An estimating function approach to the inference of catch-effort models

作者: Anne Chao , Shu-Hui Chang

DOI: 10.1023/A:1009687514770

关键词:

摘要: A class of catch-effort models, which allows for heterogeneous removal probabilities, is proposed closed populations. The model includes three types probabilities: multiplicative, Poisson and logistic. usual generalized models then become special cases. equivalence the a type capture-recapture discussed. unified estimating function approach used to estimate initial population size. For homogeneous model, resulting size estimator based on optimal functions asymptotically equivalent maximum likelihood estimator. One advantage our that it can be extended handle populations in estimators do not exist. bootstrap method applied construct variance confidence intervals. We illustrate by two real data examples. Results simulation study investigating performance estimation procedure are presented.

参考文章(29)
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
John N. Darroch, Stephen E. Fienberg, Gary F. V. Glonek, Brian W. Junker, A Three-Sample Multiple-Recapture Approach to Census Population Estimation with Heterogeneous Catchability Journal of the American Statistical Association. ,vol. 88, pp. 1137- 1148 ,(1993) , 10.1080/01621459.1993.10476387
Stephen T. Buckland, Paul H. Garthwaite, Quantifying Precision of Mark-Recapture Estimates Using the Bootstrap and Related Methods Biometrics. ,vol. 47, pp. 255- 268 ,(1991) , 10.2307/2532510
Bruce G. Lindsay, Kathryn Roeder, A Unified Treatment of Integer Parameter Models Journal of the American Statistical Association. ,vol. 82, pp. 758- 764 ,(1987) , 10.1080/01621459.1987.10478496
Jeffrey H. Gove, Ernst Linder, Walter M. Tzilkowski, Bimodality of the combined removal and signs-of-activities estimator for sampling closed animal populations Environmental and Ecological Statistics. ,vol. 3, pp. 65- 80 ,(1996) , 10.1007/BF00577323
G. A. F. Seber, J. F. Whale, The removal method for two and three samples. Biometrics. ,vol. 26, pp. 393- 400 ,(1970) , 10.2307/2529096
Lalitha Sanathanan, Estimating the Size of a Truncated Sample Journal of the American Statistical Association. ,vol. 72, pp. 669- 672 ,(1977) , 10.1080/01621459.1977.10480634
L. B. Slobodkin, W. E. Ricker, Handbook of computations for biological statistics of fish populations Copeia. ,vol. 1960, pp. 385- ,(1960) , 10.2307/1439791
Lalitha Sanathanan, ESTIMATING THE SIZE OF A MULTINOMIAL POPULATION Annals of Mathematical Statistics. ,vol. 43, pp. 142- 152 ,(1972) , 10.1214/AOMS/1177692709