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updated index pages
The index pages were updated with the recently added proofs/definitions.
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‎D/encm.md‎

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author: "Thomas J. Faulkenberry"
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affiliation: "Tarleton State University"
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e_mail: "faulkenberry@tarleton.edu"
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date: 2020-08-26 12:00:00
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date: 2020-09-02 12:00:00
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title: "Encompassing model"
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chapter: "Model Selection"

‎I/Definition_by_Author.md‎

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### JoramSoch (91 definitions)
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### JoramSoch (92 definitions)
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- [Akaike information criterion](/D/aic)
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- [Bayesian information criterion](/D/bic)
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- [Residual-forming matrix](/D/rfmat)
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- [Shannon entropy](/D/ent)
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- [Signal-to-noise ratio](/D/snr)
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- [Standard deviation](/D/std)
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- [Standard gamma distribution](/D/sgam)
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- [Statistical independence](/D/ind)
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- [Total sum of squares](/D/tss)

‎I/Definition_by_Number.md‎

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| D90 | mom | [Moment](/D/mom) | JoramSoch | 2020-08-19 |
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| D91 | fwhm | [Full width at half maximum](/D/fwhm) | JoramSoch | 2020-08-19 |
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| D92 | bf | [Bayes factor](/D/bf) | tomfaulkenberry | 2020-08-26 |
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| D93 | encm | [Encompassing model](/D/encm) | tomfaulkenberry | 2020-08-26 |
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| D93 | encm | [Encompassing model](/D/encm) | tomfaulkenberry | 2020-09-02 |
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| D94 | std | [Standard deviation](/D/std) | JoramSoch | 2020-09-03 |

‎I/Definition_by_Topic.md‎

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- [Shannon entropy](/D/ent)
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- [Signal-to-noise ratio](/D/snr)
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- [Standard deviation](/D/std)
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- [Standard gamma distribution](/D/sgam)
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- [Statistical independence](/D/ind)
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‎I/Proof_by_Author.md‎

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### JoramSoch (155 proofs)
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### JoramSoch (159 proofs)
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- [(Non-)Multiplicativity of the expected value](/P/mean-mult)
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- [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
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- [Conjugate prior distribution for Bayesian linear regression](/P/blr-prior)
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- [Conjugate prior distribution for binomial observations](/P/bin-prior)
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- [Conjugate prior distribution for multinomial observations](/P/mult-prior)
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- [Conjugate prior distribution for multivariate Bayesian linear regression](/P/mblr-prior)
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- [Conjugate prior distribution for the Poisson distribution with exposure values](/P/poissexp-prior)
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- [Construction of confidence intervals using Wilks' theorem](/P/ci-wilks)
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- [Construction of unbiased estimator for variance](/P/resvar-unb)
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- [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
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- [Convexity of the cross-entropy](/P/entcross-conv)
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- [Covariance of independent random variables](/P/cov-ind)
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- [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
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- [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
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- [Cumulative distribution function of the exponential distribution](/P/exp-cdf)
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- [Log model evidence for Bayesian linear regression](/P/blr-lme)
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- [Log model evidence for binomial observations](/P/bin-lme)
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- [Log model evidence for multinomial observations](/P/mult-lme)
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- [Log model evidence for multivariate Bayesian linear regression](/P/mblr-lme)
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- [Log model evidence for the Poisson distribution with exposure values](/P/poissexp-lme)
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- [Log-odds and probability in logistic regression](/P/logreg-lonp)
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- [Logarithmic expectation of the gamma distribution](/P/gam-logmean)
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- [Posterior distribution for Bayesian linear regression](/P/blr-post)
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- [Posterior distribution for binomial observations](/P/bin-post)
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- [Posterior distribution for multinomial observations](/P/mult-post)
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- [Posterior distribution for multivariate Bayesian linear regression](/P/mblr-post)
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- [Posterior distribution for the Poisson distribution with exposure values](/P/poissexp-post)
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- [Posterior model probabilities in terms of Bayes factors](/P/pmp-bf)
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- [Posterior model probabilities in terms of log model evidences](/P/pmp-lme)

‎I/Proof_by_Number.md‎

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| P154 | mgf-ltt | [Linear transformation theorem for the moment-generating function](/P/mgf-ltt) | JoramSoch | 2020-08-19 |
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| P155 | mgf-lincomb | [Moment-generating function of linear combination of independent random variables](/P/mgf-lincomb) | JoramSoch | 2020-08-19 |
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| P156 | bf-sddr | [Savage-Dickey Density Ratio for computing Bayes Factors](/P/bf-sddr) | tomfaulkenberry | 2020-08-26 |
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| P157 | bf-ep | [Encompassing Prior Method for computing Bayes Factors](/P/bf-ep) | tomfaulkenberry | 2020-08-26 |
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| P157 | bf-ep | [Encompassing Prior Method for computing Bayes Factors](/P/bf-ep) | tomfaulkenberry | 2020-09-02 |
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| P158 | cov-ind | [Covariance of independent random variables](/P/cov-ind) | JoramSoch | 2020-09-03 |
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| P159 | mblr-prior | [Conjugate prior distribution for multivariate Bayesian linear regression](/P/mblr-prior) | JoramSoch | 2020-09-03 |
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| P160 | mblr-post | [Posterior distribution for multivariate Bayesian linear regression](/P/mblr-post) | JoramSoch | 2020-09-03 |
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| P161 | mblr-lme | [Log model evidence for multivariate Bayesian linear regression](/P/mblr-lme) | JoramSoch | 2020-09-03 |

‎I/Proof_by_Topic.md‎

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- [Conjugate prior distribution for Bayesian linear regression](/P/blr-prior)
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- [Conjugate prior distribution for binomial observations](/P/bin-prior)
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- [Conjugate prior distribution for multinomial observations](/P/mult-prior)
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- [Conjugate prior distribution for multivariate Bayesian linear regression](/P/mblr-prior)
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- [Conjugate prior distribution for the Poisson distribution with exposure values](/P/poissexp-prior)
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- [Construction of confidence intervals using Wilks' theorem](/P/ci-wilks)
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- [Construction of unbiased estimator for variance](/P/resvar-unb)
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- [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
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- [Convexity of the cross-entropy](/P/entcross-conv)
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- [Covariance of independent random variables](/P/cov-ind)
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- [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
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- [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
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- [Cumulative distribution function of the exponential distribution](/P/exp-cdf)
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- [Log model evidence for Bayesian linear regression](/P/blr-lme)
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- [Log model evidence for binomial observations](/P/bin-lme)
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- [Log model evidence for multinomial observations](/P/mult-lme)
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- [Log model evidence for multivariate Bayesian linear regression](/P/mblr-lme)
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- [Log model evidence for the Poisson distribution with exposure values](/P/poissexp-lme)
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- [Log-odds and probability in logistic regression](/P/logreg-lonp)
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- [Logarithmic expectation of the gamma distribution](/P/gam-logmean)
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- [Posterior distribution for Bayesian linear regression](/P/blr-post)
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- [Posterior distribution for binomial observations](/P/bin-post)
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- [Posterior distribution for multinomial observations](/P/mult-post)
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- [Posterior distribution for multivariate Bayesian linear regression](/P/mblr-post)
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- [Posterior distribution for the Poisson distribution with exposure values](/P/poissexp-post)
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- [Posterior model probabilities in terms of Bayes factors](/P/pmp-bf)
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- [Posterior model probabilities in terms of log model evidences](/P/pmp-lme)

‎I/Proofs_without_Source.md‎

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- [Joint likelihood is the product of likelihood function and prior density](/P/jl-lfnprior)
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- [Linear transformation theorem for the matrix-normal distribution](/P/matn-ltt)
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- [Log model evidence for multinomial observations](/P/mult-lme)
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- [Log model evidence for multivariate Bayesian linear regression](/P/mblr-lme)
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- [Log model evidence for the Poisson distribution with exposure values](/P/poissexp-lme)
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- [Marginal distributions of the multivariate normal distribution](/P/mvn-marg)
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- [Marginal distributions of the normal-gamma distribution](/P/ng-marg)

‎I/Table_of_Contents.md‎

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**[Proofs](/P/-temp-)** are printed in **bold** – *[Definitions](/D/-temp-)* are set in *italics* <br>
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Proofs by **[Number](/I/Proof_by_Number)** and **[Topic](/I/Proof_by_Topic)** – Definitions by *[Number](/I/Definition_by_Number)* and *[Topic](/I/Definition_by_Topic)* <br>
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**Proofs**: [by Number](/I/Proof_by_Number), [by Topic](/I/Proof_by_Topic) – *Definitions*: [by Number](/I/Definition_by_Number), [by Topic](/I/Definition_by_Topic) <br>
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<u>Specials:</u> [Probability Distributions](/S/Probability_Distributions), [Statistical Models](/S/Statistical_Models), [Model Selection Criteria](/S/Model_Selection) <br>
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1.10. Further moments <br>
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&emsp;&ensp; 1.10.1. *[Moment](/D/mom)* <br>
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&emsp;&ensp; 1.10.2. **[Moment in terms of moment-generating function](/P/mom-mgf)** <br>
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2. Information theory
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‎P/bf-ep.md‎

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author: "Thomas J. Faulkenberry"
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affiliation: "Tarleton State University"
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e_mail: "faulkenberry@tarleton.edu"
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date: 2020-08-26 12:00:00
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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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chapter: "Model Selection"

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