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Diskretnaya Matematika, 1991, Volume 3, Issue 3, Pages 73–88 (Mi dm806)  

Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests

G. I. Ivchenko, Sh. A. Mirakhmedov
Abstract: We obtain new results on asymptotic expansions in a central limit theorem for decomposable statistics in a generalized allocation scheme and consider applications of these results to the study of the asymptotic efficiency of statistical tests in a multinomial scheme that is based on symmetric decomposable statistics.
Received: 16.04.1990
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: G. I. Ivchenko, Sh. A. Mirakhmedov, “Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests”, Diskr. Mat., 3:3 (1991), 73–88; Discrete Math. Appl., 2:5 (1992), 547–562
Citation in format AMSBIB
\Bibitem{IvcMir91}
\by G.~I.~Ivchenko, Sh.~A.~Mirakhmedov
\paper Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests
\jour Diskr. Mat.
\yr 1991
\vol 3
\issue 3
\pages 73--88
\mathnet{http://mi.mathnet.ru/dm806}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1138093}
\zmath{https://zbmath.org/?q=an:0787.62019|0762.62005}
\transl
\jour Discrete Math. Appl.
\yr 1992
\vol 2
\issue 5
\pages 547--562
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