Inference for capture-recapture experiments in continuous time with variable capture rates

Biometrika

Volumn 83, Issue 2, 1996, Pages 477-483

  Yip, Paul S F ^a   Huggins, Richard M ^b   Lin, D Y ^c  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b LA TROBE UNIVERSITY   (Australia)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Capture recapture experiment; Covariate; Martingale; Partial likelihood

Indexed keywords

EID: 0001098823     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/83.2.477     Document Type: Article

References (15)

1. ANDERSEN, P. K. & GILL, R. D. (1982). Cox's regression model for counting processes: a large sample study. Ann. Statist. 10, 1100-20.
2. ANDERSEN, P. K., BORGAN, Ø., GILL, R. D. & KEIDING, N. (1993). Statistical Models Based on Counting Process. New York: Springer-Verlag.
3. BURNHAM, K. P. & OVERTON, W. S. (1978). Estimating of the size of a closed population when capture probabilities vary among animals. Biometrika 65, 625-33.
4. CAROTHERS, A. D. (1973). The effects of unequal catchability on Jolly-Seber estimates. Biometrics 29, 79-100.
5. CHAO, A. & LEE, S. M. (1992). Estimating the number of classes via sample coverage. J. Am. Statist. Assoc. 87, 210-1.
6. GILBERT, R. O. (1973). Approximation of the bias in the Jolly-Seber capture and recapture model. Biometrics 29, 501-26.
7. GILL, R. D. (1984). Understanding Cox's regression model: a martingale approach. J. Am. Statist. Assoc. 79, 441-7.
8. HORVITZ, D. G. & THOMPSON, D. J. (1952). A generalization of sampling without replacement from a finite universe. J. Am. Statist. Assoc. 47, 663-85.
9. HUGGINS, R. M. (1989). On the statistical analysis of capture experiments. Biometrika 76, 133-40.
10. LEE, S. M. & CHAO, A. (1994). Estimating population size via sample coverage for closed capture-recapture models. Biometrics 50, 88-97.
11. MANLY, B. F. J. (1970). A simulation study of animal population estimation using the capture-recapture method. J. Appl. Ecol. 7, 13-39.
12. OITS, D. L., BURHNAM, K. P., WHITE, G. C. & ANDERSON, D. R. (1978). Statistical inference from capture data on closed animal populations. Wildlife Monograph 62, Washington, D.C.: The Wildlife Soc.
13. POLLOCK, K. H. (1993). Modeling capture, recapture and removal statistics for estimation of demographic parameters for fish and wildlife populations: past, present and future. J. Am. Statist. Assoc. 86, 225-38.
14. SEBER, G. A. F. (1982). The Estimation of Animal Abundance, 2nd ed. New York: Macmillan.
15. YIP, P. (1991). An inference procedure for a capture-recapture experiment in discrete time with variable capture probabilities. Stoch. Mod. 7, 343-62.