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uniform (discrete) random variable
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(Definition)
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$X$ is a uniform (discrete) random variable with parameter <</SPAN>#60#>$N$ if
$f_X(x) = \frac{1}{N}$ $x=\{1,2,...,N\}$
Parameters:
- $\star$
- $N \in \{1,2,...\}$
Syntax:
$X\sim U\{N\}$
Notes:
- $X$ represents the experiment in which all N outcomes are equally likely to ocurr.
- $E[X] = \frac{N+1}{2}$
- $Var[X] = \frac{N^2-1}{12}$
- $M_X(t) = \sum_{j=1}^{N}{\frac{1}{N} e^{jt}}$
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"uniform (discrete) random variable" is owned by Riemann.
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(view preamble | get metadata)
| Other names: |
uniform random variable, discrete uniform distribution |
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Cross-references: outcomes, represents, syntax, parameter, random variable, discrete
There is 1 reference to this entry.
This is version 2 of uniform (discrete) random variable, born on 2001-10-26, modified 2002-02-17.
Object id is 521, canonical name is UniformDiscreteRandomVariable.
Accessed 11000 times total.
Classification:
| AMS MSC: | 60-00 (Probability theory and stochastic processes :: General reference works ) |
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Pending Errata and Addenda
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