Open AccessEstimation of the sample size required for obtaining given sample coverage
Author(s) -
Mihhail Juhkam,
P Kalev
Publication year - 2008
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2008.12.08
Subject(s) - sample size determination , sample (material) , sequence (biology) , monte carlo method , statistics , sampling (signal processing) , estimation , computer science , population , population size , mathematics , engineering , biology , demography , filter (signal processing) , sociology , computer vision , genetics , chemistry , systems engineering , chromatography
We consider sampling from populations with large number of classes. The problem is to disclose a sufficiently big number of classes,which represent a dominating part of population (e.g. 99%). In many applications, e.g. in genetics, disclosure of all classes is not necessary, since it can require a very large sample and, hence, is too costly. In this paper we propose a method for estimation of the sample size, necessary to achieve a given sample coverage. We apply the method to populations where the class probabilities are the members of a geometric sequence. A Monte Carlo study demonstrates that the method we propose gives good results for values if the common ratio of the sequence is not too close to 1.