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Computational Statistics & Data Analysis
Volume 41, Issues 3-4, 28 January 2003, Pages 491-504
 
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doi:10.1016/S0167-9473(02)00187-1    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2002 Elsevier Science B.V. All rights reserved.

Finite Mixture, Zero-inflated Poisson and Hurdle models with application to SIDS

M. L. DalrympleCorresponding Author Contact Information, E-mail The Corresponding Author, a, I. L. Hudsona and R. P. K. Fordb

a Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand b Community Paediatric Unit, Christchurch Public Hospital, Christchurch, New Zealand

Received 1 February 2002; 
revised 1 March 2002. 
Available online 24 October 2002.

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Abstract

This study examines the incidence of sudden infant death syndrome (SIDS) in Canterbury (1973–1989) in relation to climate. Three mixture models (Finite Mixture, Zero-inflated Poisson and Hurdle) are used as novel methods which are able to highlight differential effects of climatic covariates between months of SIDS and no SIDS. These methods accommodate the extra zeros, heterogeneity and autocorrelation found in the SIDS series. Mixture models are comprehensive methods applicable to many discrete chronological series including the Canterbury SIDS data. This analysis leads to a better understanding of the association between climate and SIDS deaths.

Results show a deviance-temperature (a measure of extreme change from the fortnightly average) is significantly associated with SIDS risk (p<0.005). Months where there is a high deviance-temperature are associated with increased risk of SIDS, compared to months where the temperature has remained reasonably constant. This finding is consistent with the theory that hyperthermia, or overheating of infants leads to increased SIDS risk. In months where at least one SIDS death occurs, increased humidity leads to increased risk of SIDS (p<0.001).

Author Keywords: Mixture models; Heterogeneity; Excess zeros; Sudden infant death syndrome; Climate

Article Outline

1. Introduction
2. Canterbury SIDS and climate data
3. Poisson mixture model theory
3.1. Finite Mixture model
3.2. Zero-inflated Poisson model
3.3. Hurdle model
4. Parameter estimation and algorithms
4.1. Finite Mixture model
4.2. Zero-inflated Poisson model
4.3. Hurdle model
4.4. Model selection
5. Results: SIDS and climate application
6. Discussion
Acknowledgements
Appendix A. Estimation algorithms
A.1. Finite mixture model (Wang et al., 1998)
A.2. Zero-inflated Poisson model (Lambert, 1992)
References



 
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