Title of article :
ABOUT LIMIT DISTRIBUTIONS FOR SOME FUNCTIONALS
Author/Authors :
YELEYKO, YAROSLAV I. Ivan Franko Lviv National University , ALIEV, SOLTAN A. NAS - Institute of Mathematical and Mechanics, Azerbaijan , BUHRII, NATALIYA V. National University Lvivska Politekhnika
Abstract :
A semi-Markov process with a finite state space and a continuous time without finiteness condition of a mean stay time of this process in every fixed state is considered inthe scheme of series. An imbedded Markov chain in the semi-Markov process depends of seriesparameter. Existence conditions of limit distributions for functionals of this process are received.
Keywords :
Semi , Markov Process , Existence Conditions , Finite State Space , Limit Distributions
Journal title :
Applied and Computational Mathematics
Journal title :
Applied and Computational Mathematics