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Statistics[Distributions][DiscreteUniform] - discrete uniform distribution
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Calling Sequence
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DiscreteUniform(a, b)
DiscreteUniformDistribution(a, b)
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Parameters
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a
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lower bound parameter
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b
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-
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upper bound parameter
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Description
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The discrete uniform distribution is a discrete probability distribution with probability function given by:
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subject to the following conditions:
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Note that the DiscreteUniform command is inert and should be used in combination with the RandomVariable command.
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Examples
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![PIECEWISE([0, u < a], [-1/(-b+a-1), u <= b], [0, otherwise])](/support/helpjp/helpview.aspx?si=4636/file06573/math83.png)
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![PIECEWISE([0, 4 < a], [-1/(-b+a-1), 4 <= b], [0, otherwise])](/support/helpjp/helpview.aspx?si=4636/file06573/math90.png)
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References
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Evans, Merran; Hastings, Nicholas; and Peacock, Brian. Statistical Distributions. 3rd ed. Hoboken: Wiley, 2000.
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Johnson, Norman L.; Kotz, Samuel; and Balakrishnan, N. Continuous Univariate Distributions. 2nd ed. 2 vols. Hoboken: Wiley, 1995.
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Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.
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