updated index pages

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

Author: JoramSoch

I/PbA.md

@@ -8,7 +8,7 @@ title: "Proof by Author"
 
 - [Covariance matrix of the multinomial distribution](/P/mult-cov)
 
-### JoramSoch (326 proofs)
+### JoramSoch (331 proofs)
 
 - [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
 - [Accuracy and complexity for the univariate Gaussian with known variance](/P/ugkv-anc)
@@ -44,6 +44,7 @@ title: "Proof by Author"
 - [Corrected Akaike information criterion in terms of maximum log-likelihood](/P/aicc-mll)
 - [Correlation always falls between -1 and +1](/P/corr-range)
 - [Correlation coefficient in terms of standard scores](/P/corr-z)
+- [Covariance and variance of the normal-gamma distribution](/P/ng-cov)
 - [Covariance matrices of the matrix-normal distribution](/P/matn-cov)
 - [Covariance matrix of the categorical distribution](/P/cat-cov)
 - [Covariance matrix of the multivariate normal distribution](/P/mvn-cov)
@@ -71,6 +72,7 @@ title: "Proof by Author"
 - [Deviance for multiple linear regression](/P/mlr-dev)
 - [Deviance information criterion for multiple linear regression](/P/blr-dic)
 - [Differential entropy can be negative](/P/dent-neg)
+- [Differential entropy for the matrix-normal distribution](/P/matn-dent)
 - [Differential entropy of the gamma distribution](/P/gam-dent)
 - [Differential entropy of the multivariate normal distribution](/P/mvn-dent)
 - [Differential entropy of the normal distribution](/P/norm-dent)
@@ -105,6 +107,7 @@ title: "Proof by Author"
 - [Gaussian integral](/P/norm-gi)
 - [Gibbs' inequality](/P/gibbs-ineq)
 - [Inflection points of the probability density function of the normal distribution](/P/norm-infl)
+- [Invariance of the covariance matrix under addition of constant vector](/P/covmat-inv)
 - [Invariance of the differential entropy under addition of a constant](/P/dent-inv)
 - [Invariance of the Kullback-Leibler divergence under parameter transformation](/P/kl-inv)
 - [Invariance of the variance under addition of a constant](/P/var-inv)
@@ -307,6 +310,8 @@ title: "Proof by Author"
 - [Relationship between second raw moment, variance and mean](/P/momraw-2nd)
 - [Relationship between signal-to-noise ratio and R²](/P/snr-rsq)
 - [Sampling from the matrix-normal distribution](/P/matn-samp)
+- [Sampling from the normal-gamma distribution](/P/ng-samp)
+- [Scaling of the covariance matrix upon multiplication with constant matrix](/P/covmat-scal)
 - [Scaling of the variance upon multiplication with a constant](/P/var-scal)
 - [Second central moment is variance](/P/momcent-2nd)
 - [Simple linear regression is a special case of multiple linear regression](/P/slr-mlr)

I/PbN.md

@@ -349,3 +349,8 @@ title: "Proof by Number"
 | P341 | matn-mean | [Mean of the matrix-normal distribution](/P/matn-mean) | JoramSoch | 2022-09-15 |
 | P342 | matn-cov | [Covariance matrices of the matrix-normal distribution](/P/matn-cov) | JoramSoch | 2022-09-15 |
 | P343 | matn-marg | [Marginal distributions for the matrix-normal distribution](/P/matn-marg) | JoramSoch | 2022-09-15 |
+| P344 | matn-dent | [Differential entropy for the matrix-normal distribution](/P/matn-dent) | JoramSoch | 2022-09-22 |
+| P345 | ng-cov | [Covariance and variance of the normal-gamma distribution](/P/ng-cov) | JoramSoch | 2022-09-22 |
+| P346 | ng-samp | [Sampling from the normal-gamma distribution](/P/ng-samp) | JoramSoch | 2022-09-22 |
+| P347 | covmat-inv | [Invariance of the covariance matrix under addition of constant vector](/P/covmat-inv) | JoramSoch | 2022-09-22 |
+| P348 | covmat-scal | [Scaling of the covariance matrix upon multiplication with constant matrix](/P/covmat-scal) | JoramSoch | 2022-09-22 |

I/PbT.md

@@ -47,6 +47,7 @@ title: "Proof by Topic"
 - [Corrected Akaike information criterion in terms of maximum log-likelihood](/P/aicc-mll)
 - [Correlation always falls between -1 and +1](/P/corr-range)
 - [Correlation coefficient in terms of standard scores](/P/corr-z)
+- [Covariance and variance of the normal-gamma distribution](/P/ng-cov)
 - [Covariance matrices of the matrix-normal distribution](/P/matn-cov)
 - [Covariance matrix of the categorical distribution](/P/cat-cov)
 - [Covariance matrix of the multinomial distribution](/P/mult-cov)
@@ -79,6 +80,7 @@ title: "Proof by Topic"
 - [Deviance for multiple linear regression](/P/mlr-dev)
 - [Deviance information criterion for multiple linear regression](/P/blr-dic)
 - [Differential entropy can be negative](/P/dent-neg)
+- [Differential entropy for the matrix-normal distribution](/P/matn-dent)
 - [Differential entropy of the gamma distribution](/P/gam-dent)
 - [Differential entropy of the multivariate normal distribution](/P/mvn-dent)
 - [Differential entropy of the normal distribution](/P/norm-dent)
@@ -126,6 +128,7 @@ title: "Proof by Topic"
 ### I
 
 - [Inflection points of the probability density function of the normal distribution](/P/norm-infl)
+- [Invariance of the covariance matrix under addition of constant vector](/P/covmat-inv)
 - [Invariance of the differential entropy under addition of a constant](/P/dent-inv)
 - [Invariance of the Kullback-Leibler divergence under parameter transformation](/P/kl-inv)
 - [Invariance of the variance under addition of a constant](/P/var-inv)
@@ -368,7 +371,9 @@ title: "Proof by Topic"
 ### S
 
 - [Sampling from the matrix-normal distribution](/P/matn-samp)
+- [Sampling from the normal-gamma distribution](/P/ng-samp)
 - [Savage-Dickey Density Ratio for computing Bayes Factors](/P/bf-sddr)
+- [Scaling of the covariance matrix upon multiplication with constant matrix](/P/covmat-scal)
 - [Scaling of the variance upon multiplication with a constant](/P/var-scal)
 - [Second central moment is variance](/P/momcent-2nd)
 - [Simple linear regression is a special case of multiple linear regression](/P/slr-mlr)

I/PwS.md

@@ -9,6 +9,7 @@ title: "Proofs without Source"
 - [Bayesian information criterion for multiple linear regression](/P/mlr-bic)
 - [Chi-squared distribution is a special case of gamma distribution](/P/chi2-gam)
 - [Conditional distributions of the normal-gamma distribution](/P/ng-cond)
+- [Covariance and variance of the normal-gamma distribution](/P/ng-cov)
 - [Covariance matrix of the categorical distribution](/P/cat-cov)
 - [Cross-validated log Bayes factor for the univariate Gaussian with known variance](/P/ugkv-cvlbf)
 - [Cross-validated log model evidence for the univariate Gaussian with known variance](/P/ugkv-cvlme)
@@ -24,6 +25,7 @@ title: "Proofs without Source"
 - [Derivation of the posterior model probability](/P/pmp-der)
 - [Deviance for multiple linear regression](/P/mlr-dev)
 - [Deviance information criterion for multiple linear regression](/P/blr-dic)
+- [Differential entropy for the matrix-normal distribution](/P/matn-dent)
 - [Differential entropy of the normal-gamma distribution](/P/ng-dent)
 - [Effects of mean-centering on parameter estimates for simple linear regression](/P/slr-meancent)
 - [Entropy of the binomial distribution](/P/bin-ent)