BetaI

BetaI(x, a, b)

The incomplete beta function.

The incomplete beta function returns the cumulative probability for a Beta(a, b) distribution at «x», defined by:

[math]\displaystyle{ BetaI(x,a,b) = {1\over{BetaFn(a,b)}} \int_0^x x^{a-1} (1-x)^{b-1} dx }[/math]

Library

Advanced Math, Distribution Densities Library (Distribution Densities.ana)

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See Also

• Beta : The beta distribution
• BetaFn : The complete beta function
• BetaIInv : The inverse of the beta function
• BetaIaInv : The inverse of the beta function with respect to parameter «a»
• GammaI : the closely related incomplete gamma function
• Distribution Densities Library
• Distribution Densities.ana