Goncharenko Y. Convolutions of singular probability distributions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U001109

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

09-03-2004

Specialized Academic Board

Д.26.206.02

Essay

Thesis is devoted to the investigation of the structure, metric-topological and fractal properties of the convolutions of singular distributions of sums of special type random series. The generalization of the distribution of the convolution of distributions of random variables with independent binary digits is investigated. Convolutions of distributions of sums of special type random series are also studied in details.

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