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@stdlib/stats

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Standard library statistical functions.

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{{alias}}( x, k, λ ) Evaluates the cumulative distribution function (CDF) for a Weibull distribution with shape parameter `k` and scale parameter `λ` at a value `x`. If provided `NaN` as any argument, the function returns `NaN`. If provided a non-positive value for `λ` or `k`, the function returns `NaN`. Parameters ---------- x: number Input value. k: number Shape parameter. λ: number Scale parameter. Returns ------- out: number Evaluated CDF. Examples -------- > var y = {{alias}}( 2.0, 1.0, 1.0 ) ~0.865 > y = {{alias}}( -1.0, 2.0, 2.0 ) 0.0 > y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}}, 4.0, 2.0 ) 1.0 > y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}}, 4.0, 2.0 ) 0.0 > y = {{alias}}( NaN, 0.0, 1.0 ) NaN > y = {{alias}}( 0.0, NaN, 1.0 ) NaN > y = {{alias}}( 0.0, 0.0, NaN ) NaN > y = {{alias}}( 2.0, 0.0, -1.0 ) NaN {{alias}}.factory( k, λ ) Returns a function for evaluating the cumulative distribution function (CDF) of a Weibull distribution with shape parameter `k` and scale parameter `λ`. Parameters ---------- k: number Shape parameter. λ: number Scale parameter. Returns ------- cdf: Function Cumulative distribution function (CDF). Examples -------- > var myCDF = {{alias}}.factory( 2.0, 10.0 ); > var y = myCDF( 12.0 ) ~0.763 See Also --------