Difference between revisions of "Expected value of uniform distribution"
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<strong>[[Expected value of uniform distribution|Proposition]]:</strong> Let $X$ have the [[uniform distribution]] on $[a,b] \cap \mathbb{T}$. Then, | <strong>[[Expected value of uniform distribution|Proposition]]:</strong> Let $X$ have the [[uniform distribution]] on $[a,b] \cap \mathbb{T}$. Then, | ||
| − | $$ | + | $$\mathrm{E}_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$ |
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<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
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Revision as of 22:00, 14 April 2015
Proposition: Let $X$ have the uniform distribution on $[a,b] \cap \mathbb{T}$. Then, $$\mathrm{E}_{\mathbb{T}}(X) = \dfrac{h_2(\sigma(b),a)}{\sigma(b)-a}+a.$$
Proof: █
