Difference between revisions of "Uniform distribution"

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__NOTOC__
 
Let $\mathbb{T}$ be a [[time scale]]. Let $a,b \in \mathbb{T}$. The uniform distribution on the interval $[a,b] \cap \mathbb{T}$ is given by the formula
 
Let $\mathbb{T}$ be a [[time scale]]. Let $a,b \in \mathbb{T}$. The uniform distribution on the interval $[a,b] \cap \mathbb{T}$ is given by the formula
 
$$U_{[a,b]}(t) = \left\{ \begin{array}{ll}
 
$$U_{[a,b]}(t) = \left\{ \begin{array}{ll}
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0 &; \mathrm{otherwise}
 
0 &; \mathrm{otherwise}
 
\end{array} \right.$$
 
\end{array} \right.$$
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=Properties=
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[[Expected value of uniform distribution]]<br />
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[[Variance of uniform distribution]]<br />
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=References=
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[http://scholarsmine.mst.edu/doctoral_dissertations/2241/]
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{{:Probability distributions footer}}

Latest revision as of 01:22, 30 September 2018

Let $\mathbb{T}$ be a time scale. Let $a,b \in \mathbb{T}$. The uniform distribution on the interval $[a,b] \cap \mathbb{T}$ is given by the formula $$U_{[a,b]}(t) = \left\{ \begin{array}{ll} \dfrac{1}{\sigma(b)-a} &; a \leq t \leq b \\ 0 &; \mathrm{otherwise} \end{array} \right.$$

Properties

Expected value of uniform distribution
Variance of uniform distribution

References

[1]

Probability distributions

Uniform distributionExponential distributionGamma distribution