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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 3, Pages 646–648
(Mi tvp2735)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
When has a quadratic statistics a constant regression on the sample mean?
L. B. Klebanov Leningrad
Abstract:
Let $x_1,\dots,x_n$ be independent identically distributed non-degenerate random variables with finite second moment. Let $Q$ be a quadratic statistics with real coefficients and $\Lambda=x_1+\dots+x_n$. The condition $\mathbf E(Q\mid\Lambda)=\mathbf EQ$ is studied.
Received: 05.10.1978
Citation:
L. B. Klebanov, “When has a quadratic statistics a constant regression on the sample mean?”, Teor. Veroyatnost. i Primenen., 24:3 (1979), 646–648; Theory Probab. Appl., 24:3 (1980), 649–651
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https://www.mathnet.ru/eng/tvp2735 https://www.mathnet.ru/eng/tvp/v24/i3/p646
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