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Interface for the quantile function of a beta distribution.

Hierarchy

  • Quantile

Callable

  • __call(p: number, alpha: number, beta: number): number
  • Evaluates the quantile function for a beta distribution with first shape parameter alpha and second shape parameter beta at a probability p.

    Notes

    • If p < 0 or p > 1, the function returns NaN.
    • If alpha <= 0 or beta <= 0, the function returns NaN.

    Parameters

    • p: number

      input value

    • alpha: number

      first shape parameter

    • beta: number

      second shape parameter

    Returns number

    evaluated quantile function

    Example

    var y = quantile( 0.8, 2.0, 1.0 );
    // returns ~0.894

    Example

    var y = quantile( 0.5, 4.0, 2.0 );
    // returns ~0.686

    Example

    var y = quantile( 1.1, 1.0, 1.0 );
    // returns NaN

    Example

    var y = quantile( -0.2, 1.0, 1.0 );
    // returns NaN

    Example

    var y = quantile( NaN, 1.0, 1.0 );
    // returns NaN

    Example

    var y = quantile( 0.5, NaN, 1.0 );
    // returns NaN

    Example

    var y = quantile( 0.5, 1.0, NaN );
    // returns NaN

    Example

    var y = quantile( 0.5, -1.0, 1.0 );
    // returns NaN

    Example

    var y = quantile( 0.5, 1.0, -1.0 );
    // returns NaN

Index

Methods

Methods

factory

  • factory(alpha: number, beta: number): Unary
  • Returns a function for evaluating the quantile function for a beta distribution with first shape parameter alpha and second shape parameter beta.

    Parameters

    • alpha: number

      first shape parameter

    • beta: number

      second shape parameter

    Returns Unary

    quantile function

    Example

    var myQuantile = quantile.factory( 2.5, 0.5 );
    var y = myQuantile( 0.5 );
    // returns ~0.904
    
    y = myQuantile( 0.8 );
    // returns ~0.986