R: HyperGeometric Distribution via Molenaar's Binomial...

phyperBinMolenaar {DPQ} | R Documentation

## HyperGeometric Distribution via Molenaar's Binomial Approximation

### Description

Compute hypergeometric cumulative probabilities via Molenaar's binomial approximations. The arguments of these functions are exactly those of R's own `phyper()`.

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### Usage

    phyperBinMolenaar  (q, m, n, k, lower.tail = TRUE, log.p = FALSE)
    phyperBinMolenaar.1(q, m, n, k, lower.tail = TRUE, log.p = FALSE)
    phyperBinMolenaar.2(q, m, n, k, lower.tail = TRUE, log.p = FALSE)
    phyperBinMolenaar.3(q, m, n, k, lower.tail = TRUE, log.p = FALSE)
    phyperBinMolenaar.4(q, m, n, k, lower.tail = TRUE, log.p = FALSE)

### 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 0,1,…, m+n.
`lower.tail` | logical; if TRUE (default), probabilities are P[X ≤ x], otherwise, P[X > x].
`log.p` | logical; if TRUE, probabilities p are given as log(p).

### Value

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### Author(s)

Martin Maechler

### References

Johnson, N.L., Kotz, S. and Kemp, A.W. (1992) Univariate Discrete Distributions, 2nd ed.; Wiley.
Chapter 6, mostly Section 5 Approximations and Bounds, p.256 ff

### See Also

`phyper`, the hypergeometric distribution, and R's own “exact” computation. `pbinom`, the binomial distribution functions.

### Examples

    ## The function is currently defined as
    function (q, m, n, k, lower.tail = TRUE, log.p = FALSE)
    pbinom(q, size = k, prob = hyper2binomP(q, m, n, k), lower.tail = lower.tail,
        log.p = log.p)

[Package DPQ version 0.4-4 Index]