Statistics[Distributions][EmpiricalDistribution] - Empirical distribution
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Calling Sequence
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EmpiricalDistribution(sample, opts)
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Parameters
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sample
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a list or rtable of samples
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opts
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(optional) an equation of the form probabilities = plist
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Description
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The empirical distribution is a discrete probability distribution with probability function generated from the given sample.
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If opts is not given, then Maple assigns a probability to each variate present within the sample equal to the fraction of occurrences of that value within the entire sample. If opts is specified, then plist should be a list or rtable of probabilities (nonnegative real numbers adding up to 1), having equally many entries as sample; the ith entry of plist specifies the probability for the ith entry of sample.
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If all the values in sample are positive integers, you can use the ProbabilityTable distribution instead.
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Note that the EmpiricalDistribution command is inert and should be used in combination with the RandomVariable command.
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Compatibility
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The probabilities option was introduced in Maple 16.
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Examples
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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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