TITLE:
Zero Truncated Bivariate Poisson Model: Marginal-Conditional Modeling Approach with an Application to Traffic Accident Data
AUTHORS:
Rafiqul I. Chowdhury, M. Ataharul Islam
KEYWORDS:
Bivariate Poisson, Conditional Model, Generalized Linear Model, Marginal Model, Road Safety Data, Zero-Truncated
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.14,
August
25,
2016
ABSTRACT: A new covariate dependent zero-truncated
bivariate Poisson model is proposed in this paper employing generalized linear
model. A marginal-conditional approach is used to show the bivariate model. The
proposed model with estimation procedure and tests for goodness-of-fit and
under (or over) dispersion are shown and applied to road safety data. Two
correlated outcome variables considered in this study are number of cars
involved in an accident and number of casualties for given number of cars.