomas J."

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