# zbMATH — the first resource for mathematics

## Rosalsky, Andrew

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 Author ID: rosalsky.andrew Published as: Rosalsky, A.; Rosalsky, Andrew; Rosalskyj, A. Homepage: https://people.clas.ufl.edu/rosalsky/
 Documents Indexed: 129 Publications since 1980
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#### Co-Authors

 18 single-authored 32 Li, Deli 21 Volodin, Andrei I. 15 Adler, André Bruce 13 Hu, Tienchung 10 Qi, Yongcheng 6 Volodin, Andrej I. 5 Taylor, Robert Lee 4 Cantrell, Amy 4 Klesov, Oleg I. 4 Lê Van Thanh 4 Wu, Yongfeng 3 Ahmed, Syed Ejaz 3 Cabrera, Manuel Ordóñez 3 Liang, Hanying 3 Nam, Eunwoo 3 Sreehari, Maddipatla 3 Thanh, Le Van 3 Wang, Kuo-Lung 2 Chandra, Tapas Kumar 2 Einmahl, John H. J. 2 Liao, Yuan 2 Rosenblatt, Joseph Max 2 Wang, Xuejun 2 Wu, Yi 1 Al-Mutairi, Dhaifalla K. 1 Chang, Shuhua 1 Chen, Pingyan 1 Csörgő, Sándor 1 Hu, Te-Chiang 1 Huang, Chiung-Yu 1 Huang, Meiling 1 Linero Bas, Antonio 1 Liu, Dong 1 Liu, Weidong 1 Nguyen, Bao-Em 1 Num, E. 1 Parker, Richard H. 1 Parker, Robert L. 1 Presnell, Brett 1 Stoica, George 1 Stoyanov, Jordan M. 1 Szynal, Dominik 1 Teicher, Henry 1 Thuy, Nguyen Thi Bich 1 Ünver, Mehmet 1 Wackerly, Dennis D. 1 Yang, Mark C. K. 1 Zhang, Fuxing 1 Zhang, Mingyang
all top 5

#### Serials

 30 Stochastic Analysis and Applications 14 Statistics & Probability Letters 7 Bulletin of the Institute of Mathematics. Academia Sinica 7 Acta Mathematica Sinica. English Series 6 Calcutta Statistical Association. Bulletin 6 International Journal of Mathematics and Mathematical Sciences 4 Sankhyā. Series A. Methods and Techniques 4 Journal of Theoretical Probability 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Planning and Inference 3 Probability and Mathematical Statistics 3 Applications of Mathematics 3 Lobachevskii Journal of Mathematics 2 Journal of Multivariate Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Glasnik Matematički. Serija III 2 Stochastic Processes and their Applications 2 Georgian Mathematical Journal 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Sankhyā. Series A 1 Theory of Probability and its Applications 1 Acta Scientiarum Mathematicarum 1 The Annals of Probability 1 Chinese Journal of Mathematics 1 Journal of Applied Probability 1 Journal of the Korean Mathematical Society 1 The Mathematical Scientist 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability Theory and Related Fields 1 Pakistan Journal of Statistics 1 The Annals of Applied Probability 1 Test 1 Journal of Applied Statistical Science 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Communications in Applied Analysis 1 Stochastics 1 Sankhyā 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 127 Probability theory and stochastic processes (60-XX) 17 Statistics (62-XX) 4 Functional analysis (46-XX) 2 Sequences, series, summability (40-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX)

#### Citations contained in zbMATH

92 Publications have been cited 509 times in 307 Documents Cited by Year
Some general strong laws for weighted sums of stochastically dominated random variables. Zbl 0617.60028
Adler, André; Rosalsky, Andrew
1987
Strong laws of large numbers for weighted sums of random elements in normed linear spaces. Zbl 0679.60009
Adler, Andre; Rosalsky, Andrew; Taylor, Robert L.
1989
On complete convergence for arrays of rowwise independent random elements in Banach spaces. Zbl 0940.60032
Hu, Tien-Chung; Rosalsky, Andrew; Szynal, Dominik; Volodin, Andrej I.
1999
Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables. Zbl 1318.60036
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrei
2012
Complete convergence theorems for extended negatively dependent random variables. Zbl 1317.60027
Hu, Tien-Chung; Wang, Kuo-Lung; Rosalsky, Andrew
2015
Complete moment and integral convergence for sums of negatively associated random variables. Zbl 1189.60064
Liang, Han Ying; Li, De Li; Rosalsky, Andrew
2010
On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables. Zbl 1070.60030
Klesov, Oleg; Rosalsky, Andrew; Volodin, Andrei I.
2005
Strong and weak laws of large numbers for double sums of independent random elements in Rademacher type $$p$$ Banach spaces. Zbl 1112.60002
Rosalsky, Andrew; Van Thanh, Le
2006
On the limiting behavior of randomly weighted partial sums. Zbl 0937.60014
Rosalsky, Andrew; Sreehari, M.
1998
A mean convergence theorem and weak law for arrays of random elements in martingale type $$p$$ Banach spaces. Zbl 0874.60008
Adler, André; Rosalsky, Andrew; Volodin, Andrej I.
1997
Some strong limit theorems for the largest entries of sample correlation matrices. Zbl 1098.60034
Li, Deli; Rosalsky, Andrew
2006
Necessary and sufficient conditions for the asymptotic distribution of the largest entry of a sample correlation matrix. Zbl 1210.62010
Li, Deli; Liu, Wei-Dong; Rosalsky, Andrew
2010
On convergence properties of sums of dependent random variables under second moment and covariance restrictions. Zbl 1283.60049
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2008
A survey of limit laws for bootstrapped sums. Zbl 1036.60018
Csörgő, Sándor; Rosalsky, Andrew
2003
On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1035.60004
Hu, T.-C.; Li, D.; Rosalsky, A.; Volodin, A. I.
2002
Some strong laws of large numbers for sums of random elements. Zbl 0780.60009
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1992
On complete convergence in mean of normed sums of independent random elements in Banach spaces. Zbl 1087.60009
Rosalsky, Andrew; Le Van Thanh; Volodin, Andrei I.
2006
On Jiang’s asymptotic distribution of the largest entry of a sample correlation matrix. Zbl 1275.62037
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2012
On almost sure and mean convergence of normed double sums of Banach space valued random elements. Zbl 1124.60007
Rosalsky, Andrew; Le Van Thanh
2007
Almost sure lim sup behavior of bootstrapped means with applications to pairwise i. i. d. sequences and stationary ergodic sequences. Zbl 0977.62051
Ahmed, S. E.; Li, Deli; Rosalsky, Andrew; Volodin, Andrei I.
2001
On the weak law of large numbers for normed weighted sums of i.i.d. random variables. Zbl 0727.60022
Adler, André; Rosalsky, Andrew
1991
On the Chow-Robbins “fair” games problem. Zbl 0696.60030
Adler, André; Rosalsky, Andrew
1989
On the strong law of large numbers for sequences of pairwise negative quadrant dependent random variables. Zbl 1102.60026
Li, Deli; Rosalsky, Andrew; Volodin, Andrei I.
2006
A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. Zbl 0990.60027
Klesov, Oleg; Rosalsky, Andrew
2001
A limit theorem for double arrays. Zbl 0479.60034
Rosalsky, Andrew; Teicher, Henry
1981
Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications. Zbl 1394.60021
Wang, Xuejun; Wu, Yi; Rosalsky, Andrew
2017
A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type $$p$$ Banach spaces. Zbl 1237.60022
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2012
On the strong law of large numbers for sequences of blockwise independent and blockwise $$p$$-orthogonal random elements in Rademacher type $$p$$ Banach spaces. Zbl 1148.60018
Rosalsky, Andrew; Le Van Thanh
2007
Complete convergence of bootstrapped means and moments of the supremum of normed bootstrapped sums. Zbl 1069.62528
Li, Deli; Rosalsky, Andrew; Ahmed, S. E.
1999
On the almost certain limiting behavior of normed sums of identically distributed positive random variables. Zbl 0765.60020
Rosalsky, Andrew
1993
A weak law for normed weighted sums of random elements in Rademacher type $$p$$ Banach spaces. Zbl 0735.60004
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1991
A large deviation principle for bootstrapped sample means. Zbl 0997.62039
Li, Deli; Rosalsky, Andrew; Al-Mutairi, Dhaifalla K.
2002
Degenerate weak convergence of row sums for arrays of random elements in stable type $$p$$ Banach spaces. Zbl 0980.60011
Adler, André; Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrej I.
1999
Weak laws with random indices for arrays of random elements in Rademacher type $$p$$ Banach spaces. Zbl 0884.60007
Adler, André; Rosalsky, Andrew; Volodin, Andrej I.
1997
On the strong law of large numbers for normed weighted sums of i.i.d. random variables. Zbl 0636.60027
Adler, André; Rosalsky, Andrew
1987
Almost certain limiting behavior of the tail series of independent summands. Zbl 0517.60032
Rosalsky, Andrew
1983
On the converse to the iterated logarithm law. Zbl 0486.60031
Rosalsky, Andrew
1980
A note on the de La Vallée Poussin criterion for uniform integrability. Zbl 1205.60008
Hu, Tien-Chung; Rosalsky, Andrew
2011
Weak laws of large numbers of double sums of independent random elements in Rademacher type $$p$$ and stable type $$p$$ Banach spaces. Zbl 1238.60008
Rosalsky, Andrew; Le Van Thanh
2009
Some strong laws of large numbers for Banach space valued summands irrespective of their joint distributions. Zbl 1034.60005
Cantrell, Amy; Rosalsky, Andrew
2003
A weak law with random indices for randomly weighted sums of random elements in martingale type $$p$$ Banach spaces. Zbl 1042.60501
Rosalsky, Andrew; Sreehari, M.
2001
On the rate of convergence of series of Banach space valued random elements. Zbl 0893.60002
Rosalsky, Andrew; Rosenblatt, Joseph
1997
Lim sup behavior of sums of geometrically weighted i.i.d. random variables. Zbl 0458.60022
Rosalsky, Andrew
1981
A generalization of the iterated logarithm law for weighted sums with infinite variance. Zbl 0458.60021
Rosalsky, Andrew
1981
A note on random variables with an infinite absolute first moment. Zbl 1314.60071
Hu, Tien-Chung; Rosalsky, Andrew
2015
On the Toeplitz lemma, convergence in probability, and mean convergence. Zbl 1273.60029
Linero, Antonio; Rosalsky, Andrew
2013
A refinement of the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers. Zbl 1233.60017
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2011
On the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm. Zbl 1120.60026
Li, De Li; Rosalsky, Andrew; Volodin, Andrei
2007
A supplement to the Davis–Gut law. Zbl 1123.60018
Li, Deli; Rosalsky, Andrew
2007
On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean. Zbl 1078.60017
Ahmed, S. Ejaz; Li, Deli; Rosalsky, Andrew; Volodin, Andrei
2005
A supplement to precise asymptotics in the law of the iterated logarithm. Zbl 1061.60027
Li, Deli; Nguyen, Bao-Em; Rosalsky, Andrew
2005
Mean convergence theorems with or without random indices for randomly weighted sums of random elements in Rademacher type $$p$$ Banach spaces. Zbl 1038.60025
Rosalsky, Andrew; Sreehari, M.; Volodin, Andrei I.
2003
A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. II. Zbl 1011.60011
Klesov, Oleg; Rosalsky, Andrew
2002
On the convergence rate of series of independent random variables. Zbl 0882.60026
Nam, Eunwoo; Rosalsky, Andrew
1996
A strong law for a set-indexed partial sum process with applications to exchangeable and stationary sequences. Zbl 0634.60026
Rosalsky, Andrew
1987
Complete moment convergence for arrays of rowwise widely orthant dependent random variables. Zbl 1404.60041
Wu, Yi; Wang, Xue Jun; Rosalsky, Andrew
2018
On the laws of large numbers for double arrays of independent random elements in Banach spaces. Zbl 1305.60022
Rosalsky, Andrew; Thanh, Le Van; Thuy, Nguyen Thi
2014
Some mean convergence and complete convergence theorems for sequences of $$m$$-linearly negative quadrant dependent random variables. Zbl 1299.60047
Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei
2013
On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions. Zbl 1196.60050
Rosalsky, Andrew; Stoica, George
2010
On the set of limit points of normed sums of geometrically weighted I.I.D. Bounded random variables. Zbl 1193.60043
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2010
Iterated logarithm type behavior for weighted sums of i.i.d. random variables. Zbl 1158.60334
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2009
A supplement to the Einmahl-Li results on two-sided iterated logarithm type behavior for I.I.D. Random variables. Zbl 1151.60321
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2008
A supplement to the Baum-Katz-Spitzer complete convergence theorem. Zbl 1131.60002
Li, De Li; Zhang, Fu Xing; Rosalsky, Andrew
2007
Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables. Zbl 1082.60017
Li, Deli; Rosalsky, Andrew
2004
On the strong law of large numbers for sums of independent Banach space valued random elements. Zbl 1011.60012
Cantrell, Amy; Rosalsky, Andrew
2002
Strong invariance principles for arrays. Zbl 0968.60028
Li, Deli; Huang, Mei Ling; Rosalsky, Andrew
2000
On convergence of series of independent random elements in Banach spaces. Zbl 0922.60018
Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrej I.
1999
On the rate of convergence of series of random variables. Zbl 0941.60043
Num, E.; Rosalskyj, A.
1995
On the limiting behavior of a random walk. Zbl 0786.60097
Rosalsky, Andrew
1993
Strong stability of normed weighted sums of pairwise i.i.d. random variables. Zbl 0629.60034
Rosalsky, Andrew
1987
Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type $$p$$ and martingale type $$p$$ Banach spaces. Zbl 1423.60057
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2019
An extension of Feller’s strong law of large numbers. Zbl 1378.60061
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew
2018
A note on symmetrization procedures for the laws of large numbers. Zbl 1354.60028
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew
2017
On uniform nonintegrability for a sequence of random variables. Zbl 1342.60081
Chandra, Tapas K.; Hu, Tien-Chung; Rosalsky, Andrew
2016
A characterization of a new type of strong law of large numbers. Zbl 1335.60041
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2016
Strong convergence for $$m$$-pairwise negatively quadrant dependent random variables. Zbl 1323.60053
Wu, Yongfeng; Rosalsky, Andrew
2015
On almost sure convergence of series of random variables irrespective of their joint distributions. Zbl 1296.60076
Rosalsky, Andrew; Volodin, Andrei
2014
Some strong laws for normed weighted sums of stochastically dominated Banach space valued random elements irrespective of their joint distributions. Zbl 1268.60039
Liao, Yuan; Rosalsky, Andrew
2013
New versions of some classical stochastic inequalities. Zbl 1275.60009
Li, Deli; Rosalsky, Andrew
2013
On the set of limit points of normed sums of geometrically weighted i.i.d. unbounded random variables. Zbl 1203.60034
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2010
On the weak law with random indices for arrays of Banach space valued random elements. Zbl 1192.60015
Rosalsky, Andrew; Volodin, Andrei
2007
On the golden ratio, strong law, and first passage problem. Zbl 1098.60033
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei I.
2005
General weak laws of large numbers for bootstrap sample means. Zbl 1115.60026
Einmahl, John H. J.; Rosalsky, Andrew
2005
Some strong and weak limit theorems for weighted sums of i.i.d. Banach space valued random elements with slowly varying weights. Zbl 1158.60305
Rosalsky, Andrew; Taylor, Robert L.
2004
A strong law for compactly uniformly integrable sequences of independent random elements in Banach spaces. Zbl 1047.60024
Cantrell, Amy; Rosalsky, Andrew
2004
Erdös -Rényi-Shepp laws for arrays with application to bootstrapped sample means. Zbl 1128.60306
Li, Deli; Rosalsky, Andrew
2002
On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with $$p$$-orthogonal summands. Zbl 1012.60008
Rosalsky, Andrew; Volodin, Andrei I.
2001
An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces. Zbl 0959.60016
Hu, Tien-Chung; Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrei I.
2000
On convergence of series of random variables with applications to martingale convergence and to convergence of series with orthogonal summands. Zbl 0906.60030
Rosalsky, Andrew; Rosenblatt, Joseph
1998
On the Azlarov-Volodin theorem for sums of i.i.d. random elements in Banach spaces. Zbl 0764.60007
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1992
A remark on the fluctuation behavior of i.i.d. Poisson random variables. Zbl 0519.60029
Rosalsky, Andrew
1983
On the growth of a random walk centered at a median. Zbl 0507.60061
Rosalsky, Andrew
1981
Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type $$p$$ and martingale type $$p$$ Banach spaces. Zbl 1423.60057
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2019
Complete moment convergence for arrays of rowwise widely orthant dependent random variables. Zbl 1404.60041
Wu, Yi; Wang, Xue Jun; Rosalsky, Andrew
2018
An extension of Feller’s strong law of large numbers. Zbl 1378.60061
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew
2018
Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications. Zbl 1394.60021
Wang, Xuejun; Wu, Yi; Rosalsky, Andrew
2017
A note on symmetrization procedures for the laws of large numbers. Zbl 1354.60028
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew
2017
On uniform nonintegrability for a sequence of random variables. Zbl 1342.60081
Chandra, Tapas K.; Hu, Tien-Chung; Rosalsky, Andrew
2016
A characterization of a new type of strong law of large numbers. Zbl 1335.60041
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2016
Complete convergence theorems for extended negatively dependent random variables. Zbl 1317.60027
Hu, Tien-Chung; Wang, Kuo-Lung; Rosalsky, Andrew
2015
A note on random variables with an infinite absolute first moment. Zbl 1314.60071
Hu, Tien-Chung; Rosalsky, Andrew
2015
Strong convergence for $$m$$-pairwise negatively quadrant dependent random variables. Zbl 1323.60053
Wu, Yongfeng; Rosalsky, Andrew
2015
On the laws of large numbers for double arrays of independent random elements in Banach spaces. Zbl 1305.60022
Rosalsky, Andrew; Thanh, Le Van; Thuy, Nguyen Thi
2014
On almost sure convergence of series of random variables irrespective of their joint distributions. Zbl 1296.60076
Rosalsky, Andrew; Volodin, Andrei
2014
On the Toeplitz lemma, convergence in probability, and mean convergence. Zbl 1273.60029
Linero, Antonio; Rosalsky, Andrew
2013
Some mean convergence and complete convergence theorems for sequences of $$m$$-linearly negative quadrant dependent random variables. Zbl 1299.60047
Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei
2013
Some strong laws for normed weighted sums of stochastically dominated Banach space valued random elements irrespective of their joint distributions. Zbl 1268.60039
Liao, Yuan; Rosalsky, Andrew
2013
New versions of some classical stochastic inequalities. Zbl 1275.60009
Li, Deli; Rosalsky, Andrew
2013
Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables. Zbl 1318.60036
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrei
2012
On Jiang’s asymptotic distribution of the largest entry of a sample correlation matrix. Zbl 1275.62037
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2012
A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type $$p$$ Banach spaces. Zbl 1237.60022
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2012
A note on the de La Vallée Poussin criterion for uniform integrability. Zbl 1205.60008
Hu, Tien-Chung; Rosalsky, Andrew
2011
A refinement of the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers. Zbl 1233.60017
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2011
Complete moment and integral convergence for sums of negatively associated random variables. Zbl 1189.60064
Liang, Han Ying; Li, De Li; Rosalsky, Andrew
2010
Necessary and sufficient conditions for the asymptotic distribution of the largest entry of a sample correlation matrix. Zbl 1210.62010
Li, Deli; Liu, Wei-Dong; Rosalsky, Andrew
2010
On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions. Zbl 1196.60050
Rosalsky, Andrew; Stoica, George
2010
On the set of limit points of normed sums of geometrically weighted I.I.D. Bounded random variables. Zbl 1193.60043
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2010
On the set of limit points of normed sums of geometrically weighted i.i.d. unbounded random variables. Zbl 1203.60034
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2010
Weak laws of large numbers of double sums of independent random elements in Rademacher type $$p$$ and stable type $$p$$ Banach spaces. Zbl 1238.60008
Rosalsky, Andrew; Le Van Thanh
2009
Iterated logarithm type behavior for weighted sums of i.i.d. random variables. Zbl 1158.60334
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2009
On convergence properties of sums of dependent random variables under second moment and covariance restrictions. Zbl 1283.60049
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2008
A supplement to the Einmahl-Li results on two-sided iterated logarithm type behavior for I.I.D. Random variables. Zbl 1151.60321
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew
2008
On almost sure and mean convergence of normed double sums of Banach space valued random elements. Zbl 1124.60007
Rosalsky, Andrew; Le Van Thanh
2007
On the strong law of large numbers for sequences of blockwise independent and blockwise $$p$$-orthogonal random elements in Rademacher type $$p$$ Banach spaces. Zbl 1148.60018
Rosalsky, Andrew; Le Van Thanh
2007
On the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm. Zbl 1120.60026
Li, De Li; Rosalsky, Andrew; Volodin, Andrei
2007
A supplement to the Davis–Gut law. Zbl 1123.60018
Li, Deli; Rosalsky, Andrew
2007
A supplement to the Baum-Katz-Spitzer complete convergence theorem. Zbl 1131.60002
Li, De Li; Zhang, Fu Xing; Rosalsky, Andrew
2007
On the weak law with random indices for arrays of Banach space valued random elements. Zbl 1192.60015
Rosalsky, Andrew; Volodin, Andrei
2007
Strong and weak laws of large numbers for double sums of independent random elements in Rademacher type $$p$$ Banach spaces. Zbl 1112.60002
Rosalsky, Andrew; Van Thanh, Le
2006
Some strong limit theorems for the largest entries of sample correlation matrices. Zbl 1098.60034
Li, Deli; Rosalsky, Andrew
2006
On complete convergence in mean of normed sums of independent random elements in Banach spaces. Zbl 1087.60009
Rosalsky, Andrew; Le Van Thanh; Volodin, Andrei I.
2006
On the strong law of large numbers for sequences of pairwise negative quadrant dependent random variables. Zbl 1102.60026
Li, Deli; Rosalsky, Andrew; Volodin, Andrei I.
2006
On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables. Zbl 1070.60030
Klesov, Oleg; Rosalsky, Andrew; Volodin, Andrei I.
2005
On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean. Zbl 1078.60017
Ahmed, S. Ejaz; Li, Deli; Rosalsky, Andrew; Volodin, Andrei
2005
A supplement to precise asymptotics in the law of the iterated logarithm. Zbl 1061.60027
Li, Deli; Nguyen, Bao-Em; Rosalsky, Andrew
2005
On the golden ratio, strong law, and first passage problem. Zbl 1098.60033
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei I.
2005
General weak laws of large numbers for bootstrap sample means. Zbl 1115.60026
Einmahl, John H. J.; Rosalsky, Andrew
2005
Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables. Zbl 1082.60017
Li, Deli; Rosalsky, Andrew
2004
Some strong and weak limit theorems for weighted sums of i.i.d. Banach space valued random elements with slowly varying weights. Zbl 1158.60305
Rosalsky, Andrew; Taylor, Robert L.
2004
A strong law for compactly uniformly integrable sequences of independent random elements in Banach spaces. Zbl 1047.60024
Cantrell, Amy; Rosalsky, Andrew
2004
A survey of limit laws for bootstrapped sums. Zbl 1036.60018
Csörgő, Sándor; Rosalsky, Andrew
2003
Some strong laws of large numbers for Banach space valued summands irrespective of their joint distributions. Zbl 1034.60005
Cantrell, Amy; Rosalsky, Andrew
2003
Mean convergence theorems with or without random indices for randomly weighted sums of random elements in Rademacher type $$p$$ Banach spaces. Zbl 1038.60025
Rosalsky, Andrew; Sreehari, M.; Volodin, Andrei I.
2003
On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1035.60004
Hu, T.-C.; Li, D.; Rosalsky, A.; Volodin, A. I.
2002
A large deviation principle for bootstrapped sample means. Zbl 0997.62039
Li, Deli; Rosalsky, Andrew; Al-Mutairi, Dhaifalla K.
2002
A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. II. Zbl 1011.60011
Klesov, Oleg; Rosalsky, Andrew
2002
On the strong law of large numbers for sums of independent Banach space valued random elements. Zbl 1011.60012
Cantrell, Amy; Rosalsky, Andrew
2002
Erdös -Rényi-Shepp laws for arrays with application to bootstrapped sample means. Zbl 1128.60306
Li, Deli; Rosalsky, Andrew
2002
Almost sure lim sup behavior of bootstrapped means with applications to pairwise i. i. d. sequences and stationary ergodic sequences. Zbl 0977.62051
Ahmed, S. E.; Li, Deli; Rosalsky, Andrew; Volodin, Andrei I.
2001
A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. Zbl 0990.60027
Klesov, Oleg; Rosalsky, Andrew
2001
A weak law with random indices for randomly weighted sums of random elements in martingale type $$p$$ Banach spaces. Zbl 1042.60501
Rosalsky, Andrew; Sreehari, M.
2001
On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with $$p$$-orthogonal summands. Zbl 1012.60008
Rosalsky, Andrew; Volodin, Andrei I.
2001
Strong invariance principles for arrays. Zbl 0968.60028
Li, Deli; Huang, Mei Ling; Rosalsky, Andrew
2000
An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces. Zbl 0959.60016
Hu, Tien-Chung; Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrei I.
2000
On complete convergence for arrays of rowwise independent random elements in Banach spaces. Zbl 0940.60032
Hu, Tien-Chung; Rosalsky, Andrew; Szynal, Dominik; Volodin, Andrej I.
1999
Complete convergence of bootstrapped means and moments of the supremum of normed bootstrapped sums. Zbl 1069.62528
Li, Deli; Rosalsky, Andrew; Ahmed, S. E.
1999
Degenerate weak convergence of row sums for arrays of random elements in stable type $$p$$ Banach spaces. Zbl 0980.60011
Adler, André; Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrej I.
1999
On convergence of series of independent random elements in Banach spaces. Zbl 0922.60018
Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrej I.
1999
On the limiting behavior of randomly weighted partial sums. Zbl 0937.60014
Rosalsky, Andrew; Sreehari, M.
1998
On convergence of series of random variables with applications to martingale convergence and to convergence of series with orthogonal summands. Zbl 0906.60030
Rosalsky, Andrew; Rosenblatt, Joseph
1998
A mean convergence theorem and weak law for arrays of random elements in martingale type $$p$$ Banach spaces. Zbl 0874.60008
Adler, André; Rosalsky, Andrew; Volodin, Andrej I.
1997
Weak laws with random indices for arrays of random elements in Rademacher type $$p$$ Banach spaces. Zbl 0884.60007
Adler, André; Rosalsky, Andrew; Volodin, Andrej I.
1997
On the rate of convergence of series of Banach space valued random elements. Zbl 0893.60002
Rosalsky, Andrew; Rosenblatt, Joseph
1997
On the convergence rate of series of independent random variables. Zbl 0882.60026
Nam, Eunwoo; Rosalsky, Andrew
1996
On the rate of convergence of series of random variables. Zbl 0941.60043
Num, E.; Rosalskyj, A.
1995
On the almost certain limiting behavior of normed sums of identically distributed positive random variables. Zbl 0765.60020
Rosalsky, Andrew
1993
On the limiting behavior of a random walk. Zbl 0786.60097
Rosalsky, Andrew
1993
Some strong laws of large numbers for sums of random elements. Zbl 0780.60009
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1992
On the Azlarov-Volodin theorem for sums of i.i.d. random elements in Banach spaces. Zbl 0764.60007
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1992
On the weak law of large numbers for normed weighted sums of i.i.d. random variables. Zbl 0727.60022
Adler, André; Rosalsky, Andrew
1991
A weak law for normed weighted sums of random elements in Rademacher type $$p$$ Banach spaces. Zbl 0735.60004
Adler, André; Rosalsky, Andrew; Taylor, Robert L.
1991
Strong laws of large numbers for weighted sums of random elements in normed linear spaces. Zbl 0679.60009
Adler, Andre; Rosalsky, Andrew; Taylor, Robert L.
1989
On the Chow-Robbins “fair” games problem. Zbl 0696.60030
Adler, André; Rosalsky, Andrew
1989
Some general strong laws for weighted sums of stochastically dominated random variables. Zbl 0617.60028
Adler, André; Rosalsky, Andrew
1987
On the strong law of large numbers for normed weighted sums of i.i.d. random variables. Zbl 0636.60027
Adler, André; Rosalsky, Andrew
1987
A strong law for a set-indexed partial sum process with applications to exchangeable and stationary sequences. Zbl 0634.60026
Rosalsky, Andrew
1987
Strong stability of normed weighted sums of pairwise i.i.d. random variables. Zbl 0629.60034
Rosalsky, Andrew
1987
Almost certain limiting behavior of the tail series of independent summands. Zbl 0517.60032
Rosalsky, Andrew
1983
A remark on the fluctuation behavior of i.i.d. Poisson random variables. Zbl 0519.60029
Rosalsky, Andrew
1983
A limit theorem for double arrays. Zbl 0479.60034
Rosalsky, Andrew; Teicher, Henry
1981
Lim sup behavior of sums of geometrically weighted i.i.d. random variables. Zbl 0458.60022
Rosalsky, Andrew
1981
A generalization of the iterated logarithm law for weighted sums with infinite variance. Zbl 0458.60021
Rosalsky, Andrew
1981
On the growth of a random walk centered at a median. Zbl 0507.60061
Rosalsky, Andrew
1981
On the converse to the iterated logarithm law. Zbl 0486.60031
Rosalsky, Andrew
1980
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#### Cited by 322 Authors

 58 Rosalsky, Andrew 36 Volodin, Andrei I. 20 Hu, Tienchung 19 Li, Deli 17 Wang, Xuejun 15 Chen, Pingyan 12 Hu, Shuhe 12 Sung, Soohak 11 Adler, André Bruce 9 Wu, Yi 9 Yang, Wenzhi 8 Cabrera, Manuel Ordóñez 8 Qi, Yongcheng 7 Shen, Aiting 7 Thanh, Le Van 7 Wu, Qunying 7 Yuan, Demei 6 Jiang, Tiefeng 6 Qiu, Dehua 6 Wu, Yongfeng 5 Gut, Allan 5 Lê Van Thanh 5 Miao, Yu 5 Quang, Nguyen Van 4 Ko, Mi-Hwa 4 Li, Xiaoqin 4 Taylor, Robert Lee 4 Wang, Dingcheng 4 Wang, Xinghui 3 Alvarez-Andrade, Sergio 3 Baek, Jong-Il 3 Cai, Tony Tony 3 Cantrell, Amy 3 Chandra, Tapas Kumar 3 Hong, Dug Hun 3 Huang, Haiwu 3 Klesov, Oleg I. 3 Lita da Silva, João 3 Liu, Xiangdong 3 Lu, Chao 3 Matrán, Carlos 3 Nguyen Van Quang 3 Ordóñez Cabrera, Manuel H. 3 Shen, Yan 3 Sreehari, Maddipatla 3 Stadtmüller, Ulrich 3 Stoica, George 3 Thuan, Nguyen Tran 3 Urmeneta, Henar 3 Wang, Kuo-Lung 2 Ahmed, Syed Ejaz 2 Bouzebda, Salim 2 Čekanavičius, Vydas 2 Chen, Zhuang 2 Csörgő, Miklós 2 Csörgő, Sándor 2 del Barrio, Eustasio 2 Elijio, Aistė 2 Fu, Ke’ang 2 Gan, Shixin 2 Ge, Meimei 2 Hernández, Victor M. 2 Huang, Wei 2 Janssen, Arnold 2 Jirak, Moritz 2 Kuczmaszewska, Anna 2 Lei, Lan 2 Li, Shunjing 2 Li, Wei 2 Liang, Hanying 2 Maller, Ross Arthur 2 Mu, Jianyong 2 Nam, Eunwoo 2 Nasari, Masoud M. 2 Niu, Sili 2 Pakes, Anthony G. 2 Peng, Jiangyan 2 Rosenblatt, Joseph Max 2 Shao, Qi-Man 2 Van Dung, Le 2 van Huan, Nguyen 2 Xu, Haiyun 2 Zhang, Li-Xin 2 Zhang, Qingxia 1 Abdollahi, Alireza 1 Aguilar, Erick Treviño 1 Al-Mutairi, Dhaifalla K. 1 Aletti, Giacomo 1 Andreis, Federico 1 Arenal-Gutiérrez, Eusebio 1 Balakrishnan, Narayanaswamy 1 Baron, Michael I. 1 Bartoszek, Krzysztof 1 Bathke, Arne C. 1 Berkes, István 1 Berlinkov, Artemi 1 Bulinskiĭ, Aleksandr Vadimovich 1 Cao, Lingqiu 1 Cao, Linqiu 1 Castaing, Charles ...and 222 more Authors
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#### Cited in 81 Serials

 50 Statistics & Probability Letters 35 Stochastic Analysis and Applications 20 Journal of Inequalities and Applications 16 Acta Mathematica Sinica. English Series 10 Journal of Theoretical Probability 9 Communications in Statistics. Theory and Methods 8 Journal of Mathematical Analysis and Applications 8 Acta Mathematica Hungarica 8 Lobachevskii Journal of Mathematics 8 Stochastics 7 Journal of Multivariate Analysis 7 Statistical Papers 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Lithuanian Mathematical Journal 4 Journal of Statistical Planning and Inference 4 Stochastic Processes and their Applications 4 Test 4 Journal of Mathematical Inequalities 3 Metrika 3 Theory of Probability and its Applications 3 The Annals of Statistics 3 Journal of Applied Probability 3 Applications of Mathematics 3 Journal of the Korean Statistical Society 3 Electronic Journal of Statistics 2 The Annals of Probability 2 Collectanea Mathematica 2 Fuzzy Sets and Systems 2 Journal of the Korean Mathematical Society 2 Kybernetika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Bulletin of the Korean Mathematical Society 2 The Annals of Applied Probability 2 Journal of Mathematical Sciences (New York) 2 Bernoulli 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Extremes 2 Journal of Applied Mathematics 2 Frontiers of Mathematics in China 2 Journal of Probability and Statistics 2 Sankhyā. Series A 1 Advances in Applied Probability 1 Analysis Mathematica 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 Information Sciences 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Statistics 1 Probability Theory and Related Fields 1 Sequential Analysis 1 Journal of Applied Mathematics and Stochastic Analysis 1 Journal of Statistical Computation and Simulation 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Methods of Statistics 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Nonparametric Statistics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Probability in the Engineering and Informational Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics
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#### Cited in 18 Fields

 281 Probability theory and stochastic processes (60-XX) 74 Statistics (62-XX) 7 Functional analysis (46-XX) 5 Measure and integration (28-XX) 5 Sequences, series, summability (40-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)