phyperMolenaar: 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)
Value
a numeric vector, with the length the maximum of the
lengths of 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 \((6.92)\).
References
Johnson, Kotz & Kemp (1992): p.261
Examples
Run this code ## TODO -- maybe see ../tests/hyper-dist-ex.R
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