Difference between revisions of "Uniform distribution"
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Revision as of 21:54, 21 November 2014
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 $$U_{[a,b]}(t) = \left\{ \begin{array}{ll} \dfrac{1}{\sigma(b)-a} &; a \leq t \leq b \\ 0 &; \mathrm{otherwise} \end{array} \right.$$
