# Difference between revisions of "Uniform distribution"

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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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=Properties= | =Properties= | ||

− | + | [[Expected value of uniform distribution]]<br /> | |

− | + | [[Variance of uniform distribution]]<br /> | |

=References= | =References= |

## 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

## Probability distributions | ||

Uniform distribution | Exponential distribution | Gamma distribution |