Merge pull request #154 from StatProofBook/master

update to master

Author: JoramSoch

I/DbA.md

@@ -13,7 +13,7 @@ title: "Definition by Author"
 
 - [Sample covariance](/D/cov-samp)
 
-### JoramSoch (189 definitions)
+### JoramSoch (190 definitions)
 
 - [Akaike information criterion](/D/aic)
 - [Alternative hypothesis](/D/h1)
@@ -52,6 +52,7 @@ title: "Definition by Author"
 - [Cumulant-generating function](/D/cgf)
 - [Cumulative distribution function](/D/cdf)
 - [Data](/D/data)
+- [Degrees of freedom](/D/dof)
 - [Deviance](/D/dev)
 - [Deviance information criterion](/D/dic)
 - [Differential cross-entropy](/D/dent-cross)

I/DbN.md

@@ -212,3 +212,4 @@ title: "Definition by Number"
 | D203 | data | [Data](/D/data) | JoramSoch | 2024-09-20 |
 | D204 | para | [Parameter](/D/para) | JoramSoch | 2024-09-27 |
 | D205 | stat | [Statistic](/D/stat) | JoramSoch | 2024-10-04 |
+| D206 | dof | [Degrees of freedom](/D/dof) | JoramSoch | 2024-10-11 |

I/DbT.md

@@ -56,6 +56,7 @@ title: "Definition by Topic"
 
 - [Data](/D/data)
 - [Definition Template](/D/-temp-)
+- [Degrees of freedom](/D/dof)
 - [Deviance](/D/dev)
 - [Deviance information criterion](/D/dic)
 - [Differential cross-entropy](/D/dent-cross)

I/PbA.md

@@ -12,7 +12,7 @@ title: "Proof by Author"
 
 - [Posterior predictive distribution is a marginal distribution of the joint likelihood](/P/postpred-jl)
 
-### JoramSoch (437 proofs)
+### JoramSoch (438 proofs)
 
 - [Accuracy and complexity for Bayesian linear regression](/P/blr-anc)
 - [Accuracy and complexity for Bayesian linear regression with known covariance](/P/blrkc-anc)
@@ -202,6 +202,7 @@ title: "Proof by Author"
 - [Marginal distributions of the multivariate normal distribution](/P/mvn-marg)
 - [Marginal distributions of the normal-gamma distribution](/P/ng-marg)
 - [Marginal likelihood is a definite integral of the joint likelihood](/P/ml-jl)
+- [Marginally normal does not imply jointly normal](/P/norm-margjoint)
 - [Maximum likelihood estimation can result in biased estimates](/P/mle-bias)
 - [Maximum likelihood estimation for binomial observations](/P/bin-mle)
 - [Maximum likelihood estimation for Dirichlet-distributed data](/P/dir-mle)

I/PbN.md

@@ -479,3 +479,4 @@ title: "Proof by Number"
 | P471 | med-mae | [The median minimizes the mean absolute error](/P/med-mae) | salbalkus | 2024-09-23 |
 | P472 | corr-ind | [Independent random variables are uncorrelated](/P/corr-ind) | JoramSoch | 2024-09-27 |
 | P473 | norm-corrind | [Normally distributed and uncorrelated does not imply independent](/P/norm-corrind) | JoramSoch | 2024-10-04 |
+| P474 | norm-margjoint | [Marginally normal does not imply jointly normal](/P/norm-margjoint) | JoramSoch | 2024-10-11 |

I/PbT.md

@@ -232,6 +232,7 @@ title: "Proof by Topic"
 - [Marginal distributions of the multivariate normal distribution](/P/mvn-marg)
 - [Marginal distributions of the normal-gamma distribution](/P/ng-marg)
 - [Marginal likelihood is a definite integral of the joint likelihood](/P/ml-jl)
+- [Marginally normal does not imply jointly normal](/P/norm-margjoint)
 - [Maximum likelihood estimation can result in biased estimates](/P/mle-bias)
 - [Maximum likelihood estimation for binomial observations](/P/bin-mle)
 - [Maximum likelihood estimation for Dirichlet-distributed data](/P/dir-mle)

P/norm-margjoint.md

@@ -81,7 +81,7 @@ $$
 [follows a univariate normal distribution](/P/bvn-lincomb):
 
 $$ \label{eq:bvn-lincomb}
-Z \sim \mathcal{N}\left( a \mu_1 + b \mu_2, a^2 \sigma_1^2 + 2 a b \sigma_{12} + b^2 + \sigma_2^2 \right) \; .
+Z \sim \mathcal{N}\left( a \mu_1 + b \mu_2, a^2 \sigma_1^2 + 2 a b \sigma_{12} + b^2 \sigma_2^2 \right) \; .
 $$
 
 Consider the sum of $X$ and $Y$ defined by \eqref{eq:X-Y}: