The analysis of air-passengers’ choices of departure airport in multi-airport regions is a crucial component of transportation planning in many large metropolitan areas, and has been the topic of an increasing number of studies over recent years. In this paper, we advance the state of the art of modelling in this area of research by making use of a Cross-Nested Logit (CNL) structure that allows...

We consider the case of age-specific ring-recovery data obtained only from recovered individual birds and modelled by conditioning a multinomial distribution on the recovery. These models may be appealing when the information about the numbers of marked individuals is missing but they are often analysed by ignoring a large set of nuisance parameters, the recovery rates. We investigate what are ...

Household vehicle ownership is a critical demographic characteristic influencing many aspects of travel demand. Using the 1995 NPTS data set, this research proposes a multivariate negative binomial model to investigate households’ distinctions in vehicle purchases among passenger cars, SUVs, pickups, and minivans. This model structure is capable of capturing unobserved heterogeneity across the ...

The ability to simulate correlated binary data is important for sample size calculation and comparison of methods for analysis of clustered and longitudinal data with dichotomous outcomes. One available approach for simulating length n vectors of dichotomous random variables is to sample from the multinomial distribution of all possible length n permutations of zeros and ones. However, the mult...

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...

Categorical data frequently arise in applications in the social sciences. In such applications,the class of log-linear models, based on either a Poisson or (product) multinomial response distribution, is a flexible model class for inference and prediction. In this paper we consider the Bayesian analysis of both Poisson and multinomial log-linear models. It is often convenient to model multinomi...