phyperMolenaar {DPQ} | R Documentation |

## 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 |

### 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

### Examples

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

[Package

*DPQ*version 0.5-8 Index]