In this paper we present statistical models for text which treat words with higher frequencies of occurrence in a sensible manner, and perform better than widely used models based on the multinomial distribution on a wide range of classification tasks, with two or more classes. Our models are based on the Poisson and Negative-Binomial distributions, which keep desirable properties of simplicity...

Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.

The probability density function of a multiparameter multinomial distribution can be expressed in terms of the permanent of a suitable matrix. This fact and certain results on conditionally negative definite matrices are used to prove a conjecture due to Karlin and Rinott.

A generic random effects formulation for the Dirichlet negative multinomial distribution is developed together with a convenient regression parameterization. A simulation study indicates that, even when somewhat misspecified, regression models based on the Dirichlet negative multinomial distribution have smaller median absolute error than generalized estimating equations, with a particularly pr...

A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to the Dirichlet family.

In this paper, the posterior density of the log-odds ratio is studied. It is assumed that the observations have a multinomial distribution and that the prior on the multinomial parameters is a Dirichlet density. Several approximations currently available are reviewed. When the prior parameters of the Dirichlet density are integers, it is shown that the posterior moments can be computed exactly....

Consider the observation of n iid realizations of an experiment with d ≥ 2 possible outcomes, which corresponds to a single observation of a multinomial distribution Md(n, p) where p is an unknown discrete distribution on {1, . . . , d}. In many applications in Biology, Medicine, Physics, and Engineering, the construction of a confidence region for p when n is small is crucial. This challenging...

In this paper we present statistical models for text which treat words with higher frequencies of occurrence in a sensible manner, and perform better than widely used models based on the multinomial distribution on a wide range of classification tasks, with two or more classes. Our models are based on the Poisson and Negative-Binomial distributions, which keep desirable properties of simplicity...

a r t i c l e i n f o Modeling of transportation mode choices has in the past primarily dealt with everyday short-distance travel and long-distance business travel. The present paper adds to this research in examining the long-distance transportation mode choices of tourists. The empirical setting is the domestic tourism market in Norway, and the analyses refer to Norwegians' winter vacation tr...