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 (375 proofs)
+### JoramSoch (381 proofs)
 
 - [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
 - [Accuracy and complexity for the univariate Gaussian with known variance](/P/ugkv-anc)
@@ -78,6 +78,7 @@ title: "Proof by Author"
 - [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 continuous uniform distribution](/P/cuni-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)
@@ -87,6 +88,7 @@ title: "Proof by Author"
 - [Distribution of the inverse general linear model](/P/iglm-dist)
 - [Distribution of the transformed general linear model](/P/tglm-dist)
 - [Distributional transformation using cumulative distribution function](/P/cdf-dt)
+- [Distributions of estimated parameters, fitted signal and residuals in multiple linear regression upon ordinary least squares](/P/mlr-olsdist)
 - [Distributions of estimated parameters, fitted signal and residuals in multiple linear regression upon weighted least squares](/P/mlr-wlsdist)
 - [Effects of mean-centering on parameter estimates for simple linear regression](/P/slr-meancent)
 - [Entropy of the Bernoulli distribution](/P/bern-ent)
@@ -181,6 +183,7 @@ title: "Proof by Author"
 - [Maximum likelihood estimation for the Poisson distribution with exposure values](/P/poissexp-mle)
 - [Maximum likelihood estimation for the univariate Gaussian](/P/ug-mle)
 - [Maximum likelihood estimation for the univariate Gaussian with known variance](/P/ugkv-mle)
+- [Maximum likelihood estimator of variance in multiple linear regression is biased](/P/resvar-biasp)
 - [Maximum likelihood estimator of variance is biased](/P/resvar-bias)
 - [Maximum log-likelihood for binomial observations](/P/bin-mll)
 - [Maximum log-likelihood for multinomial observations](/P/mult-mll)
@@ -308,6 +311,7 @@ title: "Proof by Author"
 - [Probability-generating function is expectation of function of random variable](/P/pgf-mean)
 - [Probability-generating function of the binomial distribution](/P/bin-pgf)
 - [Projection matrix and residual-forming matrix are idempotent](/P/mlr-idem)
+- [Projection matrix and residual-forming matrix are symmetric](/P/mlr-symm)
 - [Projection of a data point to the regression line](/P/slr-proj)
 - [Quantile function is inverse of strictly monotonically increasing cumulative distribution function](/P/qf-cdf)
 - [Quantile function of the continuous uniform distribution](/P/cuni-qf)
@@ -333,6 +337,7 @@ title: "Proof by Author"
 - [Relationship between covariance matrix and correlation matrix](/P/covmat-corrmat)
 - [Relationship between gamma distribution and standard gamma distribution](/P/gam-sgam)
 - [Relationship between gamma distribution and standard gamma distribution](/P/gam-sgam2)
+- [Relationship between multivariate normal distribution and chi-squared distribution](/P/mvn-chi2)
 - [Relationship between multivariate t-distribution and F-distribution](/P/mvt-f)
 - [Relationship between non-standardized t-distribution and t-distribution](/P/nst-t)
 - [Relationship between normal distribution and chi-squared distribution](/P/norm-chi2)
@@ -375,6 +380,7 @@ title: "Proof by Author"
 - [Variance of the Bernoulli distribution](/P/bern-var)
 - [Variance of the beta distribution](/P/beta-var)
 - [Variance of the binomial distribution](/P/bin-var)
+- [Variance of the continuous uniform distribution](/P/cuni-var)
 - [Variance of the gamma distribution](/P/gam-var)
 - [Variance of the linear combination of two random variables](/P/var-lincomb)
 - [Variance of the normal distribution](/P/norm-var)

I/PbN.md

@@ -400,3 +400,9 @@ title: "Proof by Number"
 | P392 | mlr-f | [F-test for multiple linear regression using contrast-based inference](/P/mlr-f) | JoramSoch | 2022-12-13 |
 | P393 | mlr-ind | [Independence of estimated parameters and residuals in multiple linear regression](/P/mlr-ind) | JoramSoch | 2022-12-13 |
 | P394 | mvn-indprod | [Independence of products of multivariate normal random vector](/P/mvn-indprod) | JoramSoch | 2022-12-13 |
+| P395 | mvn-chi2 | [Relationship between multivariate normal distribution and chi-squared distribution](/P/mvn-chi2) | JoramSoch | 2022-12-20 |
+| P396 | cuni-var | [Variance of the continuous uniform distribution](/P/cuni-var) | JoramSoch | 2021-12-20 |
+| P397 | cuni-dent | [Differential entropy of the continuous uniform distribution](/P/cuni-dent) | JoramSoch | 2021-12-20 |
+| P398 | resvar-biasp | [Maximum likelihood estimator of variance in multiple linear regression is biased](/P/resvar-biasp) | JoramSoch | 2022-12-21 |
+| P399 | mlr-symm | [Projection matrix and residual-forming matrix are symmetric](/P/mlr-symm) | JoramSoch | 2022-12-22 |
+| P400 | mlr-olsdist | [Distributions of estimated parameters, fitted signal and residuals in multiple linear regression upon ordinary least squares](/P/mlr-olsdist) | JoramSoch | 2022-12-23 |

I/PbT.md

@@ -86,6 +86,7 @@ title: "Proof by Topic"
 - [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 continuous uniform distribution](/P/cuni-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)
@@ -95,6 +96,7 @@ title: "Proof by Topic"
 - [Distribution of the inverse general linear model](/P/iglm-dist)
 - [Distribution of the transformed general linear model](/P/tglm-dist)
 - [Distributional transformation using cumulative distribution function](/P/cdf-dt)
+- [Distributions of estimated parameters, fitted signal and residuals in multiple linear regression upon ordinary least squares](/P/mlr-olsdist)
 - [Distributions of estimated parameters, fitted signal and residuals in multiple linear regression upon weighted least squares](/P/mlr-wlsdist)
 
 ### E
@@ -214,6 +216,7 @@ title: "Proof by Topic"
 - [Maximum likelihood estimation for the Poisson distribution with exposure values](/P/poissexp-mle)
 - [Maximum likelihood estimation for the univariate Gaussian](/P/ug-mle)
 - [Maximum likelihood estimation for the univariate Gaussian with known variance](/P/ugkv-mle)
+- [Maximum likelihood estimator of variance in multiple linear regression is biased](/P/resvar-biasp)
 - [Maximum likelihood estimator of variance is biased](/P/resvar-bias)
 - [Maximum log-likelihood for binomial observations](/P/bin-mll)
 - [Maximum log-likelihood for multinomial observations](/P/mult-mll)
@@ -359,6 +362,7 @@ title: "Proof by Topic"
 - [Probability-generating function is expectation of function of random variable](/P/pgf-mean)
 - [Probability-generating function of the binomial distribution](/P/bin-pgf)
 - [Projection matrix and residual-forming matrix are idempotent](/P/mlr-idem)
+- [Projection matrix and residual-forming matrix are symmetric](/P/mlr-symm)
 - [Projection of a data point to the regression line](/P/slr-proj)
 - [Proof Template](/P/-temp-)
 
@@ -392,6 +396,7 @@ title: "Proof by Topic"
 - [Relationship between covariance matrix and correlation matrix](/P/covmat-corrmat)
 - [Relationship between gamma distribution and standard gamma distribution](/P/gam-sgam)
 - [Relationship between gamma distribution and standard gamma distribution](/P/gam-sgam2)
+- [Relationship between multivariate normal distribution and chi-squared distribution](/P/mvn-chi2)
 - [Relationship between multivariate t-distribution and F-distribution](/P/mvt-f)
 - [Relationship between non-standardized t-distribution and t-distribution](/P/nst-t)
 - [Relationship between normal distribution and chi-squared distribution](/P/norm-chi2)
@@ -445,6 +450,7 @@ title: "Proof by Topic"
 - [Variance of the Bernoulli distribution](/P/bern-var)
 - [Variance of the beta distribution](/P/beta-var)
 - [Variance of the binomial distribution](/P/bin-var)
+- [Variance of the continuous uniform distribution](/P/cuni-var)
 - [Variance of the gamma distribution](/P/gam-var)
 - [Variance of the linear combination of two random variables](/P/var-lincomb)
 - [Variance of the log-normal distribution](/P/lognorm-var)

I/PwS.md

@@ -29,6 +29,7 @@ title: "Proofs without Source"
 - [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 continuous uniform distribution](/P/cuni-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)
@@ -128,6 +129,7 @@ title: "Proofs without Source"
 - [Transformation matrices for simple linear regression](/P/slr-mat)
 - [Transitivity of Bayes Factors](/P/bf-trans)
 - [Transposition of a matrix-normal random variable](/P/matn-trans)
+- [Variance of the continuous uniform distribution](/P/cuni-var)
 - [Variance of the Wald distribution](/P/wald-var)
 - [Weighted least squares for multiple linear regression](/P/mlr-wls2)
 - [Weighted least squares for simple linear regression](/P/slr-wls)