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

Computational Statistics and Data Analysis

Volumn 41, Issue 3-4, 2003, Pages 491-504

  Dalrymple, M L ^a   Hudson, I L ^a   Ford, R P K ^b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b CHRISTCHURCH HOSPITAL   (New Zealand)

Author keywords

Climate; Heterogeneity Excess zeros; Mixture models; Sudden infant eath syndrome

Indexed keywords

ATMOSPHERIC HUMIDITY; CORRELATION METHODS; HYPERTHERMIA THERAPY; MATHEMATICAL MODELS;

COMPUTATIONAL STATISTICS;

DATA REDUCTION;

NUMERICAL MODEL;

EID: 0037469116     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(02)00187-1     Document Type: Article

References (21)

1. Böhning, D., Dietz, E., Schlattmann, P., 1999. The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology. J. Roy. Statist. Soc. Ser. A 162, 195-209.
2. Cameron, A., Trivedi, P., 1998. Regression Analysis of Count Data. Cambridge University Press, Cambridge.
3. Campbell, M., 1989. Sudden infant death syndrome and environmental temperature: further evidence for a time-lagged relationship Med. J. Austral. 151, 365-367.
4. Dalrymple, M., Hudson, I., Barnett, A. 2001. Survival, block bootstrap and mixture methods for detecting change points in discrete time series data with application to SIDS. In: Klein, B., Karsholm, L. (Eds.), New Trends in Statistical Modelling: Proceedings of the 16th International Workshop on Statistical Modelling, Odense, Denmark pp. 135-146.
5. Dietz, E., Böhning, D., 2000. On estimation of the Poisson parameter in zero-modified Poisson models. Comput. Statist. Data Anal. 34, 441-460.
6. Gilman, E., Cheng, K., et al., 1995. Trends in rates and seasonal distribution of sudden infant deaths in England and Wales, 1988-1992. Br. Med. J. 310, 631-632.
7. Johnson, N., Kotz, S., 1969. Distributions in Statistics: Discrete Distributions. Houghton Miffin, Boston.
8. Knobel, H.H., Chen, D., Liang, K., 1995. Sudden infant death syndrome in relation to weather and optimetrically measured air pollution in Taiwan. Pediatrics 96 (6), 1106-1110.
9. Lambert, D., 1992. Zero-inflated Poisson regression with an application to defects in manufacturing. Technometrics 34 (1), 1-14.
10. Malloy, M.H., Freeman, D.H., 2000. Birth weight-and gestational age-specific sudden infant death syndrome mortality: United States, 1991 versus 1995. Pediatrics 105 (6), 1227-1231.
11. Mitchell, E.A., Brunt, J.M., Everard, C., 1994. Reduction in mortality from sudden infant death syndrome in New Zealand: 1986-92. Arch. Dis. Child. 70, 291-294.
12. Mitchell, E.A., Clements, M., et al., 1999. Seasonal differences in risk factors for sudden infant death syndrome. Acta Paediatr. 88, 253-258.
13. Mitchell, E.A., Taylor, B.J., et al., 1992. Four modifiable and other major risk factors for cot death: the New Zealand study J. Paediatr. Child Health 28 (Suppl. 1), S3-S8.
14. Nash, J.C., 1990. Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation. Adam Hilger, Bristol.
15. Rothman, K.J., 1986. Modern Epidemiology. Little Brown, Boston.
16. Schlattmann, P., Dietz, E., Böhning, D., 1996. Covariate adjusted mixture models and disease mapping with the program Dismap Win. Statist. Med. 15, 919-929.
17. Schluter, P.J., Ford, R.P.K., et al., 1998. Weather temperatures and sudden infant death syndrome: a regional study over 22 Years in New Zealand J. Epidemiol. Community Health 52, 27-33.
18. Wang, P., Puterman, M.L., Cockburn, I., Le, N., 1996. Mixed Poisson regression models with covariate dependent rates. Biometrics 52, 381-400.
19. Wang, P., Puterman, M.L., Cockburn, I., 1998. Analysis of patent data - a mixed-Poisson-regression-model approach. J. Business Econom. Statist. 16 (1), 27-41.
20. Wells, J.C., 1997. Can risk factors for over-heating explain epidemiological features of sudden infant death syndrome. Med. Hypotheses 48 (2), 103-106.
21. Welsh, A.H., Cunningham, R.B., et al., 1996. Modelling the abundance of rare species: statistical models for counts with extra zeros Ecol. Modelling 88, 297-308.