Goncharova S. Stochastic stability and optimal control of semi-Markov risk processes

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U001643

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

28-05-2001

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

Conditions of stability, asymptotic and exponential stability with probability one of semi-Markov risk process, asymptotic stability uniformly by with probability one of semi-Markov risk processes in schemes of averaging and diffusion approximation, asymptotic stability in mean square of the normal deviated risk process and of semi-Markov risk process in scheme of double approximation are investigated. The optimal stochastic controls for the controlled semi-Markov risk processes are investigated by cost functional.

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