Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue

Autor: T. Shervashidze
Rok vydání: 1997
Předmět:
Zdroj: gmj. 4:579-584
ISSN: 1572-9176
1072-947X
Popis: Using a multidimensional analogue of Vinogradov's inequality for a trigonometric integral, the upper bounds are constructed for the moduli of the characteristic functions both of the system of monomials in components of a random vector with an absolutely continuous distribution in and of the system (cos j 1πξ 1 . . . cos j s πξ s , 0 ≤ j 1, . . . , j s ≤ k, j 1 + . . . + j s ≥ 1), where (ξ 1, . . . , ξ s ) is uniformly distributed in [0; 1] s .
Databáze: OpenAIRE
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