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Found 183 Documents (Results 1–100)

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Klebaner, F. C.; Logachov, A. V.; Mogulskii, A. A.
Extended large deviation principle for trajectories of processes with independent and stationary increments on the half-line. (English. Russian original) Zbl 1447.60056
Probl. Inf. Transm. 56, No. 1, 56-72 (2020); translation from Probl. Peredachi Inf. 56, No. 1, 63-79 (2020).
MSC:  60F10
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\textit{F. C. Klebaner} et al., Probl. Inf. Transm. 56, No. 1, 56--72 (2020; Zbl 1447.60056); translation from Probl. Peredachi Inf. 56, No. 1, 63--79 (2020)
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Borovkov, A. A.; Mogulskii, A. A.; Prokopenko, E. I.
Properties of the deviation rate function and the asymptotics for the Laplace transform of the distribution of a compound renewal process. (English. Russian original) Zbl 1432.60080
Theory Probab. Appl. 64, No. 4, 499-512 (2020); translation from Teor. Veroyatn. Primen. 64, No. 4, 625-641 (2019).
MSC:  60K05 60F10
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\textit{A. A. Borovkov} et al., Theory Probab. Appl. 64, No. 4, 499--512 (2020; Zbl 1432.60080); translation from Teor. Veroyatn. Primen. 64, No. 4, 625--641 (2019)
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Borovkov, A. A.; Mogulskii, A. A.
Integro-local limit theorems for compound renewal processes under Cramér’s condition. II. (English. Russian original) Zbl 1404.60129
Sib. Math. J. 59, No. 4, 578-597 (2018); translation from Sib. Mat. Zh. 59, No. 4, 736-758 (2018).
MSC:  60K05 60F17 60F10
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\textit{A. A. Borovkov} and \textit{A. A. Mogulskii}, Sib. Math. J. 59, No. 4, 578--597 (2018; Zbl 1404.60129); translation from Sib. Mat. Zh. 59, No. 4, 736--758 (2018)
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Logachov, Artem Vasil’evich; Mogulskii, Anatolii Al’fredovich
Anscombe-type theorem and moderate deviations for trajectories of a compound renewal process. (English. Russian original) Zbl 1387.60132
J. Math. Sci., New York 229, No. 1, 36-50 (2018); translation from Ukr. Mat. Visn. 14, No. 2, 201-219 (2017).
MSC:  60K15 60F10
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\textit{A. V. Logachov} and \textit{A. A. Mogulskii}, J. Math. Sci., New York 229, No. 1, 36--50 (2018; Zbl 1387.60132); translation from Ukr. Mat. Visn. 14, No. 2, 201--219 (2017)
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Dmitruschenkov, Dmitriy V.; Shklyaev, Alexander V.
Large deviations of branching processes with immigration in random environment. (English. Russian original) Zbl 1397.60113
Discrete Math. Appl. 27, No. 6, 361-376 (2017); translation from Diskretn. Mat. 28, No. 3, 28-48 (2016).
MSC:  60J80 60F10 60K37
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\textit{D. V. Dmitruschenkov} and \textit{A. V. Shklyaev}, Discrete Math. Appl. 27, No. 6, 361--376 (2017; Zbl 1397.60113); translation from Diskretn. Mat. 28, No. 3, 28--48 (2016)
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Borovkov, A. A.; Mogulskii, A. A.
Moderately large deviation principles for the trajectories of random walks and processes with independent increments. (English) Zbl 1327.60068
Theory Probab. Appl. 58, No. 4, 562-581 (2014); translation from Teor. Veroyatn. Primen. 58, No. 4, 648-671 (2013).
MSC:  60F10 60F17 60F99 60G50 60G51
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\textit{A. A. Borovkov} and \textit{A. A. Mogulskii}, Theory Probab. Appl. 58, No. 4, 562--581 (2014; Zbl 1327.60068); translation from Teor. Veroyatn. Primen. 58, No. 4, 648--671 (2013)
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Stoyanov, J.; Lin, G. D.
Hardy’s condition in the moment problem for probability distributions. (English. Russian original) Zbl 1295.60020
Theory Probab. Appl. 57, No. 4, 699-708 (2013); translation from Teor. Veroyatn. Primen. 57, No. 4, 811-820 (2012).
Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq)
MSC:  60E05 44A60
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\textit{J. Stoyanov} and \textit{G. D. Lin}, Theory Probab. Appl. 57, No. 4, 699--708 (2013; Zbl 1295.60020); translation from Teor. Veroyatn. Primen. 57, No. 4, 811--820 (2012)
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Borovkov, A. A.; Mogul’skiĭ, A. A.
Inequalities and principles of large deviations for the trajectories of processes with independent increments. (English. Russian original) Zbl 1270.60056
Sib. Math. J. 54, No. 2, 217-226 (2013); translation from Sib. Mat. Zh. 54, No. 2, 286-297 (2013).
MSC:  60G51 60F10
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\textit{A. A. Borovkov} and \textit{A. A. Mogul'skiĭ}, Sib. Math. J. 54, No. 2, 217--226 (2013; Zbl 1270.60056); translation from Sib. Mat. Zh. 54, No. 2, 286--297 (2013)
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Shklyaev, A. V.
On large deviations of branching processes in a random environment with arbitrary initial number of particles: critical and supercritical cases. (English. Russian original) Zbl 1274.60296
Discrete Math. Appl. 22, No. 5-6, 619 (2012); translation from Diskretn. Mat. 24, No. 4, 114-130 (2012).
Reviewer: Valentin Topchii (Omsk)
MSC:  60K37 60J80 60F10
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\textit{A. V. Shklyaev}, Discrete Math. Appl. 22, No. 5--6, 619 (2012; Zbl 1274.60296); translation from Diskretn. Mat. 24, No. 4, 114--130 (2012)
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Borovkov, A. A.; Mogulskij, A. A.
Chebyshev-type exponential inequalities for sums of random vectors and for trajectories of random walks. (English. Russian original) Zbl 1238.60022
Theory Probab. Appl. 56, No. 1, 21-43 (2012); translation from Teor. Veroyatn. Primen. 56, No. 1, 3-29 (2011).
MSC:  60E15 60G50
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\textit{A. A. Borovkov} and \textit{A. A. Mogulskij}, Theory Probab. Appl. 56, No. 1, 21--43 (2012; Zbl 1238.60022); translation from Teor. Veroyatn. Primen. 56, No. 1, 3--29 (2011)
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Shklyaev, A. V.
Limit theorems for random walk under the assumption of maxima large deviation. (English. Russian original) Zbl 1244.60029
Theory Probab. Appl. 55, No. 3, 517-525 (2011); translation from Teor. Veroyatn. Primen. 55, No. 3, 590-598 (2010).
Reviewer: Serguey Victorovich Zhulenev (Moskva)
MSC:  60F10 60G50
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\textit{A. V. Shklyaev}, Theory Probab. Appl. 55, No. 3, 517--525 (2011; Zbl 1244.60029); translation from Teor. Veroyatn. Primen. 55, No. 3, 590--598 (2010)
Full Text: DOI
Borovkov, A. A.; Mogul’skiĭ, A. A.
Properties of a functional of trajectories which arises in studying the probabilities of large deviations of random walks. (English. Russian original) Zbl 1238.60034
Sib. Math. J. 52, No. 4, 612-627 (2011); translation from Sib. Mat. Zh. 52, No. 4, 777-795 (2011).
Reviewer: V. M. Kruglov (Moskva)
MSC:  60F10 60G50
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\textit{A. A. Borovkov} and \textit{A. A. Mogul'skiĭ}, Sib. Math. J. 52, No. 4, 612--627 (2011; Zbl 1238.60034); translation from Sib. Mat. Zh. 52, No. 4, 777--795 (2011)
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Borovkov, A. A.
Large deviation principles for random walks with regularly varying distributions of jumps. (English. Russian original) Zbl 1244.60027
Sib. Math. J. 52, No. 3, 402-410 (2011); translation from Sib. Mat. Zh. 52, No. 3, 512-521 (2011).
Reviewer: Nikolai N. Leonenko (Cardiff)
MSC:  60F10 60G55 60G50 60B10 60B05
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\textit{A. A. Borovkov}, Sib. Math. J. 52, No. 3, 402--410 (2011; Zbl 1244.60027); translation from Sib. Mat. Zh. 52, No. 3, 512--521 (2011)
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Kozlov, M. V.
On large deviations of strictly subcritical branching processes in a random environment with geometric distribution of progeny. (English. Russian original) Zbl 1213.60162
Theory Probab. Appl. 54, No. 3, 424-446 (2010); translation from Teor. Veroyatn. Primen. 54, No. 3, 439-465 (2009).
Reviewer: Alex V. Kolnogorov (Novgorod)
MSC:  60K37 60J80 60F10
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\textit{M. V. Kozlov}, Theory Probab. Appl. 54, No. 3, 424--446 (2009; Zbl 1213.60162); translation from Teor. Veroyatn. Primen. 54, No. 3, 439--465 (2009)
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Castanié, Francis (ed.)
Spectral analysis. Parametric and non-parametric digital methods. Translated from the 2003 French original. (English) Zbl 1138.94005
Digital Signal and Image Processing Series (DSP). London: ISTE (ISBN 978-1-905209-05-7/hbk; 978-0-470-61219-4/ebook). 262 p. (2006).
Reviewer: Yuehua Wu (Toronto)
MSC:  94-02 94A12
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\textit{F. Castanié} (ed.), Spectral analysis. Parametric and non-parametric digital methods. Translated from the 2003 French original. London: ISTE (2006; Zbl 1138.94005)
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Zajgraev, A. Yu.; Nagaev, A. V.
Abelian theorems, limit properties of conjugate distributions, and large deviations for sums of independent random vectors. (English. Russian original) Zbl 1059.60035
Theory Probab. Appl. 48, No. 4, 664-680 (2003); translation from Teor. Veroyatn. Primen. 48, No. 4, 720-744 (2003).
Reviewer: Zdzisław Rychlik (Lublin)
MSC:  60F10 60G50
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\textit{A. Yu. Zajgraev} and \textit{A. V. Nagaev}, Theory Probab. Appl. 48, No. 4, 664--680 (2003; Zbl 1059.60035); translation from Teor. Veroyatn. Primen. 48, No. 4, 720--744 (2003)
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Rozovskij, L. V.
Superlarge deviations of a sum of independent random variables having a common absolutely continuous distribution under the Cramér condition. (English. Russian original) Zbl 1056.60023
Theory Probab. Appl. 48, No. 1, 108-130 (2003); translation from Teor. Veroyatn. Primen. 48, No. 1, 78-103 (2003).
MSC:  60F10 60G50 60F05
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\textit{L. V. Rozovskij}, Theory Probab. Appl. 48, No. 1, 108--130 (2003; Zbl 1056.60023); translation from Teor. Veroyatn. Primen. 48, No. 1, 78--103 (2003)
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Piterbarg, V. I.; Kozlov, A. M.
On large jumps of a Cramer random walk. (English. Russian original) Zbl 1069.60030
Theory Probab. Appl. 47, No. 4, 719-729 (2002); translation from Teor. Veroyatn. Primen. 47, No. 4, 803-814 (2003).
Reviewer: Bero Roos (Hamburg)
MSC:  60F10 60G50
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\textit{V. I. Piterbarg} and \textit{A. M. Kozlov}, Theory Probab. Appl. 47, No. 4, 719--729 (2003; Zbl 1069.60030); translation from Teor. Veroyatn. Primen. 47, No. 4, 803--814 (2003)
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Amosova, N. N.
Necessity of the Cramer, Linnik, and Statulevičius conditions for large-deviation probabilities. (English. Russian original) Zbl 1022.60025
J. Math. Sci., New York 109, No. 6, 2031-2036 (2002); translation from Zap. Nauchn. Semin. POMI 260, 9-16 (1999).
Reviewer: Birute Kryžienė (Vilnius)
MSC:  60F10
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\textit{N. N. Amosova}, J. Math. Sci., New York 109, No. 6, 1 (1999; Zbl 1022.60025); translation from Zap. Nauchn. Semin. POMI 260, 9--16 (1999)
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Borovkov, A. A.; Mogul’skij, A. A.
Integro-local limit theorems including large deviations for sums of random vectors. I. (English. Russian original) Zbl 0927.60040
Theory Probab. Appl. 43, No. 1, 1-12 (1998); translation from Teor. Veroyatn. Primen. 43, No. 1, 3-17 (1998).
Reviewer: A.V.Bulinskij (Moskva)
MSC:  60F10
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\textit{A. A. Borovkov} and \textit{A. A. Mogul'skij}, Theory Probab. Appl. 43, No. 1, 1--12 (1998; Zbl 0927.60040); translation from Teor. Veroyatn. Primen. 43, No. 1, 3--17 (1998)
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Yegishyantz, S. A.; Ostrovskij, Ye. I.
Asymptotic behavior of random fields on the sequence of extending sets. (English. Russian original) Zbl 0908.60032
Russ. Math. 41, No. 8, 23-29 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 8(423), 26-32 (1997).
Reviewer: M.I.Yadrenko (Kyïv)
MSC:  60G60 60F99
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\textit{S. A. Yegishyantz} and \textit{Ye. I. Ostrovskij}, Russ. Math. 41, No. 8, 23--29 (1997; Zbl 0908.60032); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No. 8(423), 26--32 (1997)
Borovkov, A. A.; Mogul’skij, A. A.
The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks. (English. Russian original) Zbl 0878.60023
Sib. Math. J. 37, No. 4, 647-682 (1996); translation from Sib. Mat. Zh. 37, No. 4, 745-782 (1996).
Reviewer: B.Kryžienė (Vilnius)
MSC:  60F10 60K05
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\textit{A. A. Borovkov} and \textit{A. A. Mogul'skij}, Sib. Math. J. 37, No. 4, 647--682 (1996; Zbl 0878.60023); translation from Sib. Mat. Zh. 37, No. 4, 745--782 (1996)
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