phyperMolenaar: Molenaar's Normal Approximations to the Hypergeometric...

In DPQ: Density, Probability, Quantile ('DPQ') Computations

Molenaar's Normal Approximations to the Hypergeometric Distribution

Description

Compute Molenaar's two normal approximations to the (cumulative hypergeometric distribution phyper().

Usage

phyper1molenaar(q, m, n, k)
phyper2molenaar(q, m, n, k)

Arguments

q	(vector of) 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 in 0,1,\dots,m+n.

Details

Both approximations are from page 261 of Johnson, Kotz & Kemp (1992). phyper1molenaar is formula (6.91), and phyper2molenaar is formula (6.92).

Value

a numeric vector, with the length the maximum of the lengths of q, m, n, k.

Author(s)

Martin Maechler

References

Johnson, Kotz & Kemp (1992): p.261

See Also

phyper, pnorm.

Examples

 ## TODO -- maybe see  ../tests/hyper-dist-ex.R

DPQ documentation built on July 18, 2025, 3:01 p.m.