Polyak I. An exactness of an approximation of distribution of the sums of independent random variables

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U003525

Thesis Registration Form

0404U003525.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

27-09-2004

Specialized Academic Board

Д.26.001.37

Essay

In a thesis the exactitude of an approximation of distribution of the sums of independent aleatory variables with use of a various aspect of the pseudomoments is investigated. The estimations of a velocity of convergence to the normal law in the limiting theorem for densenesses, both uni-form, and non-uniform are obtained. The estimations of a velocity of convergence to the normal law in some probability metric and the estimations of proximity of density functions of two sums are obtained.

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