|
This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
An extremal property of the uniform distribution and some of its consequences
L. V. Rozovskii Saint-Petersburg Chemical-Pharmaceutical Academy
Abstract:
In this note an extremal property of monotone function mean value of random variables with uniformly bounded densities is established. As a consequence, optimal upper bounds are obtained for characteristic functions of such a type of random variables.
Keywords:
uniform distribution, density, moment inequalities, upper bounds, characteristic functions.
Received: 24.09.1998
Citation:
L. V. Rozovskii, “An extremal property of the uniform distribution and some of its consequences”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 646–650; Theory Probab. Appl., 44:3 (2000), 583–588
Linking options:
https://www.mathnet.ru/eng/tvp809https://doi.org/10.4213/tvp809 https://www.mathnet.ru/eng/tvp/v44/i3/p646
|
Statistics & downloads: |
Abstract page: | 380 | Full-text PDF : | 173 | First page: | 18 |
|