updated index pages

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

Author: JoramSoch

I/DbA.md

@@ -4,7 +4,7 @@ title: "Definition by Author"
 ---
 
 
-### JoramSoch (162 definitions)
+### JoramSoch (164 definitions)
 
 - [Akaike information criterion](/D/aic)
 - [Alternative hypothesis](/D/h1)
@@ -135,6 +135,8 @@ title: "Definition by Author"
 - [Residual sum of squares](/D/rss)
 - [Residual variance](/D/resvar)
 - [Residual-forming matrix](/D/rfmat)
+- [Sample correlation coefficient](/D/corr-samp)
+- [Sample correlation matrix](/D/corrmat-samp)
 - [Sample covariance matrix](/D/covmat-samp)
 - [Sample mean](/D/mean-samp)
 - [Sample space](/D/samp-spc)

I/DbN.md

@@ -174,3 +174,5 @@ title: "Definition by Number"
 | D165 | samp-spc | [Sample space](/D/samp-spc) | JoramSoch | 2021-11-26 |
 | D166 | eve-spc | [Event space](/D/eve-spc) | JoramSoch | 2021-11-26 |
 | D167 | prob-spc | [Probability space](/D/prob-spc) | JoramSoch | 2021-11-26 |
+| D168 | corr-samp | [Sample correlation coefficient](/D/corr-samp) | JoramSoch | 2021-12-14 |
+| D169 | corrmat-samp | [Sample correlation matrix](/D/corrmat-samp) | JoramSoch | 2021-12-14 |

I/DbT.md

@@ -191,6 +191,8 @@ title: "Definition by Topic"
 
 ### S
 
+- [Sample correlation coefficient](/D/corr-samp)
+- [Sample correlation matrix](/D/corrmat-samp)
 - [Sample covariance](/D/cov-samp)
 - [Sample covariance matrix](/D/covmat-samp)
 - [Sample mean](/D/mean-samp)

I/DwS.md

@@ -22,3 +22,4 @@ title: "Definitions without Source"
 - [Posterior distribution](/D/post)
 - [Prior distribution](/D/prior)
 - [Residual variance](/D/resvar)
+- [Sample correlation matrix](/D/corrmat-samp)

I/PbA.md

@@ -4,7 +4,7 @@ title: "Proof by Author"
 ---
 
 
-### JoramSoch (288 proofs)
+### JoramSoch (290 proofs)
 
 - [(Non-)Multiplicativity of the expected value](/P/mean-mult)
 - [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
@@ -34,6 +34,8 @@ title: "Proof by Author"
 - [Construction of unbiased estimator for variance](/P/resvar-unb)
 - [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
 - [Convexity of the cross-entropy](/P/entcross-conv)
+- [Correlation always falls between -1 and +1](/P/corr-range)
+- [Correlation coefficient in terms of standard scores](/P/corr-z)
 - [Covariance of independent random variables](/P/cov-ind)
 - [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)

I/PbN.md

@@ -304,3 +304,5 @@ title: "Proof by Number"
 | P296 | matn-kl | [Kullback-Leibler divergence for the matrix-normal distribution](/P/matn-kl) | JoramSoch | 2021-12-02 |
 | P297 | matn-samp | [Sampling from the matrix-normal distribution](/P/matn-samp) | JoramSoch | 2021-12-07 |
 | P298 | mean-tr | [Expected value of the trace of a matrix](/P/mean-tr) | JoramSoch | 2021-12-07 |
+| P299 | corr-z | [Correlation coefficient in terms of standard scores](/P/corr-z) | JoramSoch | 2021-12-14 |
+| P300 | corr-range | [Correlation always falls between -1 and +1](/P/corr-range) | JoramSoch | 2021-12-14 |

I/PbT.md

@@ -40,6 +40,8 @@ title: "Proof by Topic"
 - [Construction of unbiased estimator for variance](/P/resvar-unb)
 - [Convexity of the cross-entropy](/P/entcross-conv)
 - [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
+- [Correlation always falls between -1 and +1](/P/corr-range)
+- [Correlation coefficient in terms of standard scores](/P/corr-z)
 - [Covariance of independent random variables](/P/cov-ind)
 - [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)