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Shen, Aiting

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Author ID: shen.aiting Recent zbMATH articles by "Shen, Aiting"
Published as: Shen’, A.; Shen, A.; Shen, Aiting
Documents Indexed: 65 Publications since 1980, including 5 Books

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 355 times in 192 Documents Cited by Year
Probability inequalities for END sequence and their applications. Zbl 1276.60019
Shen, Aiting
31
2011
On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables. Zbl 1278.60060
Shen, Aiting
28
2013
Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Zbl 1333.60022
Shen, Aiting; Zhang, Ying; Volodin, Andrei
27
2015
On asymptotic approximation of inverse moments for a class of nonnegative random variables. Zbl 1305.62193
Shen, Aiting
27
2014
Complete convergence for weighted sums of NSD random variables and its application in the EV regression model. Zbl 1316.60042
Wang, Xuejun; Shen, Aiting; Chen, Zhiyong; Hu, Shuhe
25
2015
Exponential probability inequalities for WNOD random variables and their applications. Zbl 1334.60040
Shen, Aiting; Yao, Mei; Wang, Wenjuan; Volodin, Andrei
18
2016
Visco-plastic models of isothermal lava domes. Zbl 0957.76003
Balmforth, N. J.; Burbidge, A. S.; Craster, R. V.; Salzig, J.; Shen, A.
18
2000
Complete convergence for weighted sums of END random variables and its application to nonparametric regression models. Zbl 1348.60047
Shen, Aiting
15
2016
Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models. Zbl 07095445
Shen, Aiting
15
2013
An exponential inequality for a NOD sequence and a strong law of large numbers. Zbl 1205.60068
Wang, Xuejun; Hu, Shuhe; Shen, Aiting; Yang, Wenzhi
14
2011
Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables. Zbl 1276.60034
Shen, Aiting
13
2011
Strong convergence for sequences of asymptotically almost negatively associated random variables. Zbl 1312.60024
Shen, Aiting; Wu, Ranchao
11
2014
Complete moment convergence for arrays of rowwise NSD random variables. Zbl 1337.60038
Shen, Aiting; Xue, Mingxiang; Volodin, Andrei
10
2016
Strong and weak convergence for asymptotically almost negatively associated random variables. Zbl 1269.60036
Shen, Aiting; Wu, Ranchao
10
2013
On the rate of complete convergence for weighted sums of arrays of rowwise \(\varphi\)-mixing random variables. Zbl 1308.60033
Shen, Aiting; Wang, Xinghui; Li, Xiaoqin; Wang, Xuejun
8
2014
\(\mathrm{IP}=\mathrm{PSPACE}\): Simplified proof. Zbl 0799.68098
Shen, A.
8
1992
On complete convergence for nonstationary \(\varphi\)-mixing random variables. Zbl 1319.60059
Shen, Aiting; Wang, Xinghui; Ling, Jimin
6
2014
Conditional convergence for randomly weighted sums of random variables based on conditional residual \(h\)-integrability. Zbl 1284.60064
Shen, Aiting; Wu, Ranchao; Chen, Yan; Zhou, Yu
6
2013
Some probability inequalities for a class of random variables and their applications. Zbl 1302.60043
Shen, Aiting; Wu, Ranchao
5
2013
Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications. Zbl 1386.60094
Shen, Aiting; Volodin, Andrei
4
2017
Computable functions. Transl. from the Russian by V. N. Dubrovskii. Zbl 1015.03002
Shen, A.; Vereshchagin, N. K.
4
2003
Complete convergence for weighted sums of extended negatively dependent random variables. Zbl 1360.60069
Shen, Aiting; Xue, Mingxiang; Wang, Wenjuan
3
2017
Complete convergence for weighted sums of LNQD random variables. Zbl 1319.60038
Shen, Aiting; Zhu, Huayan; Wu, Ranchao; Zhang, Ying
3
2015
Exponential inequality for \(\tilde\rho\)-mixing sequences and its applications. Zbl 06704810
Shen, Aiting; Zhu, Huayan; Zhang, Ying
3
2014
Complete convergence for weighted sums of arrays of rowwise \({\tilde\rho}\)-mixing random variables. Zbl 1287.60041
Shen, Aiting; Wu, Ranchao; Wang, Xinghui; Shen, Yan
3
2013
Complete convergence of the maximum partial sums for arrays of rowwise of AANA random variables. Zbl 1269.60037
Shen, Aiting; Wu, Ranchao; Chen, Yan; Zhou, Yu
3
2013
Bernstein-type inequality for weakly dependent sequence and its applications. Zbl 1275.60026
Shen, Aiting; Shi, Yue; Wang, Wenjuan; Han, Bing
3
2012
A note on the inverse moments for nonnegative \(\rho\)-mixing random variables. Zbl 1234.60016
Shen, Aiting
3
2011
Algorithmic complexity and randomness: Recent developments. Zbl 0815.60003
Shen’, A.
3
1992
Equivalent conditions of complete convergence and complete moment convergence for END random variables. Zbl 1395.60035
Shen, Aiting; Yao, Mei; Xiao, Benqiong
2
2018
Moment inequalities for \(m\)-negatively associated random variables and their applications. Zbl 1387.60058
Shen, Aiting; Zhang, Yu; Xiao, Benqiong; Volodin, Andrei
2
2017
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
2
2016
Convergence properties for weighted sums of NSD random variables. Zbl 1339.60023
Shen, Aiting; Wang, Xinghui; Zhu, Huayan
2
2016
On the strong law of large numbers for weighted sums of negatively superadditive dependent random variables. Zbl 1334.60039
Shen, Aiting
2
2016
On the strong convergence and complete convergence for pairwise NQD random variables. Zbl 07023378
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2
2014
A note on complete convergence of weighted sums for array of rowwise AANA random variables. Zbl 1295.60038
Wang, Xinghui; Shen, Aiting; Li, Xiaoqin
2
2013
Strong convergence results for weighted sums of \({\tilde\rho}\)-mixing random variables. Zbl 1287.60040
Shen, Aiting; Wu, Ranchao
2
2013
Some exponential inequalities for acceptable random variables and complete convergence. Zbl 1276.60020
Shen, Aiting; Hu, Shuhe; Volodin, Andrei; Wang, Xuejun
2
2011
Algebra. Zbl 0785.00001
Gelfand, I. M.; Shen, A.
2
1993
Asymptotic properties of LS estimators in the errors-in-variables model with MD errors. Zbl 1432.62047
Shen, Aiting
1
2019
On complete convergence for weighted sums of \(\rho^*\)-mixing random variables. Zbl 07095525
Shen, Aiting; Wang, Xinghui; Zhu, Huayan
1
2013
On strong convergence for weighted sums of a class of random variables. Zbl 1279.60041
Shen, Aiting
1
2013
Lectures on mathematical logic and the theory of algorithms. Part 2. Languages and calculi. 3rd ed. Zbl 1228.68003
Vereshchagin, N. K.; Shen’, A.
1
2008
Basic set theory. Transl. from the Russian by A. Shen. Zbl 1007.03001
Shen, A.; Vereshchagin, N. K.
1
2002
Algorithms and programming. Problems and solutions. Zbl 0865.68049
Shen, A.
1
1997
The frequency approach to the definition of the notion of a random sequence. Zbl 0503.60003
Shen’, A.
1
1982
Axiomatic approach to the theory of algorithms and relativized computability. Zbl 0465.68015
Shen, A.
1
1980
Asymptotic properties of LS estimators in the errors-in-variables model with MD errors. Zbl 1432.62047
Shen, Aiting
1
2019
Equivalent conditions of complete convergence and complete moment convergence for END random variables. Zbl 1395.60035
Shen, Aiting; Yao, Mei; Xiao, Benqiong
2
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
4
2017
Complete convergence for weighted sums of extended negatively dependent random variables. Zbl 1360.60069
Shen, Aiting; Xue, Mingxiang; Wang, Wenjuan
3
2017
Moment inequalities for \(m\)-negatively associated random variables and their applications. Zbl 1387.60058
Shen, Aiting; Zhang, Yu; Xiao, Benqiong; Volodin, Andrei
2
2017
Exponential probability inequalities for WNOD random variables and their applications. Zbl 1334.60040
Shen, Aiting; Yao, Mei; Wang, Wenjuan; Volodin, Andrei
18
2016
Complete convergence for weighted sums of END random variables and its application to nonparametric regression models. Zbl 1348.60047
Shen, Aiting
15
2016
Complete moment convergence for arrays of rowwise NSD random variables. Zbl 1337.60038
Shen, Aiting; Xue, Mingxiang; Volodin, Andrei
10
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
2
2016
Convergence properties for weighted sums of NSD random variables. Zbl 1339.60023
Shen, Aiting; Wang, Xinghui; Zhu, Huayan
2
2016
On the strong law of large numbers for weighted sums of negatively superadditive dependent random variables. Zbl 1334.60039
Shen, Aiting
2
2016
Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. Zbl 1333.60022
Shen, Aiting; Zhang, Ying; Volodin, Andrei
27
2015
Complete convergence for weighted sums of NSD random variables and its application in the EV regression model. Zbl 1316.60042
Wang, Xuejun; Shen, Aiting; Chen, Zhiyong; Hu, Shuhe
25
2015
Complete convergence for weighted sums of LNQD random variables. Zbl 1319.60038
Shen, Aiting; Zhu, Huayan; Wu, Ranchao; Zhang, Ying
3
2015
On asymptotic approximation of inverse moments for a class of nonnegative random variables. Zbl 1305.62193
Shen, Aiting
27
2014
Strong convergence for sequences of asymptotically almost negatively associated random variables. Zbl 1312.60024
Shen, Aiting; Wu, Ranchao
11
2014
On the rate of complete convergence for weighted sums of arrays of rowwise \(\varphi\)-mixing random variables. Zbl 1308.60033
Shen, Aiting; Wang, Xinghui; Li, Xiaoqin; Wang, Xuejun
8
2014
On complete convergence for nonstationary \(\varphi\)-mixing random variables. Zbl 1319.60059
Shen, Aiting; Wang, Xinghui; Ling, Jimin
6
2014
Exponential inequality for \(\tilde\rho\)-mixing sequences and its applications. Zbl 06704810
Shen, Aiting; Zhu, Huayan; Zhang, Ying
3
2014
On the strong convergence and complete convergence for pairwise NQD random variables. Zbl 07023378
Shen, Aiting; Zhang, Ying; Volodin, Andrei
2
2014
On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables. Zbl 1278.60060
Shen, Aiting
28
2013
Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models. Zbl 07095445
Shen, Aiting
15
2013
Strong and weak convergence for asymptotically almost negatively associated random variables. Zbl 1269.60036
Shen, Aiting; Wu, Ranchao
10
2013
Conditional convergence for randomly weighted sums of random variables based on conditional residual \(h\)-integrability. Zbl 1284.60064
Shen, Aiting; Wu, Ranchao; Chen, Yan; Zhou, Yu
6
2013
Some probability inequalities for a class of random variables and their applications. Zbl 1302.60043
Shen, Aiting; Wu, Ranchao
5
2013
Complete convergence for weighted sums of arrays of rowwise \({\tilde\rho}\)-mixing random variables. Zbl 1287.60041
Shen, Aiting; Wu, Ranchao; Wang, Xinghui; Shen, Yan
3
2013
Complete convergence of the maximum partial sums for arrays of rowwise of AANA random variables. Zbl 1269.60037
Shen, Aiting; Wu, Ranchao; Chen, Yan; Zhou, Yu
3
2013
A note on complete convergence of weighted sums for array of rowwise AANA random variables. Zbl 1295.60038
Wang, Xinghui; Shen, Aiting; Li, Xiaoqin
2
2013
Strong convergence results for weighted sums of \({\tilde\rho}\)-mixing random variables. Zbl 1287.60040
Shen, Aiting; Wu, Ranchao
2
2013
On complete convergence for weighted sums of \(\rho^*\)-mixing random variables. Zbl 07095525
Shen, Aiting; Wang, Xinghui; Zhu, Huayan
1
2013
On strong convergence for weighted sums of a class of random variables. Zbl 1279.60041
Shen, Aiting
1
2013
Bernstein-type inequality for weakly dependent sequence and its applications. Zbl 1275.60026
Shen, Aiting; Shi, Yue; Wang, Wenjuan; Han, Bing
3
2012
Probability inequalities for END sequence and their applications. Zbl 1276.60019
Shen, Aiting
31
2011
An exponential inequality for a NOD sequence and a strong law of large numbers. Zbl 1205.60068
Wang, Xuejun; Hu, Shuhe; Shen, Aiting; Yang, Wenzhi
14
2011
Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables. Zbl 1276.60034
Shen, Aiting
13
2011
A note on the inverse moments for nonnegative \(\rho\)-mixing random variables. Zbl 1234.60016
Shen, Aiting
3
2011
Some exponential inequalities for acceptable random variables and complete convergence. Zbl 1276.60020
Shen, Aiting; Hu, Shuhe; Volodin, Andrei; Wang, Xuejun
2
2011
Lectures on mathematical logic and the theory of algorithms. Part 2. Languages and calculi. 3rd ed. Zbl 1228.68003
Vereshchagin, N. K.; Shen’, A.
1
2008
Computable functions. Transl. from the Russian by V. N. Dubrovskii. Zbl 1015.03002
Shen, A.; Vereshchagin, N. K.
4
2003
Basic set theory. Transl. from the Russian by A. Shen. Zbl 1007.03001
Shen, A.; Vereshchagin, N. K.
1
2002
Visco-plastic models of isothermal lava domes. Zbl 0957.76003
Balmforth, N. J.; Burbidge, A. S.; Craster, R. V.; Salzig, J.; Shen, A.
18
2000
Algorithms and programming. Problems and solutions. Zbl 0865.68049
Shen, A.
1
1997
Algebra. Zbl 0785.00001
Gelfand, I. M.; Shen, A.
2
1993
\(\mathrm{IP}=\mathrm{PSPACE}\): Simplified proof. Zbl 0799.68098
Shen, A.
8
1992
Algorithmic complexity and randomness: Recent developments. Zbl 0815.60003
Shen’, A.
3
1992
The frequency approach to the definition of the notion of a random sequence. Zbl 0503.60003
Shen’, A.
1
1982
Axiomatic approach to the theory of algorithms and relativized computability. Zbl 0465.68015
Shen, A.
1
1980
all top 5

Cited by 274 Authors

66 Wang, Xuejun
32 Hu, Shuhe
29 Wu, Yi
17 Shen, Aiting
10 Deng, Xin
9 Sung, Soohak
9 Volodin, Andrei I.
9 Wang, Xinghui
7 Chen, Pingyan
6 Li, Xiaoqin
6 Xi, Mengmei
6 Yang, Wenzhi
5 Huang, Haiwu
4 Chen, Zhiyong
4 Lu, Chao
4 Wang, Rui
4 Zhang, Qingxia
3 Ding, Liwang
3 Ge, Meimei
3 Hu, Tienchung
3 Ionescu, Ioan Romeo
3 Miao, Yu
3 Shen, Yan
3 Tang, Xufei
3 Wang, Shijie
3 Wu, Qunying
3 Wu, Yongfeng
3 Xia, Hao
3 Xu, Chen
3 Yao, Mei
2 Amini-Dehak, Mohammad
2 Boukhari, Fakhr eddine
2 Chen, Ling
2 Chen, Ping
2 Chen, Zhuang
2 Ko, Mi-Hwa
2 Li, Yongming
2 Lita da Silva, João
2 Liu, Xinsheng
2 Naderi, Habib
2 Peng, Jiangyan
2 Sayag, Roiy
2 Sung, Sa Hong
2 Tao, Xinran
2 Thanh, Le Van
2 Vigneaux, Paul
2 Wang, Mengge
2 Xia, Fengxi
2 Xu, Weifeng
2 Yu, Wei
2 Yu, Yuncai
2 Zhang, Rui
2 Zhang, Yong
2 Zheng, Lulu
1 Acary-Robert, Céline
1 Adyan, Sergeĭ Ivanovich
1 Agahi, Hamzeh
1 Agrawal, Manindra
1 Ancey, Christophe
1 Andreev, N. N.
1 Anh, Vu Thi Ngoc
1 Arvind, Vikraman
1 Babik, Fabrice
1 Bai, Peifan
1 Balakrishnan, Narayanaswamy
1 Beklemishev, Lev D.
1 Berdjag, Denis
1 Bottesch, Ralph Christian
1 Bozorgnia, Abolghasem
1 Chen, Kan
1 Chen, Lamei
1 Chen, Peipei
1 Chen, Pengyuan
1 Chen, Zhigang
1 Cheng, Zhaoyang
1 Chiapponi, Luca
1 Chiesa, Alessandro
1 Christofides, Tasos C.
1 Christophe, Cyrille
1 Cleary, Paul W.
1 Cochard, Steve
1 Cocquempot, Vincent
1 Dantsin, E. Ya.
1 D’Aquino, Paola
1 Das, Rajarshi
1 Deng, Guangming
1 Di Federico, Vittorio
1 Ding, Decheng
1 Ding, Xue
1 Ding, Yang
1 Downing, David J.
1 Duffy, Brian Reginald
1 Durand, Bruno
1 Èglit, Margarita Èrnestovna
1 Enikeeva, Farida N.
1 Ershov, Yuriĭ Leonidovich
1 Fazekas, István
1 Fedorov, V. V.
1 Feng, Fengxiang
1 Feng, Yanhong
...and 174 more Authors
all top 5

Cited in 68 Serials

26 Journal of Inequalities and Applications
11 Statistical Papers
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Communications in Statistics. Theory and Methods
8 Journal of Mathematical Inequalities
7 Statistics
6 Test
6 Abstract and Applied Analysis
6 Acta Mathematica Sinica. English Series
5 Journal of Fluid Mechanics
5 Journal of Mathematical Analysis and Applications
5 Statistics & Probability Letters
4 The Journal of Symbolic Logic
4 Bulletin of the Korean Mathematical Society
4 Acta Mathematica Hungarica
3 Fluid Dynamics
3 Journal of Computational Physics
3 Metrika
3 Theory of Probability and its Applications
3 Kybernetika
3 Theoretical Computer Science
3 Applied Mathematics. Series B (English Edition)
3 Probability in the Engineering and Informational Sciences
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Non-Newtonian Fluid Mechanics
2 Journal of Nonparametric Statistics
2 Discrete Dynamics in Nature and Society
2 Stochastics
2 Journal of the Korean Statistical Society
1 Journal of Engineering Mathematics
1 Moscow University Mathematics Bulletin
1 Russian Mathematical Surveys
1 Annals of the Institute of Statistical Mathematics
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of Statistical Planning and Inference
1 SIAM Journal on Computing
1 Ergodic Theory and Dynamical Systems
1 Probability and Mathematical Statistics
1 Chinese Annals of Mathematics. Series B
1 Journal of Theoretical Probability
1 Journal of Scientific Computing
1 Random Structures & Algorithms
1 Journal of Statistical Computation and Simulation
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Computational Statistics and Data Analysis
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 Bernoulli
1 Mathematical Problems in Engineering
1 Theory of Computing Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Matematicheskie Trudy
1 Berichte zur Wissenschaftsgeschichte
1 International Journal of Applied Mathematics and Computer Science
1 Computational Geosciences
1 Methodology and Computing in Applied Probability
1 Journal of Systems Science and Complexity
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Stochastics and Dynamics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Frontiers of Mathematics in China
1 AStA. Advances in Statistical Analysis
1 The Scientific World Journal. Probability and Statistics
1 Open Mathematics

Citations by Year