From 79e15f4246e022453071c19a8bcc3b52c766c102 Mon Sep 17 00:00:00 2001 From: RemyDegenne Date: Thu, 28 Dec 2023 15:35:26 +0100 Subject: [PATCH] minor --- blueprint/src/chapter/clt.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/blueprint/src/chapter/clt.tex b/blueprint/src/chapter/clt.tex index 63a9863..4ef5b2b 100644 --- a/blueprint/src/chapter/clt.tex +++ b/blueprint/src/chapter/clt.tex @@ -21,7 +21,7 @@ \chapter{The central limit theorem} \end{proof} \begin{theorem}[Central limit theorem]\label{clt} -Let $X_1, X_2, \ldots$ be i.i.d. random variables with mean 0 and variance 1, and let $Z$ be a random variable with law $\mathcal N(0,1)$. Then +Let $X_1, X_2, \ldots$ be i.i.d. real random variables with mean 0 and variance 1, and let $Z$ be a random variable with law $\mathcal N(0,1)$. Then \begin{align*} \frac{1}{\sqrt{n}}\sum_{k=1}^n X_k \xrightarrow{d} Z \: . \end{align*}