Geodesic
The time to extinction for Galton–Watson processes which censored at a high level
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 271-287 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{TVP_2009_54_2_a4,
     author = {V. A. Topchii},
     title = {The time to extinction for {Galton{\textendash}Watson} processes which censored at a high level},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {271--287},
     year = {2009},
     volume = {54},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a4/}
}
TY  - JOUR
AU  - V. A. Topchii
TI  - The time to extinction for Galton–Watson processes which censored at a high level
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2009
SP  - 271
EP  - 287
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a4/
LA  - ru
ID  - TVP_2009_54_2_a4
ER  - 
%0 Journal Article
%A V. A. Topchii
%T The time to extinction for Galton–Watson processes which censored at a high level
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2009
%P 271-287
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a4/
%G ru
%F TVP_2009_54_2_a4
V. A. Topchii. The time to extinction for Galton–Watson processes which censored at a high level. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 271-287. http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a4/

[1] Athreya K. B., Ney P. E., Branching Processes, Springer-Verlag, Heidelberg–New York, 1972, 287 pp. | MR | Zbl

[2] Kharris T., Teoriya vetvyaschikhsya sluchainykh protsessov, Mir, M., 1966, 355 pp.

[3] Zubkov A. M., “Uslovie vyrozhdeniya ogranichennogo vetvyaschegosya protsessa”, Matem. zametki, 8:1 (1970), 9–18 | MR | Zbl

[4] Jagers P., Klebaner F. C., Sagitov S., “On the path to extinction”, Proc. Natl. Acad. Sci. USA, 104:15 (2007), 6107–6111 | DOI

[5] Jagers P., Klebaner F. C., Sagitov S., “Markovian paths to extinction”, Adv. Appl. Probab., 39:2 (2007), 569–587 | DOI | MR | Zbl

[6] Pakes A. G., “On the asymptotic behaviour of the extinction time of the simple branching process”, Adv. Appl. Probab., 21:2 (1989), 470–472 | DOI | MR | Zbl

[7] Vatutin V. A., “Asimptotika veroyatnosti popadaniya v nul vetvyaschikhsya protsessov s immigratsiei”, Teoriya veroyatn. i ee primen., 19:1 (1974), 26–35 | MR | Zbl

[8] Kovalevskii A. P., Topchii V. A., Foss S. G., “O stabilnosti sistemy obsluzhivaniya s kontinualno vetvyaschimisya zhidkostnymi predelami”, Problemy peredachi informatsii, 41:3 (2005), 76–104 | MR | Zbl

[9] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, T. I, Fizmatgiz, M., 1959, 607 pp.

[10] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, T. II, Fizmatgiz, M., 1959, 807 pp.

[11] Gelfond A. O., Ischislenie konechnykh raznostei, Nauka, M., 1967, 375 pp. | MR

[12] Borovkov A. A., Teoriya veroyatnostei, Editorial URSS, M., 1999, 470 pp. | MR

[13] Shiryaev A. N., Veroyatnost, Nauka, M., 1989, 640 pp. | MR