A Bayesian analysis of zero-inflated generalized Poisson model

Computational Statistics and Data Analysis

Volumn 42, Issue 1-2, 2003, Pages 37-46

  Angers, Jean François ^a   Biswas, Atanu ^b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Generalized Poisson model; Importance sampling; Monte Carlo integration; Predictive distribution; Zero inflated model; Zero inflated Poisson

Indexed keywords

DATA REDUCTION; MONTE CARLO METHODS;

BAYESIAN MODEL;

POISSON DISTRIBUTION;

BAYESIAN ANALYSIS;

EID: 0037454031     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(02)00154-8     Document Type: Article

References (20)

1. Cohen, A.C., 1960. Estimating the parameters of a modified Poisson distribution. J. Amer. Statist. Assoc. 55, 139-143.
2. Dahiya, R.C., Gross, A.J., 1973. Estimating the zero class from a truncated Poisson sample. J. Amer. Statist. Assoc. 68, 731-733.
3. Ghosh, S.K., Mukhopadhyay, P., Lu, J.-C., 1999. Bayesian analysis of zero-inflated regression models. Preprint.
4. Goraski, A., 1977. Distribution Z-Poisson. Publications de l'Institut de statistique de l'Université de Paris 12, 45-53.
5. Gupta, P.L., Gupta, R.C., Tripathi, R.C., 1996. Analysis of zero-adjusted count data. Comput. Statist. Data Anal. 23, 531-547.
6. Hasselblad, V., 1969. Estimation of finite mixtures of distributions from the exponential family. J. Amer. Statist. Assoc. 64, 1459-1471.
7. Heilborn, D.C., 1989. Generalized linear models for altered zero probabilities and over dispersion in count data. Technical Report, Department of Epidemeology and Biostatistics, University of California, San Francisco.
8. Heilborn, D.C., Gibson, D.R., 1990. Shared needle use and health beliefs concerning AIDS: regression modeling of zero-heavy count data. Poster session. Proceedings of the Sixth International Conference on AIDS, San Francisco, CA.
9. Johnson, N.L., Kotz, S., 1972. Distributions in Statistics: Continuous Multivariate Distribution. Wiley, New York.
10. Kemp, A.W., 1986. Weighted discrepancies and maximum likelihood estimation for discrete distribution. Commun. Statist. A-Theory and Methods 15, 783-803.
11. Kleinman, K.P., Ibrahim, J.G., 1998. A semiparametric Bayesian approach to the random effects model. Biometrics 54, 921-938.
12. Lambert, D., 1992. Zero inflated Poisson regression with an application to defects in manufacturing. Technometrics 34, 1-14.
13. Leroux, B.G., Puterman, M.L., 1992. Maximum-penalized likelihood estimation for independent and Markov-dependent mixture models. Biometrics 48, 545-558.
14. Li, C.S., Lu, J.C., Park, J., Kim, K.M., Brinkley, P.A., Peterson, J., 1999. A multivariate zero-inflated Poisson distribution and its inference. Technometrics 41, 29-38.
15. Martin, D.C., Katti, S.K., 1965. Fitting of some contagious distributions to some available data by the maximum likelihood method. Biometrics 21, 34-48.
16. Naylor, J.C., Smith, A.F.M., 1982. Applications of a method for the efficient computation of posterior distribution. Appl. Statist. 31, 214-225.
17. Saei, A., McGilchrist, C.A., 1997. Random threshold models applied to zero class data. Austral. J. Statist. 39, 5-16.
18. Singh, S.N., 1963. A note on inflated Poisson distribution. J. Indian Statist. Assoc. 1, 140-144.
19. Umbach, D., 1981. On inference for a mixture of Poisson and a degenerate distribution. Commun. Statist. A-Theory and Methods 10, 299-306.
20. Yip, P., 1988. Inference about the mean of a Poisson distribution in the presence of a nuisance parameter. Austral. J. Statist. 30, 299-306.