MM-package {MM}

The Multiplicative Multivariate distribution, and the Multivariate Multiplicative Binomial Distribution

Description

Two generalizations of the Multiplicative Binomial distribution of Altham (1978).

Details

The DESCRIPTION file:

Package:	MM
Type:	Package
Title:	The Multiplicative Multinomial Distribution
Description:	Various utilities for the Multiplicative Multinomial distribution.
Version:	1.6-8
Depends:	R (>= 2.10.0)
Imports:	magic (>= 1.5-6), abind, quadform (>= 0.0-2), methods, mathjaxr, partitions (>= 1.9-14), Oarray
Author:	Robin K. S. Hankin and P. M. E. Altham
Maintainer:	Robin K. S. Hankin <[e-mail]>
License:	GPL-2
LazyLoad:	yes
NeedsCompilation:	no
Repository:	CRAN
URL:	https://github.com/RobinHankin/MM
BugReports:	https://github.com/RobinHankin/MM/issues
RdMacros:	mathjaxr

Index of help topics:

Lindsey                 The Poisson device of Lindsey and Mersch
                        (1992).
MB                      Multivariate multiplicative binomial
                        distribution
MM                      Various multiplicative multinomial probability
                        utilities
MM-package              The Multiplicative Multivariate distribution,
                        and the Multivariate Multiplicative Binomial
                        Distribution
NormC                   Normalizing constant for the multiplicative
                        multinomial
[.paras                 Extract or Replace parameters of a 'paras'
                        object
danaher                 Dataset due to Danaher
gunter                  Convert from multiple multivariate observations
                        to tabular form
multinomial             Multinomial function
optimizer               Maximum likelihood estimator for the MM
paras                   Manipulate a paras object
pollen                  Pollen data from Mosimann 1962
powell                  Dataset due to Powell (1990)
rMM                     Random samples from the multiplicative
                        multinomial
skellam                 Brassica Dataset due to Catcheside
suffstats               Sufficient statistics for the multiplicative
                        multinomial
sweets                  Synthetic dataset due to Hankin
voting                  Synthetic dataset of voting behaviour due to
                        Altham
wilson                  Housing Dataset due to Wilson

Author(s)

Robin K. S. Hankin and P. M. E. Altham

Maintainer: Robin K. S. Hankin <[e-mail]>

References

P. M. E. Altham 1978. “Two Generalizations of the Binomial Distribution”. Applied Statistics 27:162–167

P. M. E. Altham and Robin K. S. Hankin 2012. “Multivariate Generalizations of the Multiplicative Binomial Distribution: Introducing the MM Package”, Journal of Statistical Software, 46(12), 1-23. doi:10.18637/jss.v046.i12

Examples

data(voting)
Lindsey(voting, voting_tally)

jj <- paras(3)
rMM(10,4,jj)