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Sequential Sampling Estimation for Finite Populations of N = nr Objects
Author(s) -
Arnold B. C.,
Groeneveld R. A.
Publication year - 1990
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.4710320203
Subject(s) - mathematics , estimator , statistics , statistic , sampling (signal processing) , population , estimation , variance (accounting) , sample size determination , finite set , set (abstract data type) , combinatorics , unbiased estimation , sample (material) , computer science , demography , mathematical analysis , physics , business , management , accounting , filter (signal processing) , sociology , economics , computer vision , thermodynamics , programming language
Random sampling from a finite population of size N = nr ( r known) is considered. The statistic observed is T k rnl , the number of observations required until the k th set of size l from the n sets of r is obtained. An asymptotically unbiased estimator of n is obtained together with its approximate variance. Recommendations are made for choices of r and l , based on the large sample expectation of T k rnl . An application in archeology to the estimation of the number of individuals originally present based on multiple bone counts is considered.