Probabilities of large deviations on the whole axis. Zbl 0801.60021
Rozovskij, L. V. |
|
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. |
|
1989
|
Small deviation probabilities for sums of independent positive random variables. Zbl 1137.60013
Rozovsky, L. V. |
|
2007
|
On the precision of an estimate of the remainder term in the central limit theorem. Zbl 0421.60023
Rozovskij, L. V. |
|
1979
|
Remarks on a link between the Laplace transform and distribution function of a nonnegative random variable. Zbl 1172.60305
Rozovsky, Leonid |
|
2009
|
Über die Konvergenzgeschwindigkeit im Lindeberg-Fellerschen Satz. Zbl 0276.60033
Rozovskii, L. V. |
|
1974
|
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 |
|
2009
|
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. |
|
1976
|
On limit theorems on large deviations in narrow zones. Zbl 0474.60025
Rozovskij, L. V. |
|
1981
|
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. |
|
2016
|
Small deviation probabilities of weighted sums under minimal moment assumptions. Zbl 1296.60118
Rozovsky, L. V. |
|
2014
|
On small deviations of series of weighted positive random variables. Zbl 1290.60052
Rozovsky, L. V. |
|
2011
|
Small deviations of series of independent nonnegative random variables with smooth weights. Zbl 1321.60069
Rozovsky, L. V. |
|
2014
|
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. |
|
2003
|
On the Cramér series coefficients. Zbl 0957.60037
Rozovskij, L. V. |
|
1998
|
Asymptotische Entwicklungen der Wahrscheinlichkeitsfunktionen von Summen unabhängiger Zufallsvektoren. I, II. Zbl 0264.60035
Rozovskii, L. V. |
|
1973
|
Asymptotic expansions of the probability functions of sums of independent random vectors. I, II. Zbl 0277.60038
Rozovskii, L. V. |
|
1974
|
Asymptotic expansions for probabilities of large deviations. Zbl 0611.60022
Rozovsky, L. V. |
|
1986
|
Comparison theorems for small deviations of weighted series. Zbl 1270.60054
Rozovsky, L. V. |
|
2012
|
Small ball probabilities for certain Gaussian random fields. Zbl 1422.60077
Rozovsky, Leonid V. |
|
2019
|
Small deviation probabilities for sums of independent positive random variables with a distribution that slowly varies at zero. Zbl 1359.60047
Rozovsky, L. V. |
|
2015
|
Small deviation probabilities of weighted sums with fast decreasing weights. Zbl 1322.60038
Rozovsky, Leonid V. |
|
2015
|
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. |
|
2018
|
A lower bound of large-deviation probabilities for the sample mean under the Cramer condition. Zbl 1066.60030
Rozovskij, L. V. |
|
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. |
|
2002
|
On the J. Doob inequality for characteristic functions. Zbl 0967.60013
Rozovskij, L. V. |
|
1999
|
Large deviation probabilities for some classes of distributions satisfying the Cramér condition. Zbl 1074.60035
Rozovskij, L. V. |
|
2003
|
Small deviation probabilities for a class of distributions with a polynomial decreasing at zero. Zbl 1101.60018
Rozovsky, L. V. |
|
2005
|
Eine Abschätzung der Konvergenzgeschwindigkeit in einem mehrdimensionalen zentralen Grenzwertsatz ohne Momentvoraussetzungen. Zbl 0381.60021
Rozovskii, L. V. |
|
1978
|
On Gaussian measure of balls in a Hilbert space. Zbl 1191.60045
Rozovsky, L. V. |
|
2009
|
Über eine Abschätzung des Restgliedes von unten im zentralen Grenzwertsatz. Zbl 0396.60026
Rozovskii, L. V. |
|
1978
|
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. |
|
1997
|
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. |
|
2016
|
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. |
|
2005
|
Estimate from below for large deviation probabilities of a sum of independent random variables with finite variances. Zbl 0997.60016
Rozovskij, L. V. |
|
1999
|
An extremal property of the uniform distribution and some of its consequences. Zbl 0967.60012
Rozovskij, L. V. |
|
1999
|
Asymptotic expansions in the central limit theorem. Zbl 0347.60020
Rozovskii, L. V. |
|
1975
|
About the many-dimensional local limit theorem for the case of the convergence to the normal law. Zbl 0377.60026
Rozovskii, L. V. |
|
1978
|
One more on the convergence rates in precise asymptotics. Zbl 1457.60045
Rozovsky, L. V. |
|
2021
|
Limit theorems on large deviations in a narrow zone. Zbl 0488.60038
Rozovskij, L. V. |
|
1982
|
On the exact asymptotics of small deviations of \(L_2\)-norm for some Gaussian random fields. Zbl 1442.60060
Rozovsky, L. V. |
|
2019
|
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. |
|
2016
|
Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution. Zbl 1147.60309
Rozovsky, L. V. |
|
2008
|
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. |
|
2018
|
Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails. Zbl 1230.60027
Rozovsky, Leonid |
|
2012
|
Small deviation probabilities for sums of independent positive random variables whose density has a power decay at zero. Zbl 1284.60088
Rozovsky, L. V. |
|
2013
|
Integro-local CLT for sums of independent nonlattice random vectors. Zbl 1478.60091
Rozovsky, L. V. |
|
2019
|
Superlarge deviation probabilities for sums of independent random variables with exponentially decreasing tails. II. Zbl 1314.60080
Rozovsky, L. V. |
|
2015
|
On the convergence conditions of the generalized Spitzer series. Zbl 1284.60089
Rozovsky, L. V. |
|
2013
|
Large deviations of sums of independent random variables from the domain of attraction of a stable law. Zbl 0929.60019
Rozovskij, L. V. |
|
1996
|
On small deviation probabilities of positive random variables. Zbl 1080.60010
Rozovskij, L. V. |
|
2004
|
On the convergence rate in precise asymptotics. Zbl 1515.60075
Rozovsky, L. V. |
|
2023
|
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. |
|
2003
|
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. |
|
2002
|
Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT. Zbl 1074.60033
Rozovskij, L. V. |
|
2004
|
On the accuracy of approximation in limit theorems for large deviations. Zbl 0657.60044
Rozovskij, L. V. |
|
1987
|
Rate of convergence in the weak law of large numbers. Zbl 0674.60023
Rozovskij, L. V. |
|
1989
|
On the accuracy of the approximation of characteristic functions by polynomials. Zbl 0598.41010
Rozovskij, L. V. |
|
1985
|
Accuracy of the approximation of characteristic functions by polynomials. Zbl 0613.41007
Rozovskij, L. V. |
|
1987
|
Estimates of the rate of convergence in the strong law of large numbers. Zbl 0569.60027
Rozovskij, L. V. |
|
1983
|
On probabilities of large deviations in some classes of k-dimensional Borel sets. Zbl 0574.60035
Rozovsky, L. V. |
|
1985
|
On large deviations of a sum of independent random variables with rapidly decreasing distribution tails. Zbl 1474.60064
Rozovsky, L. V. |
|
2020
|
Probabilities of large deviations on Borel sets. Zbl 0528.60026
Rozovskij, L. V. |
|
1983
|
On the relation of the convergence rate in the weak and the strong law of large numbers. Zbl 0466.60032
Rozovskij, L. V. |
|
1981
|
Estimates of the convergence rate in the weak law of large numbers. Zbl 0463.60029
Rozovskij, L. V. |
|
1980
|
The Chernoff-type large deviations for sums with a random normalization. Zbl 1191.60035
Rozovsky, L. V. |
|
2009
|
On the behavior of the log Laplace transform of series of weighted non-negative random variables at infinity. Zbl 1195.60068
Rozovsky, Leonid |
|
2010
|
On asymptotic expansions for the probability functions of sums of independent random vectors. I. Zbl 0393.60012
Rozovskii, L. V. |
|
1978
|
An estimate of the speed of convergence in the multidimensional central limit theorem without moment hypotheses. Zbl 0404.60032
Rozovskii, L. V. |
|
1978
|
Variance and the weighted AM-GM inequality. Zbl 1482.26054
Rozovsky, Leonid V. |
|
2021
|
On the convergence rate in precise asymptotics. Zbl 1515.60075
Rozovsky, L. V. |
|
2023
|
One more on the convergence rates in precise asymptotics. Zbl 1457.60045
Rozovsky, L. V. |
|
2021
|
Variance and the weighted AM-GM inequality. Zbl 1482.26054
Rozovsky, Leonid V. |
|
2021
|
On large deviations of a sum of independent random variables with rapidly decreasing distribution tails. Zbl 1474.60064
Rozovsky, L. V. |
|
2020
|
Small ball probabilities for certain Gaussian random fields. Zbl 1422.60077
Rozovsky, Leonid V. |
|
2019
|
On the exact asymptotics of small deviations of \(L_2\)-norm for some Gaussian random fields. Zbl 1442.60060
Rozovsky, L. V. |
|
2019
|
Integro-local CLT for sums of independent nonlattice random vectors. Zbl 1478.60091
Rozovsky, L. V. |
|
2019
|
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. |
|
2018
|
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. |
|
2018
|
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. |
|
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. |
|
2016
|
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. |
|
2016
|
Small deviation probabilities for sums of independent positive random variables with a distribution that slowly varies at zero. Zbl 1359.60047
Rozovsky, L. V. |
|
2015
|
Small deviation probabilities of weighted sums with fast decreasing weights. Zbl 1322.60038
Rozovsky, Leonid V. |
|
2015
|
Superlarge deviation probabilities for sums of independent random variables with exponentially decreasing tails. II. Zbl 1314.60080
Rozovsky, L. V. |
|
2015
|
Small deviation probabilities of weighted sums under minimal moment assumptions. Zbl 1296.60118
Rozovsky, L. V. |
|
2014
|
Small deviations of series of independent nonnegative random variables with smooth weights. Zbl 1321.60069
Rozovsky, L. V. |
|
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. |
|
2013
|
On the convergence conditions of the generalized Spitzer series. Zbl 1284.60089
Rozovsky, L. V. |
|
2013
|
Comparison theorems for small deviations of weighted series. Zbl 1270.60054
Rozovsky, L. V. |
|
2012
|
Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails. Zbl 1230.60027
Rozovsky, Leonid |
|
2012
|
On small deviations of series of weighted positive random variables. Zbl 1290.60052
Rozovsky, L. V. |
|
2011
|
On the behavior of the log Laplace transform of series of weighted non-negative random variables at infinity. Zbl 1195.60068
Rozovsky, Leonid |
|
2010
|
Remarks on a link between the Laplace transform and distribution function of a nonnegative random variable. Zbl 1172.60305
Rozovsky, Leonid |
|
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 |
|
2009
|
On Gaussian measure of balls in a Hilbert space. Zbl 1191.60045
Rozovsky, L. V. |
|
2009
|
The Chernoff-type large deviations for sums with a random normalization. Zbl 1191.60035
Rozovsky, L. V. |
|
2009
|
Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution. Zbl 1147.60309
Rozovsky, L. V. |
|
2008
|
Small deviation probabilities for sums of independent positive random variables. Zbl 1137.60013
Rozovsky, L. V. |
|
2007
|
Small deviation probabilities for a class of distributions with a polynomial decreasing at zero. Zbl 1101.60018
Rozovsky, L. V. |
|
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. |
|
2005
|
On small deviation probabilities of positive random variables. Zbl 1080.60010
Rozovskij, L. V. |
|
2004
|
Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT. Zbl 1074.60033
Rozovskij, L. V. |
|
2004
|
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. |
|
2003
|
Large deviation probabilities for some classes of distributions satisfying the Cramér condition. Zbl 1074.60035
Rozovskij, L. V. |
|
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. |
|
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. |
|
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. |
|
2002
|
A lower bound of large-deviation probabilities for the sample mean under the Cramer condition. Zbl 1066.60030
Rozovskij, L. V. |
|
2001
|
On the J. Doob inequality for characteristic functions. Zbl 0967.60013
Rozovskij, L. V. |
|
1999
|
Estimate from below for large deviation probabilities of a sum of independent random variables with finite variances. Zbl 0997.60016
Rozovskij, L. V. |
|
1999
|
An extremal property of the uniform distribution and some of its consequences. Zbl 0967.60012
Rozovskij, L. V. |
|
1999
|
On the Cramér series coefficients. Zbl 0957.60037
Rozovskij, L. V. |
|
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. |
|
1997
|
Large deviations of sums of independent random variables from the domain of attraction of a stable law. Zbl 0929.60019
Rozovskij, L. V. |
|
1996
|
Probabilities of large deviations on the whole axis. Zbl 0801.60021
Rozovskij, L. V. |
|
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. |
|
1989
|
Rate of convergence in the weak law of large numbers. Zbl 0674.60023
Rozovskij, L. V. |
|
1989
|
On the accuracy of approximation in limit theorems for large deviations. Zbl 0657.60044
Rozovskij, L. V. |
|
1987
|
Accuracy of the approximation of characteristic functions by polynomials. Zbl 0613.41007
Rozovskij, L. V. |
|
1987
|
Asymptotic expansions for probabilities of large deviations. Zbl 0611.60022
Rozovsky, L. V. |
|
1986
|
On the accuracy of the approximation of characteristic functions by polynomials. Zbl 0598.41010
Rozovskij, L. V. |
|
1985
|
On probabilities of large deviations in some classes of k-dimensional Borel sets. Zbl 0574.60035
Rozovsky, L. V. |
|
1985
|
Estimates of the rate of convergence in the strong law of large numbers. Zbl 0569.60027
Rozovskij, L. V. |
|
1983
|
Probabilities of large deviations on Borel sets. Zbl 0528.60026
Rozovskij, L. V. |
|
1983
|
Limit theorems on large deviations in a narrow zone. Zbl 0488.60038
Rozovskij, L. V. |
|
1982
|
On limit theorems on large deviations in narrow zones. Zbl 0474.60025
Rozovskij, L. V. |
|
1981
|
On the relation of the convergence rate in the weak and the strong law of large numbers. Zbl 0466.60032
Rozovskij, L. V. |
|
1981
|
Estimates of the convergence rate in the weak law of large numbers. Zbl 0463.60029
Rozovskij, L. V. |
|
1980
|
On the precision of an estimate of the remainder term in the central limit theorem. Zbl 0421.60023
Rozovskij, L. V. |
|
1979
|
Eine Abschätzung der Konvergenzgeschwindigkeit in einem mehrdimensionalen zentralen Grenzwertsatz ohne Momentvoraussetzungen. Zbl 0381.60021
Rozovskii, L. V. |
|
1978
|
Über eine Abschätzung des Restgliedes von unten im zentralen Grenzwertsatz. Zbl 0396.60026
Rozovskii, L. V. |
|
1978
|
About the many-dimensional local limit theorem for the case of the convergence to the normal law. Zbl 0377.60026
Rozovskii, L. V. |
|
1978
|
On asymptotic expansions for the probability functions of sums of independent random vectors. I. Zbl 0393.60012
Rozovskii, L. V. |
|
1978
|
An estimate of the speed of convergence in the multidimensional central limit theorem without moment hypotheses. Zbl 0404.60032
Rozovskii, L. V. |
|
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. |
|
1976
|
Asymptotic expansions in the central limit theorem. Zbl 0347.60020
Rozovskii, L. V. |
|
1975
|
Über die Konvergenzgeschwindigkeit im Lindeberg-Fellerschen Satz. Zbl 0276.60033
Rozovskii, L. V. |
|
1974
|
Asymptotic expansions of the probability functions of sums of independent random vectors. I, II. Zbl 0277.60038
Rozovskii, L. V. |
|
1974
|
Asymptotische Entwicklungen der Wahrscheinlichkeitsfunktionen von Summen unabhängiger Zufallsvektoren. I, II. Zbl 0264.60035
Rozovskii, L. V. |
|
1973
|