84 lines
1.7 KiB
Plaintext
84 lines
1.7 KiB
Plaintext
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{{alias}}( x, α, β )
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Evaluates the natural logarithm of the probability density function (PDF)
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for a beta distribution with first shape parameter `α` and second shape
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parameter `β` at a value `x`.
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If provided `NaN` as any argument, the function returns `NaN`.
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If `α <= 0` or `β <= 0`, the function returns `NaN`.
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Parameters
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----------
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x: number
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Input value.
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α: number
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First shape parameter.
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β: number
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Second shape parameter.
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Returns
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-------
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out: number
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Natural logarithm of the PDF.
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Examples
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--------
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> var y = {{alias}}( 0.5, 1.0, 1.0 )
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0.0
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> y = {{alias}}( 0.5, 2.0, 4.0 )
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~0.223
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> y = {{alias}}( 0.2, 2.0, 2.0 )
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~-0.041
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> y = {{alias}}( 0.8, 4.0, 4.0 )
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~-0.556
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> y = {{alias}}( -0.5, 4.0, 2.0 )
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-Infinity
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> y = {{alias}}( 1.5, 4.0, 2.0 )
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-Infinity
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> y = {{alias}}( 0.5, -1.0, 0.5 )
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NaN
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> y = {{alias}}( 0.5, 0.5, -1.0 )
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NaN
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> y = {{alias}}( NaN, 1.0, 1.0 )
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NaN
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> y = {{alias}}( 0.5, NaN, 1.0 )
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NaN
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> y = {{alias}}( 0.5, 1.0, NaN )
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NaN
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{{alias}}.factory( α, β )
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Returns a function for evaluating the natural logarithm of the probability
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density function (PDF) of a beta distribution with first shape parameter `α`
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and second shape parameter `β`.
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Parameters
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----------
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α: number
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First shape parameter.
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β: number
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Second shape parameter.
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Returns
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-------
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fcn: Function
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Function to evaluate the natural logarithm of the PDF.
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Examples
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--------
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> var mylogpdf = {{alias}}.factory( 0.5, 0.5 );
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> var y = mylogpdf( 0.8 )
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~-0.228
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> y = mylogpdf( 0.3 )
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~-0.364
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See Also
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--------
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