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@stdlib/stats

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Standard library statistical functions.

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{{alias}}( p, μ, σ ) Evaluates the quantile function for a lognormal distribution with location parameter `μ` and scale parameter `σ` at a probability `p`. If `p < 0` or `p > 1`, the function returns `NaN`. If provided `NaN` as any argument, the function returns `NaN`. If provided `σ <= 0`, the function returns `NaN`. Parameters ---------- p: number Input probability. μ: number Location parameter. σ: number Scale parameter. Returns ------- out: number Evaluated quantile function. Examples -------- > var y = {{alias}}( 0.8, 0.0, 1.0 ) ~2.32 > y = {{alias}}( 0.5, 4.0, 2.0 ) ~54.598 > y = {{alias}}( 1.1, 0.0, 1.0 ) NaN > y = {{alias}}( -0.2, 0.0, 1.0 ) NaN > y = {{alias}}( NaN, 0.0, 1.0 ) NaN > y = {{alias}}( 0.0, NaN, 1.0 ) NaN > y = {{alias}}( 0.0, 0.0, NaN ) NaN // Non-positive scale parameter `σ`: > y = {{alias}}( 0.5, 0.0, -1.0 ) NaN > y = {{alias}}( 0.5, 0.0, 0.0 ) NaN {{alias}}.factory( μ, σ ) Returns a function for evaluating the quantile function of a lognormal distribution with location parameter `μ` and scale parameter `σ`. Parameters ---------- μ: number Location parameter. σ: number Scale parameter. Returns ------- quantile: Function Quantile function. Examples -------- > var myQuantile = {{alias}}.factory( 4.0, 2.0 ); > var y = myQuantile( 0.2 ) ~10.143 > y = myQuantile( 0.8 ) ~293.901 See Also --------