Definition:Uniform Distribution/Discrete
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Definition
Let $X$ be a discrete random variable on a probability space.
Then $X$ has a discrete uniform distribution with parameter $n$ if and only if:
- $\Img X = \set {1, 2, \ldots, n}$
- $\map \Pr {X = k} = \dfrac 1 n$
That is, there is a number of outcomes with an equal probability of occurrence.
This is written:
- $X \sim \DiscreteUniform n$
Also see
- Results about the discrete uniform distribution can be found here.
Technical Note
The $\LaTeX$ code for \(\DiscreteUniform {n}\) is \DiscreteUniform {n}
.
When the argument is a single character, it is usual to omit the braces:
\DiscreteUniform n
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): uniform distribution