The q-beta-geometric distribution as a model for fecund ability

Communications in Statistics - Theory and Methods

Volumn 30, Issue 11, 2001, Pages 2373-2384

  Kemp, Adrienne W ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

Beta geometric distribution; Cycle specific conception rate; Cycles to conception; Hazard rate; Q beta mixture; Q beta geometric distribution; Sterility rate; Waring distribution

Indexed keywords

EID: 33744859269     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-100107692     Document Type: Article

References (12)

1. Weinberg, C. R.; Gladen, B. C. The beta-geometric distribution applied to comparitive fecundability studies. Biometrics, 1986, 42, 547-560.
2. Griffiths, D. A. Maximum likelihood estimation for the beta-binomial distribution and an application to the household distribution of the total number of cases. Biometrics, 1973, 29, 637-648.
3. Miller, A. J. A queueing model for road traffic flow, Journal of the Royal Statistical Society, Series B, 1961, 23, 64-90.
4. Pielou, E. C. Runs of one species with respect to another in transects through plant populations, Biometrics, 1962, 18, 579-593.
5. Irwin, J. O. The place of mathematics in medical and biological statistics, Journal of the Royal Statistical Society, Series A, 1963, 726, 1-44.
6. Irwin, J. O. The generalized Waring distribution, Parts I, II, and III, Journal of the Royal Statistical Society, Series A, 1975, 138, 18-31, 204-227, 374-384.
7. Xekalaki, E. Chance mechanisms for the generalized Waring distribution and related characterizations, Statistical Distributions in Scientific Work, 4: Models, Structures, and Characterizations, C. Taillie, G. P. Patil, and B. A. Baldcssari (editors), 1981, 157-172. Reidel, Dordrecht.
8. Xekalaki, E. Hazard functions and life distributions in discrete time, Communications in Statistics-Theory and Methods, 1983, 12, 2503-2509.
9. Wimmer, G.; Altmann, G. Thesaurus of Univariate Discrete Probability Distributions. Stamm Verlag, Essen, 1999.
10. Baird, D. D.; Wilcox, A. J. Cigarette smoking associated with delayed conception. Journal of the American Medical Association, 1985, 253, 2979-2983.
11. Ridout, M. S.; Morgan, B. J.T. Modelling digit preference in fecundability studies. Biometrics, 1991, 47, 1423-1433.
12. Gasper, G.; Rahman, M. Basic Hypergeometric Series. C.U.P., Cambridge, 1990.