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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*}