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Found 106 Documents (Results 1–100)

Asymptotic behavior of extreme values of random variables and some stochastic processes. (English) Zbl 1515.60162

Moklyachuk, Mikhail (ed.), Stochastic processes. Fundamentals and emerging applications. New York, NY: Nova Science Publishers. Math. Res. Dev., 1-35 (2022).
MSC:  60G70 60F15 60K25
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Estimation of the rate of convergence in the limit theorem for extreme values of regenerative processes. (English. Ukrainian original) Zbl 1479.60184

Ukr. Math. J. 72, No. 8, 1230-1250 (2021); translation from Ukr. Mat. Zh. 72, No. 8, 1064-1081 (2020).
MSC:  60K10 60K25
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A limit theorem for sums of independent random elements in a Banach space. (English. Ukrainian original) Zbl 1457.60007

Theory Probab. Math. Stat. 100, 141-152 (2020); translation from Teor. Jmovirn. Mat. Stat. 100, 131-141 (2019).
MSC:  60B12 46B09 60F05
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Limit theorems for extremal residuals in a regression model with heavy tails of observation errors. (English. Ukrainian original) Zbl 1312.60070

Theory Probab. Math. Stat. 88, 99-108 (2014); translation from Teor. Jmovirn. Mat. Stat. 88, 90-97 (2013).
MSC:  60G70 60F99 62J05
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Limit theorems for the maximal residuals in linear and nonlinear regression models. (English. Ukrainian original) Zbl 1312.60069

Theory Probab. Math. Stat. 86, 79-91 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 69-80 (2012).
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The asymptotic stability of the maximum of independent random elements in function Banach lattices. (English. Ukrainian original) Zbl 1308.60011

Theory Probab. Math. Stat. 86, 1-11 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 1-10 (2012).
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Some applications of the Gnedenko-Korolyuk method to empirical distributions. (Ukrainian, English) Zbl 1245.62055

Teor. Jmovirn. Mat. Stat. 78, 119-131 (2008); translation in Theory Probab. Math. Stat. 78, 133-146 (2009).
MSC:  62G30
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Dvoretzky’s theorem by Gaussian method. (English) Zbl 1101.46010

Kadets, Vladimir (ed.) et al., Functional analysis and its applications. Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach, Lviv National University, Lviv, Ukraine, May 28–31, 2002. Amsterdam: Elsevier (ISBN 0-444-51373-6/hbk). North-Holland Mathematics Studies 197, 171-184 (2004).
MSC:  46B09 46B07 52A20
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Limit theorems for random elements in ideals of order-bounded elements of functional Banach lattices. (English. Ukrainian original) Zbl 0984.60014

Ukr. Math. J. 53, No. 1, 48-58 (2001); translation from Ukr. Mat. Zh. 53, No. 1, 41-49 (2001).
MSC:  60B12 46B42
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On maxima of independent random elements in Banach functional lattice. (English. Ukrainian original) Zbl 0985.60002

Theory Probab. Math. Stat. 61, 109-120 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 105-116 (2000).
MSC:  60B12 60G70 60G50
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Asymptotic properties of the norm of extremum values of normal random elements in the space \(C[0,1]\). (English. Ukrainian original) Zbl 0941.60014

Ukr. Math. J. 50, No. 9, 1405-1415 (1998); translation from Ukr. Mat. Zh. 50, No. 9, 1227-1235 (1998).
MSC:  60B12 60F15 60G70
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Weak convergence of extreme values of independent Gaussian random elements in the spaces \(\ell_p, 1\leq p <\infty\). (English. Ukrainian original) Zbl 0941.60013

Theory Probab. Math. Stat. 54, 115-120 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 109-115 (1996).
MSC:  60B12 60F05
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On limit points of a sequence of extreme values of normal random elements in Banach spaces with unconditional basis. (English. Ukrainian original) Zbl 0923.60006

Theory Probab. Math. Stat. 55, 143-151 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 136-143 (1996).
MSC:  60B12 60F15
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On the law of the iterated logarithm for weighted sums of independent random variables in a Banach space. (English. Ukrainian original) Zbl 0810.60033

Ukr. Math. J. 45, No. 9, 1372-1381 (1993); translation from Ukr. Mat. Zh. 45, No. 9, 1225-1231 (1993).
MSC:  60F15 60B12
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Khinchin’s inequality and the asymptotic behavior of the sums \(\sum \epsilon_ nx_ n\) in Banach lattices. (English. Russian original) Zbl 0711.60009

Ukr. Math. J. 42, No. 5, 566-570 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 639-644 (1990).
Reviewer: R.Norvaiša
MSC:  60B12
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Probabilistic estimates of large deviations of sums of independent random variables and martingales. (English. Russian original) Zbl 0746.60047

Theory Probab. Math. Stat. 42, 103-111 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 88-95 (1990).
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Some inequalities for sums of independent random variables in Banach spaces. (English. Russian original) Zbl 0681.60009

Theory Probab. Math. Stat. 38, 89-96 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 38, 81-88 (1988).
Reviewer: A.Račkauskas
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Rational multicriterion planning for complex utilization of river-basin water resources (using the Dnieper river as an example). (English. Russian original) Zbl 0531.90057

Sov. Autom. Control 15, No. 3, 46-53 (1982); translation from Avtomatika 1982, No. 3, 47-55 (1982).
MSC:  90B99 90C90 90B50
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