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Small Sample Bias and Variance of Lincoln‐Petersen and Bailey Estimators
Author(s) -
Bonett D. G.
Publication year - 1988
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.4710300615
Subject(s) - estimator , statistics , mathematics , population variance , variance (accounting) , minimum variance unbiased estimator , bias of an estimator , econometrics , consistent estimator , economics , accounting
The Lincoln‐Petersen and Bailey estimators of an unknown population size were compared in a computer simulation of capture‐recapture sampling with replacement from small populations. The Bailey estimator was negatively biased and had smaller variance than the Petersen estimator. The Petersen estimator tended to be positively biased. The Lincoln‐Petersen variance estimator tended to be positively biased while the Bailey variance estimator was negatively biased.