Over the last 20 to 30 years, there has been a significant amount of tools and statistical methods that have been proposed for analyzing crash data. Yet, the Poisson-gamma (PG) is still the most commonly used and widely acceptable model. This paper documents the application of the Poisson-Weibull (PW) generalized linear model (GLM) for modeling motor vehicle crashes. The objectives of this stud...

Excess female mortality during childhood is a distinct and unrelieved phenomenon in India, particularly in the two northern Indian states— Punjab and Haryana. This paper investigates the basic facts of sex differentials in child mortality in a very comprehensive manner using the three rounds of NFHS data sets from 1992 to 2006. More specifically, this paper examines the following three basic qu...

(a) Obtain the expression for the deviance for comparison of the full model, which assumes a different µ i for each y i , with a reduced model defined by a Poisson GLM with link function g(·).

Presented are models for length of hospital stay data. The Hurdle model is an extension to the Poisson model when the data structure can be considered as two separate processes as was evident with the present case study. Hospital data was considered and collected as part of a larger study over a five year period. The Hurdle model appeared the most appropriate in terms of overall goodness of fit.

Modelling structured multivariate point process data has wide ranging applications like understanding neural activity, developing faster file access systems and learning dependencies among servers in large networks. In this paper, we develop the Poisson network model for representing multivariate structured Poisson processes. In our model each node of the network represents a Poisson process. T...

Nonhomogeneous Poisson processes (NHPPs) are often used to model recurrent events, and there is thus a need to check model fit for such models. We study the problem of obtaining exact goodness-of-fit tests for certain parametric NHPPs, using a method based on Monte Carlo simulation conditional on sufficient statistics. A closely related way of obtaining exact confidence intervals in parametri...

This paper develops a censored generalized Poisson regression model that can be used to predict a response variable that is a2ected by one or more explanatory variables. The censored generalized Poisson regression model is suitable for modeling count data that exhibit either overor under-dispersion. The regression parameters are estimated by the method of maximum likelihood and approximate test...