Geodesic
Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления
Matematičeskie trudy, Tome 23 (2020) no. 2, pp. 148-176 
A. A. Mogul'skii; E. I. Prokopenko. Принцип больших уклонений для конечномерных распределений многомерных обобщенных процессов восстановления. Matematičeskie trudy, Tome 23 (2020) no. 2, pp. 148-176. http://geodesic.mathdoc.fr/item/MT_2020_23_2_a5/
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     journal = {Matemati\v{c}eskie trudy},
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     year = {2020},
     volume = {23},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2020_23_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] A. A. Borovkov, Teoriya veroyatnostei, Uchebnoe posobie, 5-e izd., Knizhnyi domLibrokom, M., 2009

[2] A. A. Borovkov, Asimptoticheskii analiz sluchainykh bluzhdanii. Bystro ubyvayuschie raspredeleniya priraschenii, Fizmatlit, M., 2013

[3] A. A. Borovkov, A. A. Mogulskii, “Vtoraya funktsiya uklonenii i asimptoticheskie zadachi vosstanovleniya i dostizheniya granitsy dlya mnogomernykh bluzhdanii”, Sib. matem. zhurn., 37:4 (1996), 745–782 | MR | Zbl

[4] A. A. Borovkov, A. A. Mogulskii, “Printsipy bolshikh uklonenii dlya konechnomernykh raspredelenii obobschennykh protsessov vosstanovleniya”, Sib. matem. zhurn., 56:1 (2015), 36–64 | MR | Zbl

[5] A. A. Borovkov, A. A. Mogulskii, “Integro-lokalnye predelnye teoremy dlya obobschennykh protsessov vosstanovleniya pri vypolnenii usloviya Kramera. I”, Sib. matem. zhurn., 59:3 (2018), 491–513 | MR | Zbl

[6] A. A. Borovkov, A. A. Mogulskii, “Integro-lokalnye predelnye teoremy dlya obobschennykh protsessov vosstanovleniya pri vypolnenii usloviya Kramera. II”, Sib. matem. zhurn., 59:4 (2018), 736–758 | MR | Zbl

[7] A. A. Borovkov, A. A. Mogulskii, E. I. Prokopenko, “Svoistva funktsii uklonenii obobschennogo protsessa vosstanovleniya i asimptotika preobrazovaniya Laplasa nad ego raspredeleniem”, TVP, 64:4 (2019), 625–641 | MR

[8] A. A. Mogulskii, “Lokalnye teoremy dlya arifmeticheskikh obobschennykh protsessov vosstanovleniya pri vypolnenii usloviya Kramera”, Sib. elektron. matem. izv., 16 (2019), 21–40

[9] A. A. Mogulskii, E. I. Prokopenko, “Integro-lokalnye predelnye teoremy dlya mnogomernykh obobschennykh protsessov vosstanovleniya pri momentnom usloviya Kramera. I”, Sib. elektron. matem. izv., 15 (2018), 475–502 | Zbl

[10] A. A. Mogulskii, E. I. Prokopenko, “Integro-lokalnye predelnye teoremy dlya mnogomernykh obobschennykh protsessov vosstanovleniya pri momentnom usloviya Kramera. II”, Sib. elektron. matem. izv., 15 (2018), 503–527 | Zbl

[11] A. A. Mogulskii, E. I. Prokopenko, “Integro-lokalnye predelnye teoremy dlya mnogomernykh obobschennykh protsessov vosstanovleniya pri momentnom usloviya Kramera. III”, Sib. elektron. matem. izv., 15 (2018), 528–553 | Zbl

[12] A. A. Mogulskii, E. I. Prokopenko, “Lokalnye teoremy dlya arifmeticheskikh mnogomernykh obobschennykh protsessov vosstanovleniya”, Matem. tr., 22:2 (2019), 106–133

[13] A. A. Mogulskii, E. I. Prokopenko, “Funktsiya uklonenii i bazovaya funktsiya dlya mnogomernogo obobschennogo protsessa vosstanovleniya”, Sib. elektron. matem. izv., 16 (2019), 1449–1463 | Zbl

[14] A. A. Mogulskii, E. I. Prokopenko, “Printsip bolshikh uklonenii v fazovom prostranstve dlya mnogomernogo pervogo obobschennogo protsessa vosstanovleniya”, Sib. elektron. matem. izv., 16 (2019), 1464–1477 | Zbl

[15] A. A. Mogulskii, E. I. Prokopenko, “Printsip bolshikh uklonenii v fazovom prostranstve dlya mnogomernogo vtorogo obobschennogo protsessa vosstanovleniya”, Sib. elektron. matem. izv., 16 (2019), 1478–1492 | Zbl

[16] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Springer, Berlin–Heidelberg, 2010 | MR | Zbl

[17] R. Lefevere, M. Mariani, L. Zambotti, “Large deviations for renewal processes”, Stochastic Processes Appl., 121:10 (2011), 2243–2271 | DOI | MR | Zbl

[18] M. Kotulski, “Asymptotic distributions of continuous-time random walks: A probabilistic approch”, J. Statist. Phys., 81 (1995), 777–792 | DOI | Zbl

[19] B. Tsirelson, “From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes”, Electron. Commun. Probab., 18:52 (2013), 1–13 | MR

[20] M. Zamparo, Large Deviations in Discrete-Time Renewal Theory, 2019, arXiv: 1903.03537