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Teoriya Veroyatnostei i ee Primeneniya, 1966, Volume 11, Issue 2, Pages 320–330
(Mi tvp627)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
Minimum sufficient statistics for a sequence of independent random variables
O. G. Zhuravlev
Abstract:
A connection between minimum sufficient statistics and the density function of a sequence of independent random variables is found. The main result is contained in theorem 3 where the importance of exponential families of distributions (1) for decreasing the dimension of a minimum sufficient statistic is established.
Received: 31.03.1965
Citation:
O. G. Zhuravlev, “Minimum sufficient statistics for a sequence of independent random variables”, Teor. Veroyatnost. i Primenen., 11:2 (1966), 320–330; Theory Probab. Appl., 11:2 (1966), 282–291
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https://www.mathnet.ru/eng/tvp627 https://www.mathnet.ru/eng/tvp/v11/i2/p320
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