Behavior of an Almost Semicontinuous Poisson Process on a Markov Chain Upon Attainment of A Level

Details Behavior of an Almost Semicontinuous Poisson Process on a Markov Chain Upon Attainment of A Level Behavior of an Almost Semicontinuous Poisson Process on a Markov Chain Upon Attainment of A Level

2011-07-10

arxiv.org/abs/1107.1838v1

Ukr. Math. J. (2010) 62, No. 1, 87-96

Mathematics

Probability

8 pages, 1 figure

Scientific paper

We consider the almost semi-continuous processes defined on a finite Markov
chain. The representation of the moment generating functions for the absolute
maximum after achievement positive level and for the recovery time are
obtained. Modified processes with two-step rate of negative jumps are
investigated.

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