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Update docs/math/expectation.md
author
TianyiQ
<34389237+TianyiQ@users.noreply.github.com>
Sat, 31 Oct 2020 05:28:14 +0000
(13:28 +0800)
committer
GitHub
<noreply@github.com>
Sat, 31 Oct 2020 05:28:14 +0000
(13:28 +0800)
Co-authored-by: mgt <mgt@oi-wiki.org>
docs/math/expectation.md
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--- a/
docs/math/expectation.md
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docs/math/expectation.md
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$$
我们称若干个随机变量 $X_{1\ldots n}$ **互相独立** ,当 $(X_1,\ldots,X_n)$ 取任意一组值的概率,等于每个 $X_i$ 分别取对应值的概率乘积。形式化地说:
$$
-P
(\bigcap\limits_{i=1}^n X_i=F_i
)=\prod\limits_{i=1}^n P(X_i=F_i),\forall F_{1\ldots n} \text{ s.t. } F_i\in I(X_i)
+P
\Big(\bigcap\limits_{i=1}^n X_i=F_i\Big
)=\prod\limits_{i=1}^n P(X_i=F_i),\forall F_{1\ldots n} \text{ s.t. } F_i\in I(X_i)
$$
由此可见,若干随机变量 **两两独立** 和 **互相独立** 是不同的概念。请注意这一点。