Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MT_2016_19_2_a4, author = {A. A. Mogul'skiǐ}, title = {The large deviation principle for a compound {Poisson} process}, journal = {Matemati\v{c}eskie trudy}, pages = {119--157}, publisher = {mathdoc}, volume = {19}, number = {2}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2016_19_2_a4/} }
A. A. Mogul'skiǐ. The large deviation principle for a compound Poisson process. Matematičeskie trudy, Tome 19 (2016) no. 2, pp. 119-157. http://geodesic.mathdoc.fr/item/MT_2016_19_2_a4/
[1] Borovkov A. A., “Granichnye zadachi dlya sluchainykh bluzhdanii i bolshie ukloneniya v funktsionalnykh prostranstvakh”, TVP, 12:4 (1967), 635–654 | MR | Zbl
[2] Borovkov A. A., “Skhodimost raspredelenii funktsionalov ot sluchainykh protsessov”, UMN, 27:1(163) (1972), 3–41 | MR | Zbl
[3] Borovkov A. A., “O skorosti skhodimosti v printsipe invariantnosti”, TVP, 18:2 (1973), 217–234 | MR | Zbl
[4] Borovkov A. A., Teoriya veroyatnostei, Uchebnoe posobie, 5-e izd., Knizhnyi dom «Librokom», M., 2009
[5] Borovkov A. A., Asimptoticheskii analiz sluchainykh bluzhdanii. Bystro ubyvayuschie raspredeleniya priraschenii, Izd-vo «Fizmatlit», M., 2013
[6] Borovkov A. A., Mogulskii A. A., Bolshie ukloneniya i proverka statisticheskikh gipotez, Nauka, Novosibirsk, 1992
[7] Borovkov A. A., Mogulskii A. A., “O printsipakh bolshikh uklonenii v metricheskikh prostranstvakh”, Sib. matem. zhurn., 51:6 (2010), 1251–1269 | MR | Zbl
[8] Borovkov A. A., Mogulskii A. A., “Svoistva funktsionala uklonenii ot traektorii, voznikayuschego pri analize veroyatnostei bolshikh uklonenii sluchainykh bluzhdanii”, Sib. matem. zhurn., 52:4 (2011), 777—795 | MR | Zbl
[9] Borovkov A. A., Mogulskii A. A., “Eksponentsialnye neravenstva chebyshevskogo tipa dlya summ sluchainykh vektorov i dlya traektorii sluchainykh bluzhdanii”, TVP, 56:1 (2011), 3–29 | DOI | MR
[10] Borovkov A. A., Mogulskii A. A., “Neravenstva i printsipy bolshikh uklonenii dlya traektorii protsessov s nezavisimymi prirascheniyami”, Sib. matem. zhurn., 54:2 (2013), 286—297 | MR | Zbl
[11] Borovkov A. A., Mogulskii A. A., “Printsipy bolshikh uklonenii dlya traektorii sluchainykh bluzhdanii. I–III”, TVP, 56:4 (2011), 627—655 ; 57:1 (2012), 3–34 ; 58:1 (2013), 37–52 | DOI | MR | DOI | MR | DOI
[12] Dobrushin R. L., Pecherskii E. A., “Bolshie ukloneniya dlya protsessov s nezavisimymi prirascheniyami na beskonechnom intervale”, Probl. peredachi inf., 34:4 (1998), 76–108 | MR | Zbl
[13] Mogulskii A. A., “Teorema razlozheniya dlya integrala uklonenii”, Matem. tr., 15:2 (2012), 127–145 | MR | Zbl
[14] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Izd-vo inostr. lit., M., 1954
[15] Skorokhod A. V., “Predelnye teoremy dlya sluchainykh protsessov”, TVP, 1:3 (1956), 289–319 | Zbl
[16] Lynch J., Sethuraman J., “Large deviations for processes with independent increments”, Ann. Probab., 15:2 (1987), 610–627 | DOI | MR | Zbl