Zero-inflated poisson regression, with an application to defects in manufacturing

Technometrics

Volumn 34, Issue 1, 1992, Pages 1-14

  Lambert, Diane ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

EM algorithm; Negative binomial; Overdispersion; Positive Poisson; Quality control

Indexed keywords

MATHEMATICAL TECHNIQUES; QUALITY CONTROL;

EM ALGORITHM; MANUFACTURING DEFECTS; MAXIMUM LIKELIHOOD ESTIMATES; NEGATIVE BINOMIAL; OVERDISPERSION; ZERO-INFLATED POISSON REGRESSION;

STATISTICAL METHODS;

EID: 0026821975     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1992.10485228     Document Type: Article

References (15)

1. Becker, R. A., Chambers, J. M., and Wilks, A. R. (1988), The New S Language, Pacific Grove, CA: Wadsworth & Brooks/Cole.
2. Chambers, J. M. (1977), Computational Methods for Data Analysis, New York: John Wiley.
3. Chambers, J. M., and Hastie, T. (eds.) (1992), Statistical Models in S, Pacific Grove, CA: Wadsworth & Brooks/Cole.
4. Cohen, A. C. (1963), “Estimation in Mixtures of Discrete Distributions,” in Proceedings of the International Symposium on Discrete Distributions, Montreal, pp. 373-378.
5. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), “Maximum Likelihood Estimation From Incomplete Data via the EM Algorithm” (with discussion), Journal of the Royal Statistical Society, Ser. B, 39, 1-38.
6. Farewell, V. T. (1986), “Mixture Models in Survival Analysis: Are They Worth the Risk?” Canadian Journal of Statistics, 14, 257-262.
7. Feuerverger, A. (1979), “On Some Methods of Analysis for Weather Experiments,” Biometrika, 66, 665-668.
8. Gay, D. M. (1983), “ALGORITHM 611-Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach,” ACM Transactions on Mathematical Software, 9, 503- 524.
9. Green, P.I. (1984), “Iteratively Reweighted Least-Squares for Maximum Likelihood Estimation and Some Robust and Resistant Alternatives” (with discussion), Journal of the Royal Statistical Society, Ser. B, 46, 149-192.
10. Heilbron, D. C. (1989), “Generalized Linear Models for Altered Zero Probabilities and Overdispersion in Count Data,” unpublished technical report, University of California, San Francisco, Dept. of Epidemiology and Biostatistics.
11. Johnson, N. L., and Kotz, S. (1969), Distributions in Statistics: Discrete Distributions, Boston: Houghton Mifflin.
12. McCullagh, P. (1983), “Quasi-likelihood Functions,” The Annals of Statistics, 11, 59-67.
13. McCullagh, P., and Nelder, J. A. (1989). Generalized Linear Models, New York: Chapman and Hall.
14. Meeker, W. Q. (1987). “Limited Failure Population Life Tests: Application to Integrated Circuit Reliability,” Technomerrics, 29, 51-65.
15. Wu, C. F. J. (1983), “On the Convergence Properties of the FM Algorithm,” The Annals of Statistics, 11, 95-103.