Ibeta {UCS} | R Documentation |
Computes the incomplete Beta function and its inverse. The Beta value can be scaled to a base 10 logarithm.
Ibeta(x, a, b, log=FALSE) Ibeta.inv(y, a, b, log=FALSE)
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 ) |
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
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
.
Cgamma
, Igamma
, Rgamma
,
Cbeta
, Rbeta