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...

Dedicated to Professor Y. S. Chow on the Occasion of his 80th Birthday By Robert W. Keener and Wei Biao Wu Abstract Let Y have a symmetric Dirichlet multinomial distributions in R, and let Sm = h(Y1)+· · ·+h(Ym). We derive a central limit theorem for Sm as the sample size n and the number of cells m tend to infinity at the same rate. The rate of convergence is shown to be of order m. The approa...

Multinomial logistic regression provides the standard penalised maximumlikelihood solution to multi-class pattern recognition problems. More recently, the development of sparse multinomial logistic regression models has found application in text processing and microarray classification, where explicit identification of the most informative features is of value. In this paper, we propose a spars...

In accordance with Bengtson's model of intergenerational solidarity (e.g. Bengtson & Roberts, 1991), the interrelations between adult daughters' family values, their perception of the relationship quality with their parents, the support they reported to give to and to receive from their parents, and their perception of reciprocity in intergenerational support exchange were investigated for N = ...

There is a known connection between the multinomial and the Poisson likelihoods. This, in turn, means that a Poisson regression may be transformed into a logit model and vice versa. In this paper, I show the data transformations required to implement this transformation. Several examples are used as illustrations.

The aim of this research was to understand the strategic uses of e-business systems and technologies by classifying companies and particularly small and medium businesses according to demographics as well as e-business behavior variables.The study was based on data from a large quantitative survey of European E-business W@tch for the period 2007 using questionnaire interviews (N=409). We employ...