corrected some pages

Several small corrections were done to several proofs and definitions.

Author: JoramSoch

P/anova1-fols.md

@@ -40,7 +40,7 @@ F = \frac{\frac{1}{k-1} \sum_{i=1}^{k} n_i \hat{\delta}_i^2}{\frac{1}{n-k} \sum_
 $$
 
 
-**Theorem:** The [F-statistic for the main effect in one-way ANOVA](/P/anova1-f) is given in terms of the [sample means](/D/mean-samp) as
+**Proof:** The [F-statistic for the main effect in one-way ANOVA](/P/anova1-f) is given in terms of the [sample means](/D/mean-samp) as
 
 $$ \label{eq:anova1-f}
 F = \frac{\frac{1}{k-1} \sum_{i=1}^{k} n_i (\bar{y}_i - \bar{y})^2}{\frac{1}{n-k} \sum_{i=1}^{k} \sum_{j=1}^{n_i} (y_{ij} - \bar{y}_i)^2}

P/duni-kl.md

@@ -43,7 +43,7 @@ $$ \label{eq:KL-disc}
 \mathrm{KL}[P\,||\,Q] = \sum_{x \in \mathcal{X}} p(x) \, \ln \frac{p(x)}{q(x)} \; .
 $$
 
-This means that the KL divergence of $P$ from $Q$ is only defined, if for all $x \in \mathcal{X}$, $q(x) = 0$ implies $p(x) = 0$. Thus, $\mathrm{KL}[P\,||\,Q]$ only exists, if $a_2 \leq a_1$ and $b_1 \leq b_2$, i.e. if $P$ only places non-zero probability where $Q$ also places non-zero probability, such that $q(x)$ is not zero for any $x \in \mathcal{X}$ where $p(x)$ is positive.
+This means that the KL divergence of $P$ from $Q$ is only defined, if for all $x \in \mathcal{X}$, $q(x) = 0$ implies $p(x) = 0$. Thus, $\mathrm{KL}[P\,\vert\vert\,Q]$ only exists, if $a_2 \leq a_1$ and $b_1 \leq b_2$, i.e. if $P$ only places non-zero probability where $Q$ also places non-zero probability, such that $q(x)$ is not zero for any $x \in \mathcal{X}$ where $p(x)$ is positive.
 
 If this requirement is fulfilled, we can write
 

P/exg-mome.md

@@ -7,7 +7,7 @@ affiliation: "Tarleton State University"
 e_mail: "faulkenberry@tarleton.edu"
 date: 2023-10-30 12:00:00
 
-title: "Method of moments for ex-Gaussian distributed data"
+title: "Method of moments for ex-Gaussian-distributed data"
 chapter: "Probability Distributions"
 section: "Univariate continuous distributions"
 topic: "ex-Gaussian distribution"

P/wald-mome.md

@@ -7,7 +7,7 @@ affiliation: "Tarleton State University"
 e_mail: "faulkenberry@tarleton.edu"
 date: 2023-10-30 12:00:00
 
-title: "Method of moments for Wald distributed data"
+title: "Method of moments for Wald-distributed data"
 chapter: "Probability Distributions"
 section: "Univariate continuous distributions"
 topic: "Wald distribution"