Difference between revisions of "Variance of exponential distribution"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the exponential dist...") |
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| − | + | ==Theorem== | |
| − | + | If $X$ with a random variable with the [[exponential distribution]] with parameter $\lambda$, then, | |
| − | $$\mathrm{Var}_{\mathbb{T}}(X)=\dfrac{1}{\lambda^2} | + | $$\mathrm{Var}_{\mathbb{T}}(X)=\dfrac{1}{\lambda^2},$$ |
| − | + | where $\mathrm{Var}$ denotes [[variance]]. | |
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| + | ==References== | ||
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 14:06, 28 January 2023
Theorem
If $X$ with a random variable with the exponential distribution with parameter $\lambda$, then, $$\mathrm{Var}_{\mathbb{T}}(X)=\dfrac{1}{\lambda^2},$$ where $\mathrm{Var}$ denotes variance.
