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Statistics[ProbabilityDensityFunction] - compute the probability density function
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Calling Sequence
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ProbabilityDensityFunction(X, t, options)
PDF(X, t, options)
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Parameters
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X
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algebraic; random variable or distribution
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t
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algebraic; point
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options
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(optional) equation of the form numeric=value; specifies options for computing the probability density function of a random variable
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Description
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The ProbabilityDensityFunction function computes the probability density function of the specified random variable at the specified point.
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Computation
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By default, all computations involving random variables are performed symbolically (see option numeric below).
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Options
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The options argument can contain one or more of the options shown below. More information for some options is available in the Statistics[RandomVariables] help page.
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numeric=truefalse -- By default, the probability density function is computed using exact arithmetic. To compute the probability density function numerically, specify the numeric or numeric = true option.
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mainbranch - returns the main branch of the distribution only.
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Examples
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Compute the probability density function of the beta distribution with parameters p and q.
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![PIECEWISE([0, t < 0], [t^(-1+p)*(1-t)^(-1+q)/Beta(p, q), t < 1], [0, otherwise])](/support/helpjp/helpview.aspx?si=4633/file02920/math133.png)
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Use numeric parameters.
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Define new distribution.
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References
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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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Download Help Document
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