×

zbMATH — the first resource for mathematics

Rozovskiĭ, Leonid Viktorovich

Compute Distance To:
Author ID: rozovskii.leonid-viktorovich Recent zbMATH articles by "Rozovskiĭ, Leonid Viktorovich"
Published as: Rozovskij, L. V.; Rozovsky, L. V.; Rozovskii, L. V.; Rozovsky, Leonid; Rozovsky, Leonid V.; Rozovskiĭ, L. V.
External Links: MGP · Math-Net.Ru
Documents Indexed: 131 Publications since 1973

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 162 times in 89 Documents Cited by Year
Probabilities of large deviations of sums of independent random variables with common distribution function in the domain of attraction of the normal law. Zbl 0703.60024
Rozovskij, L. V.
11
1989
Small deviation probabilities for sums of independent positive random variables. Zbl 1137.60013
Rozovsky, L. V.
9
2007
Probabilities of large deviations on the whole axis. Zbl 0801.60021
Rozovskij, L. V.
9
1993
On the precision of an estimate of the remainder term in the central limit theorem. Zbl 0421.60023
Rozovskij, L. V.
9
1979
Remarks on a link between the Laplace transform and distribution function of a nonnegative random variable. Zbl 1172.60305
Rozovsky, Leonid
8
2009
Small deviations of series of weighted i.i.d. non-negative random variables with a positive mass at the origin. Zbl 1180.60041
Rozovsky, Leonid
7
2009
On limit theorems on large deviations in narrow zones. Zbl 0474.60025
Rozovskij, L. V.
6
1981
On the convergence of distribution functions of a sequence of sums of independent random variables to the normal law in \(L_p\). Zbl 0352.60039
Rozovskii, L. V.
5
1976
Small deviation probabilities of weighted sums under minimal moment assumptions. Zbl 1296.60118
Rozovsky, L. V.
5
2014
On small deviations of series of weighted positive random variables. Zbl 1290.60052
Rozovsky, L. V.
5
2011
Small deviations of series of independent nonnegative random variables with smooth weights. Zbl 1321.60069
Rozovsky, L. V.
5
2014
On the Cramér series coefficients. Zbl 0957.60037
Rozovskij, L. V.
4
1998
Asymptotische Entwicklungen der Wahrscheinlichkeitsfunktionen von Summen unabhängiger Zufallsvektoren. I, II. Zbl 0264.60035
Rozovskii, L. V.
4
1973
Über die Konvergenzgeschwindigkeit im Lindeberg-Fellerschen Satz. Zbl 0276.60033
Rozovskii, L. V.
4
1974
Asymptotic expansions of the probability functions of sums of independent random vectors. I, II. Zbl 0277.60038
Rozovskii, L. V.
4
1974
Comparison theorems for small deviations of weighted series. Zbl 1270.60054
Rozovsky, L. V.
4
2012
On Gaussian measure of balls in a Hilbert space. Zbl 1191.60045
Rozovsky, L. V.
3
2009
Eine Abschätzung der Konvergenzgeschwindigkeit in einem mehrdimensionalen zentralen Grenzwertsatz ohne Momentvoraussetzungen. Zbl 0381.60021
Rozovskii, L. V.
3
1978
Asymptotic expansions for probabilities of large deviations. Zbl 0611.60022
Rozovsky, L. V.
3
1986
Small deviation probabilities for a class of distributions with a polynomial decreasing at zero. Zbl 1101.60018
Rozovsky, L. V.
3
2005
Small deviation probabilities of weighted sums with fast decreasing weights. Zbl 1322.60038
Rozovsky, Leonid V.
3
2015
Small deviation probabilities for sums of independent positive random variables with a distribution that slowly varies at zero. Zbl 1359.60047
Rozovsky, L. V.
3
2015
Asymptotic expansions in the central limit theorem. Zbl 0347.60020
Rozovskii, L. V.
2
1975
Probabilities of large deviations of sums of independent random variables with a common distribution function from the domain of attraction of an asymmetric stable law. Zbl 0915.60044
Rozovskij, L. V.
2
1997
About the many-dimensional local limit theorem for the case of the convergence to the normal law. Zbl 0377.60026
Rozovskii, L. V.
2
1978
A lower bound of large-deviation probabilities for the sample mean under the Cramer condition. Zbl 1066.60030
Rozovskij, L. V.
2
2001
Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of attraction of the normal law. Zbl 1074.60034
Rozovskij, L. V.
2
2002
Large deviation probabilities for some classes of distributions satisfying the Cramér condition. Zbl 1074.60035
Rozovskij, L. V.
2
2003
Probabilities of small deviations of the weighted sum of independent random variables with common distribution that decreases at zero not faster than a power. Zbl 1341.60021
Rozovsky, L. V.
2
2016
Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough. Zbl 1346.60046
Rozovsky, L. V.
2
2016
Small deviations of probabilities for weighted sum of independent positive random variables with a common distribution that decreases at zero not faster than a power. Zbl 1334.60050
Rozovsky, L. V.
2
2016
Probabilities of large deviations on Borel sets. Zbl 0528.60026
Rozovskij, L. V.
1
1983
On the behavior of the log Laplace transform of series of weighted non-negative random variables at infinity. Zbl 1195.60068
Rozovsky, Leonid
1
2010
Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution. Zbl 1147.60309
Rozovsky, L. V.
1
2008
Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails. Zbl 1230.60027
Rozovsky, Leonid
1
2012
Small ball probabilities for certain Gaussian random fields. Zbl 1422.60077
Rozovsky, Leonid V.
1
2019
An extremal property of the uniform distribution and some of its consequences. Zbl 0967.60012
Rozovskij, L. V.
1
1999
On the J. Doob inequality for characteristic functions. Zbl 0967.60013
Rozovskij, L. V.
1
1999
Estimates of the convergence rate in the weak law of large numbers. Zbl 0463.60029
Rozovskij, L. V.
1
1980
On the relation of the convergence rate in the weak and the strong law of large numbers. Zbl 0466.60032
Rozovskij, L. V.
1
1981
Limit theorems on large deviations in a narrow zone. Zbl 0488.60038
Rozovskij, L. V.
1
1982
An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order. Zbl 1033.60030
Rozovskij, L. V.
1
2002
On asymptotic expansions for the probability functions of sums of independent random vectors. I. Zbl 0393.60012
Rozovskii, L. V.
1
1978
An estimate of the speed of convergence in the multidimensional central limit theorem without moment hypotheses. Zbl 0404.60032
Rozovskii, L. V.
1
1978
Superlarge deviations of a sum of independent random variables having a common absolutely continuous distribution under the Cramér condition. Zbl 1056.60023
Rozovskij, L. V.
1
2003
On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law. Zbl 1054.60031
Rozovskij, L. V.
1
2003
On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law. II. Zbl 1103.60025
Rozovskij, L. V.
1
2005
Small deviation probabilities for sums of independent positive random variables whose density has a power decay at zero. Zbl 1284.60088
Rozovsky, L. V.
1
2013
On small deviation probabilities of positive random variables. Zbl 1080.60010
Rozovskij, L. V.
1
2004
Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT. Zbl 1074.60033
Rozovskij, L. V.
1
2004
Small deviation probabilities of a sum of independent positive random variables, the common distribution of which decreases at zero not faster than exponential function. Zbl 1388.60089
Rozovsky, L. V.
1
2018
Superlarge deviation probabilities for sums of independent random variables with exponentially decreasing tails. II. Zbl 1314.60080
Rozovsky, L. V.
1
2015
On the accuracy of approximation in limit theorems for large deviations. Zbl 0657.60044
Rozovskij, L. V.
1
1987
Small deviation probabilities for weighted sum of independent random variables with a common distribution having a power decrease at zero, under minimal moment assumptions. Zbl 1405.60043
Rozovsky, L. V.
1
2018
Rate of convergence in the weak law of large numbers. Zbl 0674.60023
Rozovskij, L. V.
1
1989
Estimates of the rate of convergence in the strong law of large numbers. Zbl 0569.60027
Rozovskij, L. V.
1
1983
On probabilities of large deviations in some classes of k-dimensional Borel sets. Zbl 0574.60035
Rozovsky, L. V.
1
1985
On the convergence conditions of the generalized Spitzer series. Zbl 1284.60089
Rozovsky, L. V.
1
2013
Small ball probabilities for certain Gaussian random fields. Zbl 1422.60077
Rozovsky, Leonid V.
1
2019
Small deviation probabilities of a sum of independent positive random variables, the common distribution of which decreases at zero not faster than exponential function. Zbl 1388.60089
Rozovsky, L. V.
1
2018
Small deviation probabilities for weighted sum of independent random variables with a common distribution having a power decrease at zero, under minimal moment assumptions. Zbl 1405.60043
Rozovsky, L. V.
1
2018
Probabilities of small deviations of the weighted sum of independent random variables with common distribution that decreases at zero not faster than a power. Zbl 1341.60021
Rozovsky, L. V.
2
2016
Small deviation probabilities for weighted sum of independent random variables with a common distribution that can decrease at zero fast enough. Zbl 1346.60046
Rozovsky, L. V.
2
2016
Small deviations of probabilities for weighted sum of independent positive random variables with a common distribution that decreases at zero not faster than a power. Zbl 1334.60050
Rozovsky, L. V.
2
2016
Small deviation probabilities of weighted sums with fast decreasing weights. Zbl 1322.60038
Rozovsky, Leonid V.
3
2015
Small deviation probabilities for sums of independent positive random variables with a distribution that slowly varies at zero. Zbl 1359.60047
Rozovsky, L. V.
3
2015
Superlarge deviation probabilities for sums of independent random variables with exponentially decreasing tails. II. Zbl 1314.60080
Rozovsky, L. V.
1
2015
Small deviation probabilities of weighted sums under minimal moment assumptions. Zbl 1296.60118
Rozovsky, L. V.
5
2014
Small deviations of series of independent nonnegative random variables with smooth weights. Zbl 1321.60069
Rozovsky, L. V.
5
2014
Small deviation probabilities for sums of independent positive random variables whose density has a power decay at zero. Zbl 1284.60088
Rozovsky, L. V.
1
2013
On the convergence conditions of the generalized Spitzer series. Zbl 1284.60089
Rozovsky, L. V.
1
2013
Comparison theorems for small deviations of weighted series. Zbl 1270.60054
Rozovsky, L. V.
4
2012
Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails. Zbl 1230.60027
Rozovsky, Leonid
1
2012
On small deviations of series of weighted positive random variables. Zbl 1290.60052
Rozovsky, L. V.
5
2011
On the behavior of the log Laplace transform of series of weighted non-negative random variables at infinity. Zbl 1195.60068
Rozovsky, Leonid
1
2010
Remarks on a link between the Laplace transform and distribution function of a nonnegative random variable. Zbl 1172.60305
Rozovsky, Leonid
8
2009
Small deviations of series of weighted i.i.d. non-negative random variables with a positive mass at the origin. Zbl 1180.60041
Rozovsky, Leonid
7
2009
On Gaussian measure of balls in a Hilbert space. Zbl 1191.60045
Rozovsky, L. V.
3
2009
Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution. Zbl 1147.60309
Rozovsky, L. V.
1
2008
Small deviation probabilities for sums of independent positive random variables. Zbl 1137.60013
Rozovsky, L. V.
9
2007
Small deviation probabilities for a class of distributions with a polynomial decreasing at zero. Zbl 1101.60018
Rozovsky, L. V.
3
2005
On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law. II. Zbl 1103.60025
Rozovskij, L. V.
1
2005
On small deviation probabilities of positive random variables. Zbl 1080.60010
Rozovskij, L. V.
1
2004
Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT. Zbl 1074.60033
Rozovskij, L. V.
1
2004
Large deviation probabilities for some classes of distributions satisfying the Cramér condition. Zbl 1074.60035
Rozovskij, L. V.
2
2003
Superlarge deviations of a sum of independent random variables having a common absolutely continuous distribution under the Cramér condition. Zbl 1056.60023
Rozovskij, L. V.
1
2003
On exact asymptotics in the weak law of large numbers for sums of independent random variables with a common distribution function from the domain of attraction of a stable law. Zbl 1054.60031
Rozovskij, L. V.
1
2003
Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of attraction of the normal law. Zbl 1074.60034
Rozovskij, L. V.
2
2002
An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order. Zbl 1033.60030
Rozovskij, L. V.
1
2002
A lower bound of large-deviation probabilities for the sample mean under the Cramer condition. Zbl 1066.60030
Rozovskij, L. V.
2
2001
An extremal property of the uniform distribution and some of its consequences. Zbl 0967.60012
Rozovskij, L. V.
1
1999
On the J. Doob inequality for characteristic functions. Zbl 0967.60013
Rozovskij, L. V.
1
1999
On the Cramér series coefficients. Zbl 0957.60037
Rozovskij, L. V.
4
1998
Probabilities of large deviations of sums of independent random variables with a common distribution function from the domain of attraction of an asymmetric stable law. Zbl 0915.60044
Rozovskij, L. V.
2
1997
Probabilities of large deviations on the whole axis. Zbl 0801.60021
Rozovskij, L. V.
9
1993
Probabilities of large deviations of sums of independent random variables with common distribution function in the domain of attraction of the normal law. Zbl 0703.60024
Rozovskij, L. V.
11
1989
Rate of convergence in the weak law of large numbers. Zbl 0674.60023
Rozovskij, L. V.
1
1989
On the accuracy of approximation in limit theorems for large deviations. Zbl 0657.60044
Rozovskij, L. V.
1
1987
Asymptotic expansions for probabilities of large deviations. Zbl 0611.60022
Rozovsky, L. V.
3
1986
On probabilities of large deviations in some classes of k-dimensional Borel sets. Zbl 0574.60035
Rozovsky, L. V.
1
1985
Probabilities of large deviations on Borel sets. Zbl 0528.60026
Rozovskij, L. V.
1
1983
Estimates of the rate of convergence in the strong law of large numbers. Zbl 0569.60027
Rozovskij, L. V.
1
1983
Limit theorems on large deviations in a narrow zone. Zbl 0488.60038
Rozovskij, L. V.
1
1982
On limit theorems on large deviations in narrow zones. Zbl 0474.60025
Rozovskij, L. V.
6
1981
On the relation of the convergence rate in the weak and the strong law of large numbers. Zbl 0466.60032
Rozovskij, L. V.
1
1981
Estimates of the convergence rate in the weak law of large numbers. Zbl 0463.60029
Rozovskij, L. V.
1
1980
On the precision of an estimate of the remainder term in the central limit theorem. Zbl 0421.60023
Rozovskij, L. V.
9
1979
Eine Abschätzung der Konvergenzgeschwindigkeit in einem mehrdimensionalen zentralen Grenzwertsatz ohne Momentvoraussetzungen. Zbl 0381.60021
Rozovskii, L. V.
3
1978
About the many-dimensional local limit theorem for the case of the convergence to the normal law. Zbl 0377.60026
Rozovskii, L. V.
2
1978
On asymptotic expansions for the probability functions of sums of independent random vectors. I. Zbl 0393.60012
Rozovskii, L. V.
1
1978
An estimate of the speed of convergence in the multidimensional central limit theorem without moment hypotheses. Zbl 0404.60032
Rozovskii, L. V.
1
1978
On the convergence of distribution functions of a sequence of sums of independent random variables to the normal law in \(L_p\). Zbl 0352.60039
Rozovskii, L. V.
5
1976
Asymptotic expansions in the central limit theorem. Zbl 0347.60020
Rozovskii, L. V.
2
1975
Über die Konvergenzgeschwindigkeit im Lindeberg-Fellerschen Satz. Zbl 0276.60033
Rozovskii, L. V.
4
1974
Asymptotic expansions of the probability functions of sums of independent random vectors. I, II. Zbl 0277.60038
Rozovskii, L. V.
4
1974
Asymptotische Entwicklungen der Wahrscheinlichkeitsfunktionen von Summen unabhängiger Zufallsvektoren. I, II. Zbl 0264.60035
Rozovskii, L. V.
4
1973

Citations by Year