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@stdlib/stats

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Standard library statistical functions.

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{{alias}}( t, λ ) Evaluates the moment-generating function (MGF) for an exponential distribution with rate parameter `λ` at a value `t`. If provided `NaN` as any argument, the function returns `NaN`. If provided a negative value for `λ`, the function returns `NaN`. Parameters ---------- t: number Input value. λ: number Rate parameter. Returns ------- out: number Evaluated MGF. Examples -------- > var v = {{alias}}( 2.0, 3.0 ) 3.0 > v = {{alias}}( 0.4, 1.2 ) 1.5 > v = {{alias}}( 0.8, 1.6 ) 2.0 > v = {{alias}}( 4.0, 3.0 ) NaN > v = {{alias}}( NaN, 3.0 ) NaN > v = {{alias}}( 2.0, NaN ) NaN {{alias}}.factory( λ ) Returns a function for evaluating the moment-generating function (MGF) for an exponential distribution with rate parameter `λ`. Parameters ---------- λ: number Rate parameter. Returns ------- mg: Function Moment-generating function (MGF). Examples -------- > var myMGF = {{alias}}.factory( 4.0 ); > var y = myMGF( 3.0 ) 4.0 > y = myMGF( 0.5 ) ~1.143 See Also --------