Dariychuk I. Shot noise random processes

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004612

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

25-10-2010

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis is dedicated to development of the random processes theory and to generalize known results for Theta-pre-Gaussian and shot noise random processes. Also it was researched uniformly convergent with probability one of wavelet expansions of Theta-pre-Gaussian random processes on finite interval. As example we consider stationary case to simplify conditions of the theorems. The obtained results were applied to the shot noise random processes. The problem of modelling of the shot noise processes was presented.

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