Abstract
We present the asymptotic distribution for an estimator of the population size for the case of s partially catchable populations. Our approach is useful for capture–recapture studies with photo-identification data where part of the population does not have any distinctive characteristic which allows unique identification of the individuals. This work represents an extension of Theorem 4 in Sanathanan (1972, The Annals of Mathematical Statistics, 43, 142–152).
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References
Alho J.M. (1990). Logistic regression in Capture–recapture models. Biometrics 46, 623–635
Buckland S.T. (1980). A modified analysis of the Jolly–Seber Capture–recapture model. Biometrics 36, 419–35
Buckland S.T., Garthwaite P.H. (1991). Quantifying precision of mark–recapture estimates using the bootstrap and related methods. Biometrics 47, 255–68
da Silva C.Q., Zeh J., Madigan D., Laake J., Rugh D., Baraff L., Koski W., Miller G. (2000). Capture–recapture estimation of bowhead whale population size using photo-identification data. Journal of Cetacean Research and Management 2, 45–61
Efron B. (1981). Nonparametric standard errors and confidence intervals. (With discussion). Canadian Journal of Statistics 9, 139–172
Huggins R.M. (1989). On the statistical analysis of capture experiments. Biometrika 76, 133–140
Huggins R.M. (1991). Some practical aspects of a conditional likelihood approach to capture experiments. Biometrics 47, 725–732
Rivest L.P., Potvin F., Crépeau H., Daigle G. (1995). Statistical methods for aerial surveys using double-count technique to correct visibility bias. Biometrics 51, 461–470
Sanathanan L. (1972). Estimating the size of a multinomial population. The Annals of Mathematical Statistics 43, 142–152
Schweder T. (2003). Abundance estimation from multiple photo surveys: confidence distributions and reduced likelihoods for bowhead whales off Alaska. Biometrics 59, 974–983
Sekar C.C., Deming W.E. (1949). On a method of estimating birth and death rates and the extent of registration. Journal of the American Statistical Association 44, 101–115
Seber G.A.F. (1982). The estimation of animal abundance and related parameters. 2nd edn. Charles Griffin and Company Ltd., London
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da-Silva, C.Q. Asymptotics for a Population Size Estimator of a Partially Uncatchable Population. AISM 59, 603–615 (2007). https://doi.org/10.1007/s10463-006-0065-5
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DOI: https://doi.org/10.1007/s10463-006-0065-5