Ibeta {UCS}R Documentation

The Incomplete Beta Function (sfunc)

Description

Computes the incomplete Beta function and its inverse. The Beta value can be scaled to a base 10 logarithm.

Usage

Ibeta(x, a, b, log=FALSE)

Ibeta.inv(y, a, b, log=FALSE)

Arguments

a, b non-negative numeric vectors, the parameters of the incomplete Beta function
x a numeric vector with values in the range [0,1], the point at which the incomplete Beta function is evaluated
y a numeric vector, the values of the incomplete Beta function (or their base 10 logarithms if log=TRUE)
log if TRUE, the Beta values are base 10 logarithms (default: FALSE)

Details

The incomplete Beta function is defined by the Beta integral

B(x;a,b) = integral_0^x t^(a-1) (1-t)^(b-1) dt

Value

Ibeta returns the incomplete Beta function with parameters (a,b) evaluated at point x.

Ibeta.inv returns the point x at which the incomplete Beta function with parameters (a,b) evaluates to y.

See Also

Cgamma, Igamma, Rgamma, Cbeta, Rbeta


[Package UCS version 0.5 Index]