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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 604–611 (Mi tvp2939)  

Short Communications

On families of distributions with location parameter admitting a sufficient statistic of rank not greater that two

L. B. Klebanov, A. L. Rukhin

Leningrad
Abstract: The paper investigates statistical properties of distributions with a sufficient statistic of rank one or two for location parameter. It is shown that, for these laws, confidence intervals of constant length for this parameter are of a very simple form, and that this fact is a characteristical one.
Received: 26.02.1973
English version:
Theory of Probability and its Applications, 1975, Volume 19, Issue 3, Pages 577–584
DOI: https://doi.org/10.1137/1119065
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. B. Klebanov, A. L. Rukhin, “On families of distributions with location parameter admitting a sufficient statistic of rank not greater that two”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 604–611; Theory Probab. Appl., 19:3 (1975), 577–584
Citation in format AMSBIB
\Bibitem{KleRuk74}
\by L.~B.~Klebanov, A.~L.~Rukhin
\paper On families of distributions with location parameter admitting a~sufficient statistic of rank not greater that two
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 3
\pages 604--611
\mathnet{http://mi.mathnet.ru/tvp2939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=356315}
\zmath{https://zbmath.org/?q=an:0314.62004}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 19
\issue 3
\pages 577--584
\crossref{https://doi.org/10.1137/1119065}
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