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Teoriya Veroyatnostei i ee Primeneniya, 1966, Volume 11, Issue 3, Pages 500–506
(Mi tvp646)
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This article is cited in 11 scientific papers (total in 11 papers)
Short Communications
Some inequalities for characteristic functions
S. M. Sadikova Moscow Engineering Physics Institute
Abstract:
Let $A$ be an oval on a plane and $P$ the uniform distribution over $A$ with characteristic function $f$. In the first part of this note an inequality for $|f|$ is given. In the second part some inequalities for joint characteristic function of $\xi$ and some functions of $\xi$ are established.
The main tool used is the so-called Van der Corput lemma.
Received: 16.05.1966
Citation:
S. M. Sadikova, “Some inequalities for characteristic functions”, Teor. Veroyatnost. i Primenen., 11:3 (1966), 500–506; Theory Probab. Appl., 11:3 (1966), 441–447
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https://www.mathnet.ru/eng/tvp646 https://www.mathnet.ru/eng/tvp/v11/i3/p500
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