phyperIbeta {DPQ}  R Documentation 
Pearson's incomplete Beta Approximation to the Hyperbolic Distribution
Description
Pearson's incomplete Beta function approximation to the cumulative
hyperbolic distribution function phyper(.)
.
Note that in R, pbeta()
provides a version of the
incomplete Beta function.
Usage
phyperIbeta(q, m, n, k)
Arguments
q 
vector of quantiles representing the number of white balls drawn without replacement from an urn which contains both black and white balls. 
m 
the number of white balls in the urn. 
n 
the number of black balls in the urn. 
k 
the number of balls drawn from the urn, hence must be in

Value
a numeric vector “like” q
with values approximately equal
to phyper(q,m,n,k)
.
Author(s)
Martin Maechler
References
Johnson, Kotz & Kemp (1992): (6.90), p.260 –> Bol'shev (1964)
See Also
Examples
## The function is currently defined as
function (q, m, n, k)
{
Np < m
N < n + m
n < k
x < q
p < Np/N
np < n * p
xi < (n + Np  1  2 * np)/(N  2)
d.c < (N  n) * (1  p) + np  1
cc < n * (n  1) * p * (Np  1)/((N  1) * d.c)
lam < (N  2)^2 * np * (N  n) * (1  p)/((N  1) * d.c *
(n + Np  1  2 * np))
pbeta(1  xi, lam  x + cc, x  cc + 1)
}
[Package DPQ version 0.58 Index]