Abstract:
A survey of recent advances in the problem of estimating the structure of
a finite population is given. We include into the survey the results
closely connected with the allocation problem and consider
both homogeneous and stratified populations. A comparative
analysis of the results obtained by using sufficiency and likelihood
principles is carried out for a general sampling scheme. The asymptotical
approach is also presented. The optimal (asymptotically optimal) inferences
for both point and confidential estimation are the main object of the article.
Possible extensions of the investigations in this area are also discussed.
Received: 05.01.1995
Bibliographic databases:
UDC:519.7
Language: Russian
Citation:
G. I. Ivchenko, S. A. Khonov, “Statistical estimation of the composition of a finite set”, Diskr. Mat., 8:1 (1996), 3–40; Discrete Math. Appl., 6:1 (1996), 1–39
\Bibitem{IvcKho96}
\by G.~I.~Ivchenko, S.~A.~Khonov
\paper Statistical estimation of the composition of a finite set
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 1
\pages 3--40
\mathnet{http://mi.mathnet.ru/dm511}
\crossref{https://doi.org/10.4213/dm511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1388381}
\zmath{https://zbmath.org/?q=an:0845.62010}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 1
\pages 1--39
Linking options:
https://www.mathnet.ru/eng/dm511
https://doi.org/10.4213/dm511
https://www.mathnet.ru/eng/dm/v8/i1/p3
This publication is cited in the following 1 articles:
G. I. Ivchenko, S. A. Khonov, E. A. Ivanov, “Exact maximum likelihood estimator of the structure of a stratified population”, Math. Notes, 62:2 (1997), 181–185
Citation in format AMSBIB
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