Geodesic
Limit Behavior of a Critical Branching Process with Immigration
Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 670-677

Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization of the Sevastyanov branching process with immigration which is a Cox process is studied. The generating function of the number of particles of the process is obtained. For critical processes, the limit behavior of the number of particles at infinity is established.
Keywords: branching process with immigration, Cox process
Mots-clés : Laplace transform, Lebesgue theorem. 
@article{MZM_2012_92_5_a2,
     author = {O. A. Butkovskii},
     title = {Limit {Behavior} of a {Critical} {Branching} {Process} with {Immigration}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {670--677},
     publisher = {mathdoc},
     volume = {92},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a2/}
}
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O. A. Butkovskii. Limit Behavior of a Critical Branching Process with Immigration. Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 670-677. http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a2/