Some properties of piecewise linear Markov processe
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 571-583

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Piecewise linear homogeneous Markov processes are considered which may be used in the models of a wide class of large systems. Conditions of regularity, recurrency and finiteness of moments of order $\gamma$ of the first entrance time for a fixed set in the phase space are under investigation. Main results are obtained by using the method of testing functions. Some examples from the queuing theory are considered.
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     author = {V. V. Kalashnikov},
     title = {Some properties of piecewise linear {Markov} processe},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {571--583},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a6/}
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V. V. Kalashnikov. Some properties of piecewise linear Markov processe. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 571-583. http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a6/