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@stdlib/stats

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Standard library statistical functions.

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{{alias}}( x, k ) Evaluates the cumulative distribution function (CDF) for a chi distribution with degrees of freedom `k` at a value `x`. If provided `NaN` as any argument, the function returns `NaN`. If provided `k < 0`, the function returns `NaN`. Parameters ---------- x: number Input value. k: number Degrees of freedom. Returns ------- out: number Evaluated CDF. Examples -------- > var y = {{alias}}( 2.0, 3.0 ) ~0.739 > y = {{alias}}( 1.0, 0.5 ) ~0.846 > y = {{alias}}( -1.0, 4.0 ) 0.0 > y = {{alias}}( NaN, 1.0 ) NaN > y = {{alias}}( 0.0, NaN ) NaN // Negative degrees of freedom: > y = {{alias}}( 2.0, -1.0 ) NaN // Degenerate distribution when `k = 0`: > y = {{alias}}( 2.0, 0.0 ) 1.0 > y = {{alias}}( -2.0, 0.0 ) 0.0 > y = {{alias}}( 0.0, 0.0 ) 0.0 {{alias}}.factory( k ) Returns a function for evaluating the cumulative distribution function (CDF) of a chi distribution with degrees of freedom `k`. Parameters ---------- k: number Degrees of freedom. Returns ------- cdf: Function Cumulative distribution function (CDF). Examples -------- > var mycdf = {{alias}}.factory( 1.0 ); > var y = mycdf( 2.0 ) ~0.954 > y = mycdf( 1.2 ) ~0.77 See Also --------