Geodesic
Maximal branching processes with non-negative values
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 564-570

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A generalization of the maximal branching processes introduced by Lamperti from the domain $\mathbf{Z}_+$ to $\mathbf{R}_+$ is proved. Some properties of these processes are investigated, an ergodic theorem is proved, and examples are given. Applications of the maximal branching processes to the queueing theory are given.
Keywords: maximal branching processes, ergodic theorem, monotonicity with respect to parameters, gated infinite-server systems.
Mots-clés : association 
@article{TVP_2005_50_3_a9,
     author = {A. V. Lebedev},
     title = {Maximal branching processes with non-negative values},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {564--570},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a9/}
}
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A. V. Lebedev. Maximal branching processes with non-negative values. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 564-570. http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a9/