Geodesic
On large deviations of strictly critical branching processes in a random environment with geometric distribution of descendants
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 3, pp. 439-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {M. V. Kozlov},
     title = {On large deviations of strictly critical branching processes in a random environment with geometric distribution of descendants},
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}
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M. V. Kozlov. On large deviations of strictly critical branching processes in a random environment with geometric distribution of descendants. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 3, pp. 439-465. http://geodesic.mathdoc.fr/item/TVP_2009_54_3_a1/

[1] Agresti A., “On the extinction times of varying and random environment branching processes”, J. Appl. Probab., 12:1 (1975), 39–46 | DOI | MR | Zbl

[2] Petrov V. V., “O veroyatnostyakh bolshikh uklonenii summ nezavisimykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 10:2 (1965), 310–322 | MR | Zbl

[3] Kozlov M. V., “O bolshikh ukloneniyakh vetvyaschikhsya protsessov v sluchainoi srede: geometricheskoe raspredelenie chisla potomkov”, Diskretn. matem., 18:2 (2006), 29–47 | MR | Zbl

[4] Kesten H., “Random difference equations and renewal theory for products of random matrices”, Acta Math., 131 (1973), 207–248 | DOI | MR | Zbl

[5] Borovkov A. A., Veroyatnostnye protsessy v teorii massovogo obsluzhivaniya, Nauka, M., 1972, 368 pp. | MR

[6] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, t. 2, Mir, M., 1984

[7] Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965, 524 pp.

[8] Afanasyev V. I., Geiger J., Kersting G., Vatutin V. A., “Criticality for branching processes in random environment”, Ann. Probab., 33:2 (2005), 645–673 | DOI | MR | Zbl