The spectral decomposition and inverse of multinomial and negative multinomial covariances

Bayesian analysis of finite mixtures of multinomial and negative-multinomial distributions

The Bayesian implementation of finite mixtures of distributions has been an area of considerable interest within the literature. Computational advances on approximation techniques such as Markov chain Monte Carlo (MCMC) methods have been a keystone to Bayesian analysis of mixture models. This paper deals with the Bayesian analysis of finite mixtures of two particular types of multidimensional d...

A Multinomial Ordinal Probit Model with Singular Value Decomposition Method for a Multinomial Trait.

We developed a multinomial ordinal probit model with singular value decomposition for testing a large number of single nucleotide polymorphisms SNPs simultaneously for association with multidisease status when sample size is much smaller than the number of SNPs. The validity and performance of the method was evaluated via simulation. We applied the method to our real study sample recruited thro...

Rao ’ S Distance for Negative Multinomial Distributions

SUMMARY. Rao (1945) proposed a method, based on Fisher's information matrix, for measuring distance between distributions of a parametric family satisfying certain regularity conditions. In this paper, Rao's (1945) method is applied to obtain the distance between two negative multinomial distributions. Some other properties are discussed too.

Negative Binomial and Multinomial States: probability distributions and coherent states

Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the su(2) coherent states, we propose interpretation of su(1, 1) and su(r, 1) coherent states in terms of probability theory. They will be called the negative binomial (mul...

Mixtures, Compounds and Inflations of Negative Multinomial Distribution