beta_inc: The incomplete beta function and its inverse
In sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere

beta_inc

R Documentation

The incomplete beta function and its inverse

Computes the incomplete beta function

I_x(a,b):=\int_0^x u^{a-1}(1-u)^{b-1}\,d\mathrm{u},\quad a,b>0

and its inverse function.

beta_inc(x, a, b, lower_tail = TRUE, log = FALSE)

beta_inc_inv(u, a, b, lower_tail = TRUE, log = FALSE)

`x`	a vector of size `nx` or a matrix of size `c(nx, 1)`.
`a`, `b`	scalars giving the parameters of the beta function.
`lower_tail`	accumulate the probability from the lower tail? If `FALSE`, the probability is accumulated from the upper tail. Defaults to `FALSE`.
`log`	use log-scale? If `TRUE`, returns the logarithm of the incomplete beta function and uses log-scale for `u` in `beta_inc`. Defaults to `FALSE`.
`u`	a vector of probabilities of size `nu` or a matrix of size `c(nu, 1)`.

The functions are mere wrappers to R's internal pbeta and qbeta functions.

beta_inc: a matrix of size c(nx, 1) with the evaluation of the incomplete beta function at x.
beta_inc_inv: a matrix of size c(nu, 1) with the evaluation of the inverse incomplete beta function at u.