84 lines
1.6 KiB
Plaintext
84 lines
1.6 KiB
Plaintext
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{{alias}}( t, α, β )
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Evaluates the moment-generating function (MGF) for a beta distribution with
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first shape parameter `α` and second shape parameter `β` at a value `t`.
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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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t: 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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Evaluated MGF.
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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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~1.297
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> y = {{alias}}( 0.5, 2.0, 4.0 )
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~1.186
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> y = {{alias}}( 3.0, 2.0, 2.0 )
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~5.575
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> y = {{alias}}( -0.8, 4.0, 4.0 )
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~0.676
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> y = {{alias}}( NaN, 1.0, 1.0 )
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NaN
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> y = {{alias}}( 0.0, NaN, 1.0 )
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NaN
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> y = {{alias}}( 0.0, 1.0, NaN )
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NaN
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> y = {{alias}}( 2.0, -1.0, 0.5 )
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NaN
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> y = {{alias}}( 2.0, 0.0, 0.5 )
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NaN
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> y = {{alias}}( 2.0, 0.5, -1.0 )
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NaN
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> y = {{alias}}( 2.0, 0.5, 0.0 )
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NaN
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{{alias}}.factory( α, β )
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Returns a function for evaluating the moment-generating function (MGF) of a
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beta distribution with first shape parameter `α` and second shape parameter
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`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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mgf: Function
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Moment-generating function (MGF).
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Examples
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--------
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> var myMGF = {{alias}}.factory( 0.5, 0.5 );
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> var y = myMGF( 0.8 )
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~1.552
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> y = myMGF( 0.3 )
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~1.168
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See Also
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--------
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