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Found 113 Documents (Results 1–100)

Uniform strong law of large numbers for random signed measures. (English) Zbl 1481.60094

Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 335-350 (2019).
MSC:  60G57 60G55 60H05
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Almost sure asymptotic properties of solutions of a class of non-homogeneous stochastic differential equations. (English) Zbl 1419.34162

Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 97-114 (2019).
MSC:  34F05 34D05
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Pseudo-regularly varying functions and generalized renewal processes. (English) Zbl 1422.60003

Probability Theory and Stochastic Modelling 91. Cham: Springer (ISBN 978-3-319-99536-6/hbk; 978-3-319-99537-3/ebook). xxii, 482 p. (2018).
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Strong laws of large numbers in an \(F^{\alpha}\)-scheme. (English) Zbl 1378.60059

Hallin, Marc (ed.) et al., Mathematical statistics and limit theorems. Festschrift in honour of Paul Deheuvels. Selected papers based on the presentations at the conference on the occasion of his 65th birthday, Paris, France, June 20–21, 2013. Cham: Springer (ISBN 978-3-319-12441-4/hbk; 978-3-319-12442-1/ebook). 287-303 (2015).
MSC:  60F15
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Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes. (English. Ukrainian original) Zbl 1301.26006

Theory Probab. Math. Stat. 87, 1-12 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 1-11 (2012).
MSC:  26A12 26A48
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Limit theorems for multiple sums of random variables. (Граничні теореми для кратних сум випадкових величин.) (Ukrainian) Zbl 1314.60006

Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka. Kiev: TBiMC (ISBN 978-966-8725-09-8/hbk). 402 p. (2013).
MSC:  60-02 60Fxx 60G60
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Pseudo-regularly varying functions and generalized renewal processes. (Псевдорегулярні функції та узагальнені процеси відновлення.) (Ukrainian) Zbl 1318.60004

Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka. Kiev: TBiMC (ISBN 978-966-8725-06-9/hbk). 440 p. (2012).
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An inequality for the Lévy distance between two distribution functions and its applications. (Ukrainian, English) Zbl 1224.60170

Teor. Jmovirn. Mat. Stat. 81, 53-64 (2009); translation in Theory Probab. Math. Stat. 81, 59-70 (2010).
MSC:  60J05
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On some properties of asymptotic quasi-inverse functions. (Ukrainian, English) Zbl 1199.26009

Teor. Jmovirn. Mat. Stat. 77, 13-27 (2007); translation in Theory Probab. Math. Stat. 77, 15-30 (2008).
MSC:  26A12 60F99 26A48
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PRV property of functions and asymptotic behaviour of solutions to stochastic differential equations. (Ukrainian, English) Zbl 1123.60044

Teor. Jmovirn. Mat. Stat. 72, 10-23 (2005); translation in Theory Probab. Math. Stat. 72, 11-25 (2006).
MSC:  60H10 34D05
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Some properties of asymptotic quasi-inverse functions and their applications. II. (Ukrainian, English) Zbl 1101.26003

Teor. Jmovirn. Mat. Stat. 71, 33-48 (2004); translation in Theory Probab. Math. Stat. 71, 37-52 (2005).
MSC:  26A12 60F15
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Complete convergence in the strong law of large numbers for double sums indexed by a sector with functional boundaries. (Ukrainian, English) Zbl 1050.60034

Teor. Jmovirn. Mat. Stat. 68, 44-48 (2003); translation in Theory Probab. Math. Stat. 68, 49-54 (2004).
MSC:  60F15 60K05
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Asymptotic behavior of renewal processes defined by random walks with multidimensional time. (English. Ukrainian original) Zbl 0923.60091

Theory Probab. Math. Stat. 56, 107-113 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 105-111 (1997).
MSC:  60K05 60G50
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The weak law of large numbers for multiple sums of independent identically distributed random variables. (English) Zbl 0817.60054

Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 158-168 (1992).
MSC:  60G60 60F05
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On integrability of \(\sup{|{}}S_{n_ k}/n_ k{|{}}\). (English) Zbl 0772.60026

New trends in probability and statistics. Vol. 1, Proc. 23rd Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani/USSR 1990, 38-42 (1991).
Reviewer: A.Gut (Uppsala)
MSC:  60F25 60E15 60G50
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The law of the iterated logarithm for weighted sums of independent identically distributed random variables. (English. Russian original) Zbl 0623.60042

Theory Probab. Appl. 31, 337-342 (1987); translation from Teor. Veroyatn. Primen. 31, No. 2, 389-393 (1986).
Reviewer: N.Kalinauskaitė
MSC:  60F15 60F05
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A limit theorem of multiple sums for identically distributed independent random variables. (English. Russian original) Zbl 0673.60029

J. Sov. Math. 38, No. 6, 2321-2326 (1987); translation from Probability distributions and mathematical statistics, Collect. Artic., Tashkent 1986, 265-277 (1986).
Reviewer: A.K.Basu
MSC:  60F10 60G60
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