Ilyenko A. Asymptotic analysis of shot processes

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000225

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

22-12-2003

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The asymptotic properties of linear transforms of shot processes are studied in the thesis. We studied the speed of convergence of integral and discrete sample means of shot processes in laws of large numbers; the limit distributions of integrals of shot processes are found; the functional limit theorem for such integrals is established; the asymptotic behaviour of the solutions to the heat equation with shot initial condition is investigated.

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