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ESTIMATING POPULATION SIZE FROM CAPTURE‐RECAPTURE EXPERIMENTS IN CONTINUOUS TIME
Author(s) -
Becker Niels G.
Publication year - 1984
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1984.tb01261.x
Subject(s) - mark and recapture , population size , statistics , population , mathematics , homogeneous , standard error , simple (philosophy) , computation , sample size determination , econometrics , algorithm , demography , combinatorics , sociology , philosophy , epistemology
Summary Estimates for the size of a closed population are given for multiple recapture studies in continuous time. The estimates are derived by a method of moments for martingales. An estimate and associated standard error of the population size are derived for a homogeneous population when the capture rates are permitted to depend on time in an unspecified manner. Corresponding results are obtained when the capture rates vary among individuals as well. Explicit expressions are given for these estimates and standard errors which involve only simple computation.