On large deviations of branching processes in a~random environment with arbitrary initial number of particles: critical and supercritical cases
Diskretnaya Matematika, Tome 24 (2012) no. 4, pp. 114-130.

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

@article{DM_2012_24_4_a9,
     author = {A. V. Shklyaev},
     title = {On large deviations of branching processes in a~random environment with arbitrary initial number of particles: critical and supercritical cases},
     journal = {Diskretnaya Matematika},
     pages = {114--130},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2012_24_4_a9/}
}
TY  - JOUR
AU  - A. V. Shklyaev
TI  - On large deviations of branching processes in a~random environment with arbitrary initial number of particles: critical and supercritical cases
JO  - Diskretnaya Matematika
PY  - 2012
SP  - 114
EP  - 130
VL  - 24
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2012_24_4_a9/
LA  - ru
ID  - DM_2012_24_4_a9
ER  - 
%0 Journal Article
%A A. V. Shklyaev
%T On large deviations of branching processes in a~random environment with arbitrary initial number of particles: critical and supercritical cases
%J Diskretnaya Matematika
%D 2012
%P 114-130
%V 24
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2012_24_4_a9/
%G ru
%F DM_2012_24_4_a9
A. V. Shklyaev. On large deviations of branching processes in a~random environment with arbitrary initial number of particles: critical and supercritical cases. Diskretnaya Matematika, Tome 24 (2012) no. 4, pp. 114-130. http://geodesic.mathdoc.fr/item/DM_2012_24_4_a9/

[1] Kozlov M. V., “O bolshikh ukloneniyakh vetvyaschikhsya protsessov”, Diskretnaya matematika, 18:2 (2006), 29–47 | DOI | MR | Zbl

[2] Kozlov M. V., “O bolshikh ukloneniyakh strogo dokriticheskikh vetvyaschikhsya protsessov v sluchainoi srede s geometricheskim raspredeleniem chisla potomkov”, Teoriya veroyatnostei i ee primeneniya, 54:3 (2009), 439–465 | DOI | MR | Zbl

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

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

[5] Shklyaev A. V., “Predelnye teoremy dlya sluchainogo bluzhdaniya pri uslovii bolshogo ukloneniya maksimuma”, Teoriya veroyatnostei i ee primeneniya, 55:3 (2010), 590–598 | DOI | MR

[6] Shklyaev A. V., “Bolshie ukloneniya statistiki Sheppa”, Teoriya veroyatnostei i ee primeneniya, 55:4 (2010), 796–803 | DOI | MR

[7] Boinghoff C., Kersting G., “Upper large deviations of branching processes in a random environment – offspring distributions with geometrically bounded tails”, Stochastic Process. Appl., 10 (2010), 2064–2077 | DOI | MR

[8] Bansaye V., Berestycki J., “Large deviations for branching processes in random environment”, Markov Process. Relat. Fields, 4 (2009), 493–524 | MR | Zbl