Geodesic
An extremal property of the uniform distribution and some of its consequences
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 3, pp. 646-650

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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. 
@article{TVP_1999_44_3_a9,
     author = {L. V. Rozovskii},
     title = {An extremal property of the uniform distribution and some of its consequences},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {646--650},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_3_a9/}
}
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L. V. Rozovskii. An extremal property of the uniform distribution and some of its consequences. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 3, pp. 646-650. http://geodesic.mathdoc.fr/item/TVP_1999_44_3_a9/