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Estimation of population size for additive–multiplicative models based on continuous‐time recapture experiments
Author(s) -
Wang Yan,
Yip Paul S. F.
Publication year - 2002
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.551
Subject(s) - mark and recapture , estimator , multiplicative function , population size , statistics , inference , population , mathematics , estimation , econometrics , computer science , artificial intelligence , demography , engineering , mathematical analysis , sociology , systems engineering
An additive–multiplicative model and a Horvitz–Thompson‐type estimator are proposed to estimate the unknown population size in a continuous‐time recapture experiment. The proposed inference about the model parameters of the capture intensity is similar to that of Lin and Ying (1995). However, the population size in a recapture experiment is not known and a modification is needed. Simulation results are given to assess the properties of the proposed estimators and the associated inference procedures. A set of recapture data for deer mice is presented to demonstrate the performance of the estimating procedure. Copyright © 2002 John Wiley & Sons, Ltd.