Clarification of basic factorization identity is for the almost semi-continuous latticed Poisson processes on the Markov chain

M. S. Gerich


Let $\{\xi(t), x(t)\}$ be a homogeneous semi-continuous lattice Poisson process on the Markov chain. The jumps of one sign are geometrically distributed, and jumps of the opposite sign are arbitrary latticed distribution. For a such processes the relations for the components of two-sided matrix factorization are established. This relations define the moment genereting functions for extremumf of the process and their complements.

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