A nonparametric method of estimation of the population size in capture–recapture experiments
| Autor: | María Dolores Jiménez-Gamero, Pedro Puig |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Biometry Asymptotic distribution Empirical probability Poisson distribution 01 natural sciences Upper and lower bounds Statistics Nonparametric 010104 statistics & probability 03 medical and health sciences symbols.namesake 0302 clinical medicine Applied mathematics Poisson Distribution 030212 general & internal medicine 0101 mathematics Probability Mathematics Population Density Strong consistency Generating function Nonparametric statistics Estimator General Medicine symbols Statistics Probability and Uncertainty |
| Zdroj: | Biometrical Journal. 62:970-988 |
| ISSN: | 1521-4036 0323-3847 |
| Popis: | A recent method for estimating a lower bound of the population size in capture-recapture samples is studied. Specifically, some asymptotic properties, such as strong consistency and asymptotic normality, are provided. The introduced estimator is based on the empirical probability generating function (pgf) of the observed data, and it is consistent for count distributions having a log-convex pgf ( LC -class). This is a large family that includes mixed and compound Poisson distributions, and their independent sums and finite mixtures as well. The finite-sample performance of the lower bound estimator is assessed via simulation showing a better behavior than some close competitors. Several examples of application are also analyzed and discussed. |
| Databáze: | OpenAIRE |
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