A Study on a Semiparametric Method to Point Source Modelling and its Application

Abstract

Diggle has been analysed point source problems, and he suggested a independent Poisson Process model for disease case and control with each intensity functions (1990). Also, Diggle and Rowlingson (1994) suggested a non-linear binary model for that bivariate poisson process model by conditioning case and control locations. By this method, they can extend a model to include several point sources and explanatory variables. Especially, Rodrigues, Diggle and Assucao (2009) suggested a semiparametric model as a Generalized Additive Model(GAM) to analyse point source effect in Epidemiology and Criminology. This paper introduces semiparametric approach for point source modelling and its application. Also, we apply that method to asthma data and compare its result to previous parametric result in 1994.