updated index pages

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

Author: JoramSoch

I/Definition_by_Author.md

@@ -4,7 +4,7 @@ title: "Definition by Author"
 ---
 
 
-### JoramSoch (96 definitions)
+### JoramSoch (98 definitions)
 
 - [Akaike information criterion](/D/aic)
 - [Bayesian information criterion](/D/bic)
@@ -62,6 +62,8 @@ title: "Definition by Author"
 - [Matrix-normal distribution](/D/matn)
 - [Maximum likelihood estimation](/D/mle)
 - [Maximum log-likelihood](/D/mll)
+- [Median](/D/med)
+- [Mode](/D/mode)
 - [Moment](/D/mom)
 - [Moment-generating function](/D/mgf)
 - [Multinomial distribution](/D/mult)

I/Definition_by_Number.md

@@ -107,3 +107,5 @@ title: "Definition by Number"
 | D98 | mom-cent | [Central moment](/D/mom-cent) | JoramSoch | 2020-10-08 |
 | D99 | mom-stand | [Standardized moment](/D/mom-stand) | JoramSoch | 2020-10-08 |
 | D100 | chi2 | [Chi-square distribution](/D/chi2) | kjpetrykowski | 2020-10-13 |
+| D101 | med | [Median](/D/med) | JoramSoch | 2020-10-15 |
+| D102 | mode | [Mode](/D/mode) | JoramSoch | 2020-10-15 |

I/Definition_by_Topic.md

@@ -96,6 +96,8 @@ title: "Definition by Topic"
 - [Matrix-normal distribution](/D/matn)
 - [Maximum likelihood estimation](/D/mle)
 - [Maximum log-likelihood](/D/mll)
+- [Median](/D/med)
+- [Mode](/D/mode)
 - [Moment](/D/mom)
 - [Moment-generating function](/D/mgf)
 - [Multinomial distribution](/D/mult)

I/Proof_by_Author.md

@@ -4,7 +4,7 @@ title: "Proof by Author"
 ---
 
 
-### JoramSoch (166 proofs)
+### JoramSoch (170 proofs)
 
 - [(Non-)Multiplicativity of the expected value](/P/mean-mult)
 - [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
@@ -28,6 +28,7 @@ title: "Proof by Author"
 - [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
 - [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
 - [Cumulative distribution function of the exponential distribution](/P/exp-cdf)
+- [Cumulative distribution function of the gamma distribution](/P/gam-cdf)
 - [Cumulative distribution function of the normal distribution](/P/norm-cdf)
 - [Derivation of Bayesian model averaging](/P/bma-der)
 - [Derivation of R² and adjusted R²](/P/rsq-der)
@@ -42,6 +43,7 @@ title: "Proof by Author"
 - [Equivalence of matrix-normal distribution and multivariate normal distribution](/P/matn-mvn)
 - [Expectation of a quadratic form](/P/mean-qf)
 - [Expected value of a non-negative random variable](/P/mean-nnrvar)
+- [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx)
 - [Exponential distribution is a special case of gamma distribution](/P/exp-gam)
 - [Expression of the cumulative distribution function of the normal distribution without the error function](/P/norm-cdfwerf)
 - [First central moment is zero](/P/momcent-1st)
@@ -144,7 +146,9 @@ title: "Proof by Author"
 - [Quantile function of the exponential distribution](/P/exp-qf)
 - [Quantile function of the normal distribution](/P/norm-qf)
 - [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam)
+- [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam2)
 - [Relation between normal distribution and standard normal distribution](/P/norm-snorm)
+- [Relation between normal distribution and standard normal distribution](/P/norm-snorm2)
 - [Relation of Kullback-Leibler divergence to entropy](/P/kl-ent)
 - [Relation of continuous Kullback-Leibler divergence to differential entropy](/P/kl-dent)
 - [Relation of continuous mutual information to joint and conditional differential entropy](/P/cmi-jcde)

I/Proof_by_Number.md

@@ -182,3 +182,7 @@ title: "Proof by Number"
 | P173 | momcent-2nd | [Second central moment is variance](/P/momcent-2nd) | JoramSoch | 2020-10-08 |
 | P174 | chi2-gam | [Chi-square distribution is a special case of gamma distribution](/P/chi2-gam) | kjpetrykowski | 2020-10-12 |
 | P175 | chi2-mom | [Moments of the chi-square distribution](/P/chi2-mom) | kjpetrykowski | 2020-10-13 |
+| P176 | norm-snorm2 | [Relation between normal distribution and standard normal distribution](/P/norm-snorm2) | JoramSoch | 2020-10-15 |
+| P177 | gam-sgam2 | [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam2) | JoramSoch | 2020-10-15 |
+| P178 | gam-cdf | [Cumulative distribution function of the gamma distribution](/P/gam-cdf) | JoramSoch | 2020-10-15 |
+| P179 | gam-xlogx | [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx) | JoramSoch | 2020-10-15 |

I/Proof_by_Topic.md

@@ -38,6 +38,7 @@ title: "Proof by Topic"
 - [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
 - [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
 - [Cumulative distribution function of the exponential distribution](/P/exp-cdf)
+- [Cumulative distribution function of the gamma distribution](/P/gam-cdf)
 - [Cumulative distribution function of the normal distribution](/P/norm-cdf)
 
 ### D
@@ -59,6 +60,7 @@ title: "Proof by Topic"
 - [Equivalence of matrix-normal distribution and multivariate normal distribution](/P/matn-mvn)
 - [Expectation of a quadratic form](/P/mean-qf)
 - [Expected value of a non-negative random variable](/P/mean-nnrvar)
+- [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx)
 - [Exponential distribution is a special case of gamma distribution](/P/exp-gam)
 - [Expression of the cumulative distribution function of the normal distribution without the error function](/P/norm-cdfwerf)
 
@@ -202,7 +204,9 @@ title: "Proof by Topic"
 ### R
 
 - [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam)
+- [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam2)
 - [Relation between normal distribution and standard normal distribution](/P/norm-snorm)
+- [Relation between normal distribution and standard normal distribution](/P/norm-snorm2)
 - [Relation of Kullback-Leibler divergence to entropy](/P/kl-ent)
 - [Relation of continuous Kullback-Leibler divergence to differential entropy](/P/kl-dent)
 - [Relation of continuous mutual information to joint and conditional differential entropy](/P/cmi-jcde)

I/Proofs_without_Source.md

@@ -9,6 +9,7 @@ title: "Proofs without Source"
 - [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
 - [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
 - [Cumulative distribution function of the exponential distribution](/P/exp-cdf)
+- [Cumulative distribution function of the gamma distribution](/P/gam-cdf)
 - [Derivation of Bayesian model averaging](/P/bma-der)
 - [Derivation of the log Bayes factor](/P/lbf-der)
 - [Derivation of the log family evidence](/P/lfe-der)
@@ -58,7 +59,9 @@ title: "Proofs without Source"
 - [Quantile function of the discrete uniform distribution](/P/duni-qf)
 - [Quantile function of the exponential distribution](/P/exp-qf)
 - [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam)
+- [Relation between gamma distribution and standard gamma distribution](/P/gam-sgam2)
 - [Relation between normal distribution and standard normal distribution](/P/norm-snorm)
+- [Relation between normal distribution and standard normal distribution](/P/norm-snorm2)
 - [Relationship between R² and maximum log-likelihood](/P/rsq-mll)
 - [Relationship between covariance and correlation](/P/cov-corr)
 - [Relationship between precision matrix and correlation matrix](/P/precmat-corrmat)