Premium
Estimation of Finite and Closed Population Size: An Inverse Sampling Approach with Unequal Recapture Probability
Author(s) -
Hossain Md. Forhad
Publication year - 1996
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710380408
Subject(s) - statistics , mathematics , mark and recapture , sampling (signal processing) , population , poisson sampling , estimator , population size , sample size determination , sample (material) , simple random sample , econometrics , importance sampling , monte carlo method , demography , slice sampling , computer science , chemistry , filter (signal processing) , chromatography , sociology , computer vision
Based on capture‐mark‐recapture sampling methods the problem of estimating unknown population size was considered. The sampling started with the assumption that at the beginning of the experiment all the individuals were unmarked, and the unmarked individuals caught in each sample will be marked and returned to the original population before the next sample is drawn. It is also assumed that the population is closed by birth, death, emigration and immigration. Using a general inverse sampling approach, the unknown population size N is estimated by a maximum likelihood estimator (MLE), and a simple form for approximate MLE is obtained. The probability function for S (the minimum number of samples required to be drawn to have L (L ≥ 1) samples, each of which contains at least one marked individual) and the form for E[S] are also obtained. In addition, corrections and improvements of some previous works in this field are given.