Premium
Semiparametric zero‐inflated Poisson models with application to animal abundance studies
Author(s) -
Chiogna Monica,
Gaetan Carlo
Publication year - 2007
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.830
Subject(s) - zero inflated model , poisson regression , econometrics , mathematics , statistics , poisson distribution , abundance (ecology) , semiparametric model , semiparametric regression , zero (linguistics) , count data , regression analysis , ecology , nonparametric statistics , population , biology , linguistics , demography , philosophy , sociology
This paper describes a framework for flexibly modeling zero‐inflated data. Semiparametric regression based on penalized regression splines for zero‐inflated Poisson models is introduced. Moreover, an EM‐type algorithm is developed to perform maximum likelihood estimation. As an illustration, a study of animal abundance is tackled. In fact, abundance often shows excess of zeroes and is a complicated function of the explanatory variables. In particular, the relationships between avian abundance and environmental variables indicating land use are tackled. Copyright © 2007 John Wiley & Sons, Ltd.