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Teoriya Veroyatnostei i ee Primeneniya, 1959, Volume 4, Issue 1, Pages 101–105 (Mi tvp4866)  
Short Communications

On a Class of Optimal Decision Functions for a Binomial Family of Distributions

I. N. Kovalenko

Kiev
Full-text PDF (584 kB)
Abstract: Resolving functions are described that minimize the weighted sum of errors of the first and second kind for $p=p_1,p_2$ and the mathematical expectation of a number of sequential tests for $p=p_0$ ($p_1< p_0< p_2$).
Received: 15.06.1958
English version:
Theory of Probability and its Applications, 1959, Volume 4, Issue 1, Pages 95–99
DOI: https://doi.org/10.1137/1104006
Document Type: Article
Language: Russian
Citation: I. N. Kovalenko, “On a Class of Optimal Decision Functions for a Binomial Family of Distributions”, Teor. Veroyatnost. i Primenen., 4:1 (1959), 101–105; Theory Probab. Appl., 4:1 (1959), 95–99
Citation in format AMSBIB
\Bibitem{Kov59}
\by I.~N.~Kovalenko
\paper On a Class of Optimal Decision Functions for a Binomial Family of Distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 1959
\vol 4
\issue 1
\pages 101--105
\mathnet{http://mi.mathnet.ru/tvp4866}
\transl
\jour Theory Probab. Appl.
\yr 1959
\vol 4
\issue 1
\pages 95--99
\crossref{https://doi.org/10.1137/1104006}
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