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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 115–125 (Mi tvp2993)  

This article is cited in 2 scientific papers (total in 2 papers)

Estimation of necessary sample size for testing simple close hypotheses

È. V. Khmaladze

Institute of Economics and Law, Academy of Science, Georgian SSR
Full-text PDF (747 kB) Citations (2)
Abstract: Let $F_{1_n}$ and $F_{2_n}$ be the $n$-times direct products of distributions $F_1$ and $F_2$ correspondingly. The problem of estimation of necessary sample size for testing hypothesis $F_1$ against $F_2$ is represented as the problem of estimation $\nu=\min\{n\colon\operatorname{var}(F_{1_n},F_{2_n})\ge u=\mathrm{const}\}$. The upper and lower bounds for $\nu$ are given and, supposing $\operatorname{var}(F_{1_n},F_{2_n})\to0$, the asymptotically equivalent estimations for $\nu$ are described in terms of semigroups of limit distributions of $L=\sum\ln[dF_2(X_i)/dF_1(X_i)]$.
Received: 31.01.1974
English version:
Theory of Probability and its Applications, 1975, Volume 20, Issue 1, Pages 116–126
DOI: https://doi.org/10.1137/1120009
Bibliographic databases:
Language: Russian
Citation: È. V. Khmaladze, “Estimation of necessary sample size for testing simple close hypotheses”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 115–125; Theory Probab. Appl., 20:1 (1975), 116–126
Citation in format AMSBIB
\Bibitem{Khm75}
\by \`E.~V.~Khmaladze
\paper Estimation of necessary sample size for testing simple close hypotheses
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 1
\pages 115--125
\mathnet{http://mi.mathnet.ru/tvp2993}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=362658}
\zmath{https://zbmath.org/?q=an:0431.62051}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 20
\issue 1
\pages 116--126
\crossref{https://doi.org/10.1137/1120009}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
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