corrected some pages

Several small mistakes/errors were corrected in several proofs/definitions.

Author: JoramSoch

D/rvar-uni.md

@@ -29,8 +29,8 @@ username: "JoramSoch"
 
 **Definition:** Let $X$ be a [random variable](/D/rvar) with possible outcomes $\mathcal{X}$. Then,
 
-* $X$ is called a univariate random variable or [random scalar](/D/rvar), if $\mathcal{X}$ is one-dimensional, i.e. (a subset of) the set of real numbers $\mathbb{R}$;
+* $X$ is called a univariate random variable or [random scalar](/D/rvar), if $\mathcal{X}$ is one-dimensional, i.e. (a subset of) the real numbers $\mathbb{R}$;
 
-* $X$ is called a multivariate random variable or [random vector](/D/rvec), if $\mathcal{X}$ is multi-dimensional, e.g. (a subset of) the set of real vectors $\mathbb{R}^n$;
+* $X$ is called a multivariate random variable or [random vector](/D/rvec), if $\mathcal{X}$ is multi-dimensional, e.g. (a subset of) the $n$-dimensional Euclidean space $\mathbb{R}^n$;
 
-* $X$ is called a matrix-valued random variable or [random matrix](/D/rmat), if $\mathcal{X}$ is (a subset of) the set of real matrices $\mathbb{R}^{n \times p}$.
+* $X$ is called a matrix-valued random variable or [random matrix](/D/rmat), if $\mathcal{X}$ is (a subset of) the set of $n \times p$ real matrices $\mathbb{R}^{n \times p}$.

P/dir-ep.md

@@ -7,7 +7,7 @@ affiliation: "BCCN Berlin"
 e_mail: "joram.soch@bccn-berlin.de"
 date: 2020-10-22 08:04:00
 
-title: "Exceedance probabilities for the the Dirichlet distribution"
+title: "Exceedance probabilities for the Dirichlet distribution"
 chapter: "Probability Distributions"
 section: "Multivariate continuous distributions"
 topic: "Dirichlet distribution"