## Volodin, Andrei I.

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 Author ID: volodin.andrei-i Published as: Volodin, Andrei; Volodin, Andrei I.; Volodin, A.; Volodin, A. I.; Volodin, Andrej I.; Volodin, Andrey more...less Homepage: https://uregina.ca/~volodin/ External Links: MGP
 Documents Indexed: 160 Publications since 1990 1 Contribution as Editor Reviewing Activity: 25 Reviews Co-Authors: 103 Co-Authors with 152 Joint Publications 2,133 Co-Co-Authors
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### Serials

 27 Lobachevskii Journal of Mathematics 18 Statistics & Probability Letters 17 Stochastic Analysis and Applications 10 Thailand Statistician 7 Theory of Probability and its Applications 6 Communications in Statistics. Theory and Methods 4 Journal of Mathematical Analysis and Applications 4 Journal of the Korean Mathematical Society 4 Test 3 Lithuanian Mathematical Journal 3 Bulletin of the Korean Mathematical Society 3 Applications of Mathematics 3 Journal of Statistical Computation and Simulation 3 Stochastics 2 Metrika 2 International Journal of Mathematics and Mathematical Sciences 2 Probability and Mathematical Statistics 2 Journal of Theoretical Probability 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Russian Mathematics 2 Georgian Mathematical Journal 2 Journal of Inequalities and Applications 2 Communications of the Korean Mathematical Society 2 Journal of the Korean Statistical Society 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Collectanea Mathematica 1 Journal of Statistical Planning and Inference 1 The Mathematical Scientist 1 Mathematica Slovaca 1 Publicationes Mathematicae Debrecen 1 Soviet Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Extracta Mathematicae 1 Pakistan Journal of Statistics 1 Siberian Advances in Mathematics 1 Glasnik Matematički. Serija III 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 International Mathematical Journal 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Sankhyā 1 Journal of Mathematical Research with Applications
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### Fields

 131 Probability theory and stochastic processes (60-XX) 45 Statistics (62-XX) 4 Functional analysis (46-XX) 3 Sequences, series, summability (40-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 972 times in 503 Documents Cited by Year
On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models. Zbl 1307.60024
Wang, Xuejun; Xu, Chen; Hu, Tien-Chung; Volodin, Andrei; Hu, Shuhe
2014
Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Zbl 1333.60022
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2015
Limiting behaviour of moving average processes under $$\varphi$$-mixing assumption. Zbl 1154.60026
Chen, Pingyan; Hu, Tien-Chung; Volodin, Andrei
2009
Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability. Zbl 1065.60022
Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2005
On the complete convergence for arrays of rowwise extended negatively dependent random variables. Zbl 1266.60055
Qiu, Dehua; Chen, Pingyan; Antonini, Rita Giuliano; Volodin, Andrei
2013
More on complete convergence for arrays. Zbl 1087.60030
Sung, Soo Hak; Volodin, Andrei I.; Hu, Tien-Chung
2005
Complete convergence for weighted sums and arrays of rowwise extended negatively dependent random variables. Zbl 1276.60036
Wang, Xuejun; Hu, Tien-Chung; Volodin, Andrei; Hu, Shuhe
2013
A note on complete convergence for arrays. Zbl 0910.60017
Hu, Tien-Chung; Szynal, Dominik; Volodin, Andrei I.
1998
Exponential probability inequalities for WNOD random variables and their applications. Zbl 1334.60040
Shen, Aiting; Yao, Mei; Wang, Wenjuan; Volodin, Andrei
2016
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
On complete convergence for arrays of row-wise negatively associated random variables. Zbl 1146.60025
Chen, P.; Hu, T.-C.; Liu, X.; Volodin, A.
2008
Weak laws of large numbers for arrays under a condition of uniform integrability. Zbl 1136.60319
Sung, Soo Hak; Lisawadi, Supranee; Volodin, Andrei
2008
Complete moment convergence for arrays of rowwise NSD random variables. Zbl 1337.60038
Shen, Aiting; Xue, Mingxiang; Volodin, Andrei
2016
On the strong rates of convergence for arrays of rowwise negatively dependent random variables. Zbl 1223.60023
Qiu, Dehua; Chang, Kuang-Chao; Giuliano Antonini, Rita; Volodin, Andrei
2011
On complete convergence for arrays. Zbl 1100.60014
Kruglov, Victor M.; Volodin, Andrei I.; Hu, Tien-Chung
2006
Convergence of series of dependent $$\varphi$$-sub-Gaussian random variables. Zbl 1134.60021
Giuliano Antonini, Rita; Kozachenko, Yuriy; Volodin, Andrei
2008
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 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 limit theorems for weighted sums of NOD sequence and exponential inequalities. Zbl 1234.60035
Wang, Xuejun; Hu, Shuhe; Volodin, Andrei I.
2011
Complete convergence for arrays of rowwise independent random variables. Zbl 1101.60324
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei
2003
On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes. Zbl 1017.60013
Ahmed, S. Ejaz; Giuliano Antonini, Rita; Volodin, Andrei
2002
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
On the Kolmogorov exponential inequality for negatively dependent random variables. Zbl 1128.60304
Volodin, Andrei
2002
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 note on the rates of convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 1319.60065
Wu, Yongfeng; Sung, Soo Hak; Volodin, Andrei
2014
High order approximation for the coverage probability by a confident set centered at the positive-part James-Stein estimator. Zbl 1169.62007
Ahmed, S. Ejaz; Volodin, Andrei I.; Volodin, Igor N.
2009
Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights. Zbl 0984.60012
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2001
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 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
Limiting behavior for arrays of rowwise $$\rho^\ast$$-mixing random variables. Zbl 1283.60053
Wu, Yongfeng; Wang, Chunhua; Volodin, Andrei
2012
Limiting behaviour of moving average processes under negative association assumption. Zbl 1199.60074
Chen, P.; Hu, T.-C.; Volodin, A.
2007
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
On limiting behavior for arrays of rowwise negatively orthant dependent random variables. Zbl 1294.60057
Wu, Yongfeng; Ordóñez Cabrera, Manuel; Volodin, Andrei
2013
A note on the exponential inequality for a class of dependent random variables. Zbl 1296.60047
Sung, Soo Hak; Srisuradetchai, Patchanok; Volodin, Andrei
2011
Complete convergence and complete moment convergence for arrays of rowwise END random variables. Zbl 1319.60064
Wu, Yongfeng; Cabrera, Manuel Ordóñez; Volodin, Andrei
2014
Limiting behaviour of moving average processes based on a sequence of $$\rho^{-}$$ mixing and negatively associated random variables. Zbl 1132.60028
Budsaba, Kamon; Chen, Pingyan; Volodin, Andrei
2007
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
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 rate of complete convergence for weighted sums of arrays of random elements. Zbl 1112.60003
Sung, Soo Hak; Volodin, Andrei I.
2006
Complete moment convergence for weighted sums of sequences of independent random elements in Banach spaces. Zbl 1305.60021
Qiu, Dehua; Urmeneta, Henar; Volodin, Andrei
2014
Asymptotic expansion of the coverage probability of James-Stein estimators. Zbl 1127.62014
Ahmed, S. E.; Saleh, A. K. Md. E.; Volodin, A. I.; Volodin, I. N.
2007
Complete $$f$$-moment convergence for extended negatively dependent random variables. Zbl 1415.60030
Wu, Yi; Wang, Xuejun; Hu, Tien-Chung; Volodin, Andrei
2019
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
Marcinkiewicz-type law of large numbers for double arrays. Zbl 0946.60026
Hong, Dug Hun; Volodin, Andrei I.
1999
Convergence rate of the dependent bootstrapped means. Zbl 1158.62036
Volodin, Andrei I.; Ordóñez Cabrera, Manuel H.; Hu, Tien Chung
2006
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
Parametric estimation for the Birnbaum-Saunders lifetime distribution based on a new parametrization. Zbl 1361.62012
Ahmed, Syed E.; Budsaba, Kamon; Lisawadi, Supranee; Volodin, Andrei
2008
On complete convergence of moving average processes for NSD sequences. Zbl 1328.60082
Amini, M.; Bozorgnia, A.; Naderi, H.; Volodin, A.
2015
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1217.60007
Sung, Soo Hak; Volodin, Andrei
2011
An application of $$\varphi$$-subgaussian technique to Fourier analysis. Zbl 1334.42015
Giuliano Antonini, Rita; Hu, Tien-Chung; Kozachenko, Yuriy; Volodin, Andrei
2013
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type $$p$$ Banach spaces. Zbl 0957.60006
Hong, Dug Hun; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei I.
2000
Almost sure lim sup behavior of dependent bootstrap means. Zbl 1115.62044
Hu, Tien-Chung; Cabrera, Manuel Ordóñez; Volodin, Andrei
2006
A note on the rate of complete convergence for maximums of partial sums for moving average processes in Rademacher type Banach spaces. Zbl 1112.60023
Chen, Pingyan; Hu, Tien-Chung; Volodin, Andrei
2006
On the weak laws for arrays of random variables. Zbl 1087.60023
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2005
Limiting behavior of moving average processes based on a sequence of $$\rho^-$$ mixing random variables. Zbl 1143.62050
Budsaba, Kamon; Chen, Pingyan; Volodin, Andrei
2007
Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications. Zbl 1386.60094
Shen, Aiting; Volodin, Andrei
2017
Complete convergence and complete moment convergence for weighted sums of $$m$$-NA random variables. Zbl 1379.60034
Wu, Yongfeng; Hu, Tien-Chung; Volodin, Andrei
2015
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 note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1058.60006
Volodin, A.; Antonini, Giuliano R.; Hu, T.-C.
2004
On the concept of $$A$$-statistical uniform integrability and the law of large numbers. Zbl 1453.60082
Giuliano Antonini, R.; Ünver, M.; Volodin, A.
2019
Complete convergence for weighted sums of arrays of Banach-space-valued random elements. Zbl 1263.60024
Qiu, De Hua; Hub, Tien-Chung; Cabrera, Manuel Ordóñez; Volodin, Andrei
2012
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
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 strong convergence of weighted sums. Zbl 0989.60037
Giuliano Antonini, Rita; Kwon, Joong Sung; Sung, Soo Hak; Volodin, Andrei I.
2001
On convergence of series of independent random variables. Zbl 1020.60012
Sung, Soo Hak; Volodin, Andrei I.
2001
On conditional compactly uniform $$p$$th-order integrability of random elements in Banach spaces. Zbl 1003.60004
Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2001
Marcinkiewicz-Zygmund type law of large numbers for double arrays of random elements in Banach spaces. Zbl 1227.60008
Van Dung, Le; Ngamkham, Thuntida; Tien, Nguyen Duy; Volodin, A. I.
2009
On convergence of series of independent random elements in Banach spaces. Zbl 0922.60018
Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrej I.
1999
On the concept of $$B$$-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense. Zbl 1479.60071
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei
2021
Dependent bootstrap confidence intervals for a population mean. Zbl 1361.62022
Tosasukul, Jiraroj; Budsaba, Kamon; Volodin, Andrei
2009
A note on the growth rate in the Fazekas-Klesov general law of large numbers and on the weak law of large numbers for tail series. Zbl 1199.60088
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2008
$$L_{1}$$-convergence for weighted sums of some dependent random variables. Zbl 1213.60057
Chen, Pingyan; Ordóñez Cabrera, Manuel; Volodin, Andrei
2010
On complete convergence for arrays of random elements. Zbl 1141.60003
Sung, Soo Hak; Urmeneta, Henar; Volodin, Andrei I.
2008
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
On the strong convergence and complete convergence for pairwise NQD random variables. Zbl 1474.60082
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2014
The length-biased weighted Lindley distribution with applications. Zbl 1451.62022
Atikankul, Yupapin; Thongteeraparp, Ampai; Bodhisuwan, Winai; Volodin, A.
2020
Moment inequalities for $$m$$-NOD random variables and their applications. Zbl 1405.60027
Wang, X. J.; Hu, S. H.; Volodin, A. I.
2018
On negatively associated random variables. Zbl 1255.60029
Gerasimov, M.; Kruglov, V.; Volodin, A.
2012
Moment inequalities for $$m$$-negatively associated random variables and their applications. Zbl 1387.60058
Shen, Aiting; Zhang, Yu; Xiao, Benqiong; Volodin, Andrei
2017
General results of complete convergence and complete moment convergence for weighted sums of some class of random variables. Zbl 1346.60034
Wang, Xuejun; Hu, Shuhe; Volodin, Andrei
2016
Confidence intervals for a ratio of binomial proportions based on direct and inverse sampling schemes. Zbl 1419.62055
Ngamkham, T.; Volodin, Andrei; Volodin, Igor
2016
On complete convergence of the sum of a random number of stable type $$p$$ random elements. Zbl 0822.60024
1995
On complete convergence for arrays of random elements and variables. Zbl 1115.60006
Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei
2007
On the rate of convergence of bootstrapped means in a Banach space. Zbl 0984.60016
Ejaz Ahmed, S.; Hu, T.-C.; Volodin, Andrei I.
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
Maximal inequalities and strong law of large numbers for sequences of $$m$$-asymptotically almost negatively associated random variables. Zbl 1362.60030
Nam, Trinh Hoai; Hu, Tien-Chung; Volodin, Andrei
2017
Some exponential inequalities for acceptable random variables and complete convergence. Zbl 1276.60020
Shen, Aiting; Hu, Shuhe; Volodin, Andrei; Wang, Xuejun
2011
A note on the strong laws of large numbers for random variables. Zbl 1399.60043
Hu, T.-C.; Sung, S. H.; Volodin, A.
2016
Strong laws for blockwise martingale difference arrays in Banach spaces. Zbl 1255.60073
Van Huan, Nguyen; Van Quang, Nguyen; Volodin, A.
2010
On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables. Zbl 1349.60049
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2016
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
Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications. Zbl 1343.60028
Wu, Yongfeng; Volodin, Andrei
2016
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
Convergence rates in the law of large numbers for arrays. Zbl 1120.60024
Kruglov, Victor; Volodin, Andrei
2006
Asymptotic probability for the bootstrapped means deviations from the sample mean. Zbl 1070.62010
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Volodin, Andrei
2005
A note on complete convergence for arrays of rowwise independent Banach space valued random elements. Zbl 1255.60009
Chen, Pingyan; Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei
2010
On Cantrell-Rosalsky’s strong laws of large numbers. Zbl 1175.60010
Ordóñez Cabrera, Manuel; Volodin, Andrei
2009
Asymptotic probability for weighted deviations of dependent bootstrap means from the sample mean. Zbl 1233.62056
Budsaba, Kamon; Phatthanangkul, Tipaval; Tosasukul, Jiraroj; Volodin, Andrei
2010
On the concentration phenomenon for $$\varphi$$-subgaussian random elements. Zbl 1094.60019
Giuliano Antonini, Rita; Hu, Tien-Chung; Volodin, Andrei
2006
A new version of uniform integrability via power series summability methods. Zbl 07523561
Ordóñez Cabrera, M.; Rosalsky, A.; Ünver, M.; Volodin, A.
2022
A new version of uniform integrability via power series summability methods. Zbl 07523561
Ordóñez Cabrera, M.; Rosalsky, A.; Ünver, M.; Volodin, A.
2022
On the concept of $$B$$-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense. Zbl 1479.60071
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei
2021
Correction to: “On the concept of $$B$$-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense”. Zbl 1482.60051
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei
2021
A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type $$p$$ Banach spaces. II. Zbl 1469.60092
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei; Zhang, Sen
2021
The length-biased weighted Lindley distribution with applications. Zbl 1451.62022
Atikankul, Yupapin; Thongteeraparp, Ampai; Bodhisuwan, Winai; Volodin, A.
2020
A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements. Zbl 1440.60009
Cabrera, Manuel Ordóñez; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei
2020
Complete $$f$$-moment convergence for extended negatively dependent random variables. Zbl 1415.60030
Wu, Yi; Wang, Xuejun; Hu, Tien-Chung; Volodin, Andrei
2019
On the concept of $$A$$-statistical uniform integrability and the law of large numbers. Zbl 1453.60082
Giuliano Antonini, R.; Ünver, M.; Volodin, A.
2019
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
Moment inequalities for $$m$$-NOD random variables and their applications. Zbl 1405.60027
Wang, X. J.; Hu, S. H.; Volodin, A. I.
2018
Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications. Zbl 1386.60094
Shen, Aiting; Volodin, Andrei
2017
Moment inequalities for $$m$$-negatively associated random variables and their applications. Zbl 1387.60058
Shen, Aiting; Zhang, Yu; Xiao, Benqiong; Volodin, Andrei
2017
Maximal inequalities and strong law of large numbers for sequences of $$m$$-asymptotically almost negatively associated random variables. Zbl 1362.60030
Nam, Trinh Hoai; Hu, Tien-Chung; Volodin, Andrei
2017
Strong convergence properties for arrays of rowwise negatively orthant dependent random variables. Zbl 1399.60056
Shen, Aiting; Zhang, Yu; Volodin, Andrei
2017
A correction to “Some mean convergence and complete convergence theorems for sequences of $$m$$-linearly negative quadrant dependent random variables”. Zbl 1424.60042
Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei
2017
Exponential probability inequalities for WNOD random variables and their applications. Zbl 1334.60040
Shen, Aiting; Yao, Mei; Wang, Wenjuan; Volodin, Andrei
2016
Complete moment convergence for arrays of rowwise NSD random variables. Zbl 1337.60038
Shen, Aiting; Xue, Mingxiang; Volodin, Andrei
2016
General results of complete convergence and complete moment convergence for weighted sums of some class of random variables. Zbl 1346.60034
Wang, Xuejun; Hu, Shuhe; Volodin, Andrei
2016
Confidence intervals for a ratio of binomial proportions based on direct and inverse sampling schemes. Zbl 1419.62055
Ngamkham, T.; Volodin, Andrei; Volodin, Igor
2016
A note on the strong laws of large numbers for random variables. Zbl 1399.60043
Hu, T.-C.; Sung, S. H.; Volodin, A.
2016
On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables. Zbl 1349.60049
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2016
Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications. Zbl 1343.60028
Wu, Yongfeng; Volodin, Andrei
2016
Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Zbl 1333.60022
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2015
On complete convergence of moving average processes for NSD sequences. Zbl 1328.60082
Amini, M.; Bozorgnia, A.; Naderi, H.; Volodin, A.
2015
Complete convergence and complete moment convergence for weighted sums of $$m$$-NA random variables. Zbl 1379.60034
Wu, Yongfeng; Hu, Tien-Chung; Volodin, Andrei
2015
Confidence sets based on the positive part James-Stein estimator with the asymptotically constant coverage probability. Zbl 1457.62165
Ahmed, S. Ejaz; Kareev, Iskander; Suraphee, Sujitta; Volodin, Andrei; Volodin, Igor
2015
On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models. Zbl 1307.60024
Wang, Xuejun; Xu, Chen; Hu, Tien-Chung; Volodin, Andrei; Hu, Shuhe
2014
A note on the rates of convergence for weighted sums of $$\rho^\ast$$-mixing random variables. Zbl 1319.60065
Wu, Yongfeng; Sung, Soo Hak; Volodin, Andrei
2014
Complete convergence and complete moment convergence for arrays of rowwise END random variables. Zbl 1319.60064
Wu, Yongfeng; Cabrera, Manuel Ordóñez; Volodin, Andrei
2014
Complete moment convergence for weighted sums of sequences of independent random elements in Banach spaces. Zbl 1305.60021
Qiu, Dehua; Urmeneta, Henar; Volodin, Andrei
2014
On the strong convergence and complete convergence for pairwise NQD random variables. Zbl 1474.60082
Shen, Aiting; Zhang, Ying; Volodin, Andrei
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 complete convergence for arrays of rowwise extended negatively dependent random variables. Zbl 1266.60055
Qiu, Dehua; Chen, Pingyan; Antonini, Rita Giuliano; Volodin, Andrei
2013
Complete convergence for weighted sums and arrays of rowwise extended negatively dependent random variables. Zbl 1276.60036
Wang, Xuejun; Hu, Tien-Chung; Volodin, Andrei; Hu, Shuhe
2013
On limiting behavior for arrays of rowwise negatively orthant dependent random variables. Zbl 1294.60057
Wu, Yongfeng; Ordóñez Cabrera, Manuel; Volodin, Andrei
2013
An application of $$\varphi$$-subgaussian technique to Fourier analysis. Zbl 1334.42015
Giuliano Antonini, Rita; Hu, Tien-Chung; Kozachenko, Yuriy; Volodin, Andrei
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
On the asymptotic behavior of the sequence and series of running maxima from a real random sequence. Zbl 1269.60033
Antonini, Rita Giuliano; Ngamkham, Thuntida; Volodin, Andrei
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
Limiting behavior for arrays of rowwise $$\rho^\ast$$-mixing random variables. Zbl 1283.60053
Wu, Yongfeng; Wang, Chunhua; Volodin, Andrei
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
Complete convergence for weighted sums of arrays of Banach-space-valued random elements. Zbl 1263.60024
Qiu, De Hua; Hub, Tien-Chung; Cabrera, Manuel Ordóñez; Volodin, Andrei
2012
On negatively associated random variables. Zbl 1255.60029
Gerasimov, M.; Kruglov, V.; Volodin, A.
2012
On the strong rates of convergence for arrays of rowwise negatively dependent random variables. Zbl 1223.60023
Qiu, Dehua; Chang, Kuang-Chao; Giuliano Antonini, Rita; Volodin, Andrei
2011
Strong limit theorems for weighted sums of NOD sequence and exponential inequalities. Zbl 1234.60035
Wang, Xuejun; Hu, Shuhe; Volodin, Andrei I.
2011
A note on the exponential inequality for a class of dependent random variables. Zbl 1296.60047
Sung, Soo Hak; Srisuradetchai, Patchanok; Volodin, Andrei
2011
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1217.60007
Sung, Soo Hak; Volodin, Andrei
2011
Some exponential inequalities for acceptable random variables and complete convergence. Zbl 1276.60020
Shen, Aiting; Hu, Shuhe; Volodin, Andrei; Wang, Xuejun
2011
$$L_{1}$$-convergence for weighted sums of some dependent random variables. Zbl 1213.60057
Chen, Pingyan; Ordóñez Cabrera, Manuel; Volodin, Andrei
2010
Strong laws for blockwise martingale difference arrays in Banach spaces. Zbl 1255.60073
Van Huan, Nguyen; Van Quang, Nguyen; Volodin, A.
2010
A note on complete convergence for arrays of rowwise independent Banach space valued random elements. Zbl 1255.60009
Chen, Pingyan; Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei
2010
Asymptotic probability for weighted deviations of dependent bootstrap means from the sample mean. Zbl 1233.62056
Budsaba, Kamon; Phatthanangkul, Tipaval; Tosasukul, Jiraroj; Volodin, Andrei
2010
Limiting behaviour of moving average processes under $$\varphi$$-mixing assumption. Zbl 1154.60026
Chen, Pingyan; Hu, Tien-Chung; Volodin, Andrei
2009
High order approximation for the coverage probability by a confident set centered at the positive-part James-Stein estimator. Zbl 1169.62007
Ahmed, S. Ejaz; Volodin, Andrei I.; Volodin, Igor N.
2009
Marcinkiewicz-Zygmund type law of large numbers for double arrays of random elements in Banach spaces. Zbl 1227.60008
Van Dung, Le; Ngamkham, Thuntida; Tien, Nguyen Duy; Volodin, A. I.
2009
Dependent bootstrap confidence intervals for a population mean. Zbl 1361.62022
Tosasukul, Jiraroj; Budsaba, Kamon; Volodin, Andrei
2009
On Cantrell-Rosalsky’s strong laws of large numbers. Zbl 1175.60010
Ordóñez Cabrera, Manuel; Volodin, Andrei
2009
On complete convergence for arrays of row-wise negatively associated random variables. Zbl 1146.60025
Chen, P.; Hu, T.-C.; Liu, X.; Volodin, A.
2008
Weak laws of large numbers for arrays under a condition of uniform integrability. Zbl 1136.60319
Sung, Soo Hak; Lisawadi, Supranee; Volodin, Andrei
2008
Convergence of series of dependent $$\varphi$$-sub-Gaussian random variables. Zbl 1134.60021
Giuliano Antonini, Rita; Kozachenko, Yuriy; Volodin, Andrei
2008
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
Parametric estimation for the Birnbaum-Saunders lifetime distribution based on a new parametrization. Zbl 1361.62012
Ahmed, Syed E.; Budsaba, Kamon; Lisawadi, Supranee; Volodin, Andrei
2008
A note on the growth rate in the Fazekas-Klesov general law of large numbers and on the weak law of large numbers for tail series. Zbl 1199.60088
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
2008
On complete convergence for arrays of random elements. Zbl 1141.60003
Sung, Soo Hak; Urmeneta, Henar; Volodin, Andrei I.
2008
Limiting behaviour of moving average processes under negative association assumption. Zbl 1199.60074
Chen, P.; Hu, T.-C.; Volodin, A.
2007
Limiting behaviour of moving average processes based on a sequence of $$\rho^{-}$$ mixing and negatively associated random variables. Zbl 1132.60028
Budsaba, Kamon; Chen, Pingyan; Volodin, Andrei
2007
Asymptotic expansion of the coverage probability of James-Stein estimators. Zbl 1127.62014
Ahmed, S. E.; Saleh, A. K. Md. E.; Volodin, A. I.; Volodin, I. N.
2007
Limiting behavior of moving average processes based on a sequence of $$\rho^-$$ mixing random variables. Zbl 1143.62050
Budsaba, Kamon; Chen, Pingyan; Volodin, Andrei
2007
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 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
On complete convergence for arrays of random elements and variables. Zbl 1115.60006
Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei
2007
On complete convergence for arrays. Zbl 1100.60014
Kruglov, Victor M.; Volodin, Andrei I.; Hu, Tien-Chung
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 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 rate of complete convergence for weighted sums of arrays of random elements. Zbl 1112.60003
Sung, Soo Hak; Volodin, Andrei I.
2006
Convergence rate of the dependent bootstrapped means. Zbl 1158.62036
Volodin, Andrei I.; Ordóñez Cabrera, Manuel H.; Hu, Tien Chung
2006
Almost sure lim sup behavior of dependent bootstrap means. Zbl 1115.62044
Hu, Tien-Chung; Cabrera, Manuel Ordóñez; Volodin, Andrei
2006
A note on the rate of complete convergence for maximums of partial sums for moving average processes in Rademacher type Banach spaces. Zbl 1112.60023
Chen, Pingyan; Hu, Tien-Chung; Volodin, Andrei
2006
Convergence rates in the law of large numbers for arrays. Zbl 1120.60024
Kruglov, Victor; Volodin, Andrei
2006
On the concentration phenomenon for $$\varphi$$-subgaussian random elements. Zbl 1094.60019
Giuliano Antonini, Rita; Hu, Tien-Chung; Volodin, Andrei
2006
Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability. Zbl 1065.60022
Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2005
More on complete convergence for arrays. Zbl 1087.60030
Sung, Soo Hak; Volodin, Andrei I.; Hu, Tien-Chung
2005
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 weak laws for arrays of random variables. Zbl 1087.60023
Sung, Soo Hak; Hu, Tien-Chung; Volodin, Andrei
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
Asymptotic probability for the bootstrapped means deviations from the sample mean. Zbl 1070.62010
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Volodin, Andrei
2005
On the golden ratio, strong law, and first passage problem. Zbl 1098.60033
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei I.
2005
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Zbl 1058.60006
Volodin, A.; Antonini, Giuliano R.; Hu, T.-C.
2004
Complete convergence for arrays of rowwise independent random variables. Zbl 1101.60324
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Sung, Soo Hak; Volodin, Andrei
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 convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with $$p$$-orthogonal summands. Correction. Zbl 1056.60005
Rosalsky, Andrew; Volodin, Andrei I.
2003
On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes. Zbl 1017.60013
Ahmed, S. Ejaz; Giuliano Antonini, Rita; Volodin, Andrei
2002
On the Kolmogorov exponential inequality for negatively dependent random variables. Zbl 1128.60304
Volodin, Andrei
2002
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
Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights. Zbl 0984.60012
Hu, Tien-Chung; Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2001
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 strong convergence of weighted sums. Zbl 0989.60037
Giuliano Antonini, Rita; Kwon, Joong Sung; Sung, Soo Hak; Volodin, Andrei I.
2001
On convergence of series of independent random variables. Zbl 1020.60012
Sung, Soo Hak; Volodin, Andrei I.
2001
On conditional compactly uniform $$p$$th-order integrability of random elements in Banach spaces. Zbl 1003.60004
Ordóñez Cabrera, Manuel; Volodin, Andrei I.
2001
On the rate of convergence of bootstrapped means in a Banach space. Zbl 0984.60016
Ejaz Ahmed, S.; Hu, T.-C.; Volodin, Andrei I.
2001
...and 11 more Documents
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### Cited by 458 Authors

 89 Wang, Xuejun 60 Volodin, Andrei I. 42 Hu, Shuhe 37 Wu, Yi 35 Shen, Aiting 34 Rosalsky, Andrew 30 Sung, Soohak 27 Chen, Pingyan 25 Hu, Tienchung 19 Wu, Yongfeng 18 Wu, Qunying 15 Deng, Xin 14 Yang, Wenzhi 13 Ordóñez Cabrera, Manuel H. 12 Wang, Xinghui 10 Ahmed, Syed Ejaz 9 Li, Xiaoqin 8 Huang, Haiwu 8 Miao, Yu 8 Qiu, Dehua 8 Wang, Dingcheng 8 Yuan, Demei 7 Ko, Mi-Hwa 7 Lê Vǎn Thành 7 Xi, Mengmei 7 Zhou, Xingcai 6 Li, Deli 6 Lin, Jinguan 6 Lita da Silva, João 6 Lu, Chao 5 Fazekas, István 5 Guo, Mingle 5 Li, Wei 5 Quang, Nguyen Van 5 Song, Mingzhu 5 Ünver, Mehmet 5 Urmeneta, Henar 5 Yan, Jigao 5 Yu, Wei 5 Zhang, Qingxia 5 Zhang, Yu 4 Chen, Ling 4 Chen, Zhiyong 4 Giuliano Antonini, Rita 4 Kuczmaszewska, Anna 4 Li, Yongming 4 Liu, Xiangdong 4 Lu, Dawei 4 Ngamkham, Thuntida 4 Ning, Mingming 4 Nkurunziza, Sévérien 4 Tang, Xufei 4 Wang, Wenjuan 4 Wu, Caoqing 4 Xu, Shoufang 4 Zheng, Lulu 3 Baek, Jong-Il 3 Balakrishnan, Narayanaswamy 3 Ding, Liwang 3 Ge, Meimei 3 Hernández, Victor M. 3 Hien, Nguyen Thi Thanh 3 Jiang, Yuanying 3 Kozachenko, Yuriĭ Vasyl’ovych 3 Kruglov, Victor M. 3 Liu, Xinsheng 3 Meng, Bing 3 Naderi, Habib 3 Nguyen Van Quang 3 Pecsora, Sándor 3 Peng, Jiangyan 3 Shen, Yan 3 Sreehari, Maddipatla 3 Srinivasa Rao, G. 3 Van Dung, Le 3 Wang, Yuebao 3 Wu, Ranchao 3 Xia, Hao 3 Xu, Chen 3 Yao, Mei 3 Yu, Yuncai 3 Zhu, Huayan 3 Zhu, Quanxin 2 Amini-Dehak, Mohammad 2 Anh, Vu Thi Ngoc 2 Arashi, Mohammad 2 Boukhari, Fakhreddine 2 Bozorgnia, Abolghasem 2 Chen, Kan 2 Chen, Lamei 2 Chen, Ping 2 Chen, Zhuang 2 Cheng, Dongya 2 Cheng, Pan 2 Cheng, Zhaoyang 2 Chitsaz, Shabnam 2 Ding, Yang 2 Gan, Shixin 2 Gao, Miaomiao 2 Gao, Qingwu ...and 358 more Authors
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### Cited in 106 Serials

 66 Journal of Inequalities and Applications 51 Communications in Statistics. Theory and Methods 47 Statistics & Probability Letters 20 Stochastic Analysis and Applications 20 Statistical Papers 19 Lobachevskii Journal of Mathematics 17 Stochastics 17 Journal of Mathematical Inequalities 17 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Journal of Mathematical Analysis and Applications 9 Statistics 9 Test 9 Abstract and Applied Analysis 9 Acta Mathematica Sinica. English Series 8 Acta Mathematica Hungarica 8 Journal of the Korean Statistical Society 7 Applications of Mathematics 7 Journal of Statistical Computation and Simulation 7 Discrete Dynamics in Nature and Society 6 Theory of Probability and its Applications 5 Filomat 4 Lithuanian Mathematical Journal 4 Bulletin of the Korean Mathematical Society 4 Journal of Theoretical Probability 4 Applied Mathematics. Series B (English Edition) 4 Open Mathematics 3 Metrika 3 Collectanea Mathematica 3 Journal of the Korean Mathematical Society 3 Journal of Multivariate Analysis 3 Mathematica Slovaca 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Mathematicae Applicatae Sinica. English Series 3 Computational Statistics and Data Analysis 3 Probability in the Engineering and Informational Sciences 3 Methodology and Computing in Applied Probability 3 Journal of Probability and Statistics 2 Annals of the Institute of Statistical Mathematics 2 Fuzzy Sets and Systems 2 Journal of Statistical Planning and Inference 2 Probability and Mathematical Statistics 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 Journal of Nonparametric Statistics 2 Journal of Systems Science and Complexity 2 Statistical Methodology 2 Thailand Statistician 2 Frontiers of Mathematics in China 2 The Scientific World Journal. Probability and Statistics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Automatica 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Kybernetika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Sequential Analysis 1 Applied Mathematics Letters 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Annals of Applied Probability 1 Siberian Advances in Mathematics 1 Computational Statistics 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Convex Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Bernoulli 1 Positivity 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Applied Stochastic Models in Business and Industry 1 Brazilian Journal of Probability and Statistics 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 Science China. Mathematics 1 Symmetry 1 Sankhyā. Series A 1 Quantitative Economics 1 Journal of Applied Mathematics & Informatics 1 Arabian Journal for Science and Engineering 1 Statistics and Computing ...and 6 more Serials
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### Cited in 20 Fields

 414 Probability theory and stochastic processes (60-XX) 188 Statistics (62-XX) 9 Sequences, series, summability (40-XX) 9 Numerical analysis (65-XX) 8 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)