Some inequalities for characteristic functions
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 500-506
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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.
@article{TVP_1966_11_3_a9,
author = {S. M. Sadikova},
title = {Some inequalities for characteristic functions},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {500--506},
year = {1966},
volume = {11},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a9/}
}
S. M. Sadikova. Some inequalities for characteristic functions. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 500-506. http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a9/