Moments of the Negative Multinomial Distribution

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution

Mixtures, Compounds and Inflations of Negative Multinomial Distribution

Approximating negative and harmonic mean moments for the Poisson distribution

Asymptotic expansions and the related approximations are constructed for the negative moments of the Poisson distribution and the moments of the harmonic mean of independent and identically distributed (i.i.d.) Poisson random variable (r.v.). The accuracy of the approximations are assessed and applications to multi-centre clinical trials are outlined.

The multinomial distribution on rooted labeled forests

For a probability distribution (ps; s 2 S) on a nite set S, call a random forest F of rooted trees labeled by S (with edges directed away from the roots) a p-forest if given F has m edges the vector of out-degrees of vertices of F has a multinomial distribution with parameters m and (ps; s 2 S), and given also these out-degrees the distribution of F is uniform on all forests with the given out-...

Parameter Estimation for the Dirichlet-Multinomial Distribution

In the 1998 paper entitled Large Cluster Results for Two Parametric Multinomial Extra Variation Models, Nagaraj K. Neerchal and Jorge G. Morel developed an approximation to the Fisher information matrix used in the Fisher Scoring algorithm for finding the maximum likelihood estimates of the parameters of the Dirichlet-multinomial distribution. They performed simulation studies comparing the res...