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Theory & Methods: A parametric empirical Bayes approach to the analysis of capture‐recapture experiments
Author(s) -
Huggins Richard M.
Publication year - 2002
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00207
Subject(s) - bayes' theorem , mathematics , estimator , parametric statistics , independent and identically distributed random variables , statistics , mark and recapture , parametric model , econometrics , population , bayesian probability , random variable , demography , sociology
Empirical Bayes methods and a bootstrap bias adjustment procedure are used to estimate the size of a closed population when the individual capture probabilities are independently and identically distributed with a Beta distribution. The method is examined in simulations and applied to several well‐known datasets. The simulations show the estimator performs as well as several other proposed parametric and non‐parametric estimators.