Geodesic
Life-Periods of a Branching Process with Immigration
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 179-188 Cet article a éte moissonné depuis la source Math-Net.Ru

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The life-period of a branching process with immigration is a time interval for which the number of particles remains positive. We obtain asymptotic formulas for the tails of the distribution functions of life-periods and find necessary and sufficient conditions for the state 0 of the corresponding Markov chain to be recurrent. 
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     author = {A. M. Zubkov},
     title = {Life-Periods of a {Branching} {Process} with {Immigration}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {179--188},
     year = {1972},
     volume = {17},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/}
}
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A. M. Zubkov. Life-Periods of a Branching Process with Immigration. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 1, pp. 179-188. http://geodesic.mathdoc.fr/item/TVP_1972_17_1_a17/