# zbMATH — the first resource for mathematics

## Cai, Guanghui

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 Author ID: cai.guanghui Published as: Cai, G.; Cai, Guang-Hui; Cai, Guang-hui; Cai, Guanghui
 Documents Indexed: 54 Publications since 2001
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#### Co-Authors

 27 single-authored 5 Ying, Xuehai 3 Wu, Hang 3 Xu, Bing 3 Zhang, Qian 3 Zhu, Menghu 2 Chen, Xiuping 2 Gao, Yan 2 Pan, Xueyan 2 Wang, Jianfeng 2 Xiang, Lin 2 Xu, Jun 1 Guo, Baocai 1 Su, Xin-Xing 1 Zhang, Li-Xin 1 Zhao, Shangwei 1 Zheng, Yuyan
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#### Serials

 6 Applied Mathematics. Series A (Chinese Edition) 3 Journal of Systems Science and Mathematical Sciences 3 Applied Mathematics. Series B (English Edition) 2 Anais da Academia Brasileira de Ciências 2 Statistics & Probability Letters 2 Mathematica Applicata 2 Journal of Mathematical Chemistry 2 Discrete Dynamics in Nature and Society 2 Communications of the Korean Mathematical Society 2 Journal of Zhejiang University. Science Edition 2 Journal of the Indonesian Mathematical Society 1 Metrika 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Mathematica Slovaca 1 Journal of Mathematics. Wuhan University 1 Advances in Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Mathematica Bohemica 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Pure and Applied Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Mathematical Communications 1 Journal of Interdisciplinary Mathematics 1 Calcutta Statistical Association Bulletin 1 Journal of Computational Analysis and Applications 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Applied Mathematics and Computing 1 Missouri Journal of Mathematical Sciences 1 Journal of Applied Functional Analysis 1 Acta Mathematica Sinica. Chinese Series 1 Chinese Journal of Engineering Mathematics

#### Fields

 45 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 1 Real functions (26-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

21 Publications have been cited 73 times in 68 Documents Cited by Year
Strong laws for weighted sums of NA random variables. Zbl 1247.60036
Cai, Guang-Hui
2008
Optimal control method with time delay in control. Zbl 1237.70130
Cai, G.; Huang, J.
2002
Law of the iterated logarithm for $$\rho$$-mixing sequences. Zbl 1121.60306
Cai, Guanghui
2006
Strong law of large numbers for $$\rho^{*}$$-mixing sequences with different distributions. Zbl 1110.60020
Cai, Guang-Hui
2006
Marcinkiewicz strong laws for linear statistics of $$\rho^*$$-mixing sequences of random variables. Zbl 1147.60310
Cai, Guang-hui
2006
Stress analyses around holes in composite laminates using boundary element method. Zbl 1052.76579
Pan, E.; Yang, B.; Cai, G.; Yuan, F. G.
2001
Uniform bounds in normal approximation under negatively associated random fields. Zbl 1157.60013
Cai, Guang-Hui; Wang, Jian-Feng
2009
Chover-type laws of the iterated logarithm for weighted sums of $$\rho ^{\ast}$$-mixing sequences. Zbl 1109.60026
Cai, Guang-Hui
2006
Strong laws for weighted sums of i.i.d. random variables. Zbl 1165.60317
Cai, Guang-Hui
2006
Almost sure convergence for linear process generated by asymptotically linear negative quadrant dependence processes. Zbl 1092.60011
Cai, Guang-hui
2005
On the strong laws of large numbers for $$\rho$$-mixing sequences. Zbl 1072.60020
Cai, Guanghui; Wu, Hang
2005
Asymptotic optimality of NG estimator for linear regression model based on Mallows criterion. Zbl 1399.62044
Chen, Xiuping; Cai, Guanghui; Gao, Yan
2017
The Berry-Esseen bound for identically distributed random variables by Stein method. Zbl 1289.60031
Cai, Guanghui
2012
Complete convergence of rowwise $$\widetilde\rho$$-mixing sequences of random variables. Zbl 1229.60036
Cai, Guang-hui
2011
A strong invariance principle for negatively associated random fields. Zbl 1224.60008
Cai, Guang-hui
2011
Moment inequality and complete convergence of $$\Tilde\rho$$ mixing sequences. Zbl 1164.60333
Cai, Guanghui
2008
Chover-type laws of the iterated logarithm for weighted sums of NA sequences. Zbl 1174.60328
Cai, Guang-hui
2007
Strong law of large numbers for arrays of rowwise pairwise NQD random variables. Zbl 1136.60022
Cai, Guang-hui
2007
Law of iterated logarithm for NA sequences with non-identical distributions. Zbl 1123.60304
Cai, Guang-Hui; Wu, Hang
2007
A two-sided estimate in the Hsu-Robbins-Erdős law of large numbers for i.i.d. random variables sequence. Zbl 1102.60025
Cai, Guanghui; Zhu, Menghu
2006
Complete convergence for weighted sums of $$\rho$$-mixing sequences and its application. Zbl 1104.60306
Cai, Guanghui; Xu, Bing
2006
Asymptotic optimality of NG estimator for linear regression model based on Mallows criterion. Zbl 1399.62044
Chen, Xiuping; Cai, Guanghui; Gao, Yan
2017
The Berry-Esseen bound for identically distributed random variables by Stein method. Zbl 1289.60031
Cai, Guanghui
2012
Complete convergence of rowwise $$\widetilde\rho$$-mixing sequences of random variables. Zbl 1229.60036
Cai, Guang-hui
2011
A strong invariance principle for negatively associated random fields. Zbl 1224.60008
Cai, Guang-hui
2011
Uniform bounds in normal approximation under negatively associated random fields. Zbl 1157.60013
Cai, Guang-Hui; Wang, Jian-Feng
2009
Strong laws for weighted sums of NA random variables. Zbl 1247.60036
Cai, Guang-Hui
2008
Moment inequality and complete convergence of $$\Tilde\rho$$ mixing sequences. Zbl 1164.60333
Cai, Guanghui
2008
Chover-type laws of the iterated logarithm for weighted sums of NA sequences. Zbl 1174.60328
Cai, Guang-hui
2007
Strong law of large numbers for arrays of rowwise pairwise NQD random variables. Zbl 1136.60022
Cai, Guang-hui
2007
Law of iterated logarithm for NA sequences with non-identical distributions. Zbl 1123.60304
Cai, Guang-Hui; Wu, Hang
2007
Law of the iterated logarithm for $$\rho$$-mixing sequences. Zbl 1121.60306
Cai, Guanghui
2006
Strong law of large numbers for $$\rho^{*}$$-mixing sequences with different distributions. Zbl 1110.60020
Cai, Guang-Hui
2006
Marcinkiewicz strong laws for linear statistics of $$\rho^*$$-mixing sequences of random variables. Zbl 1147.60310
Cai, Guang-hui
2006
Chover-type laws of the iterated logarithm for weighted sums of $$\rho ^{\ast}$$-mixing sequences. Zbl 1109.60026
Cai, Guang-Hui
2006
Strong laws for weighted sums of i.i.d. random variables. Zbl 1165.60317
Cai, Guang-Hui
2006
A two-sided estimate in the Hsu-Robbins-Erdős law of large numbers for i.i.d. random variables sequence. Zbl 1102.60025
Cai, Guanghui; Zhu, Menghu
2006
Complete convergence for weighted sums of $$\rho$$-mixing sequences and its application. Zbl 1104.60306
Cai, Guanghui; Xu, Bing
2006
Almost sure convergence for linear process generated by asymptotically linear negative quadrant dependence processes. Zbl 1092.60011
Cai, Guang-hui
2005
On the strong laws of large numbers for $$\rho$$-mixing sequences. Zbl 1072.60020
Cai, Guanghui; Wu, Hang
2005
Optimal control method with time delay in control. Zbl 1237.70130
Cai, G.; Huang, J.
2002
Stress analyses around holes in composite laminates using boundary element method. Zbl 1052.76579
Pan, E.; Yang, B.; Cai, G.; Yuan, F. G.
2001
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#### Cited by 93 Authors

 7 Wu, Qunying 6 Shen, Aiting 5 Huang, Haiwu 5 Jiang, Yuanying 5 Sung, Soohak 5 Wang, Xuejun 4 Hu, Shuhe 4 Marzban, Hamid-Reza 4 Volodin, Andrei I. 4 Wang, Dingcheng 4 Wu, Yongfeng 4 Zhang, Qingxia 3 Cai, Guanghui 3 Hu, Tienchung 3 Trapani, Lorenzo 2 Chen, Pingyan 2 Guo, Mingle 2 Hoseini, Sayyed Mohammad 2 Oliveira, Paulo Eduardo 2 Rosalsky, Andrew 2 Wang, Xinghui 2 Wiroonsri, Nathakhun 2 Wu, Ranchao 2 Yang, Wenzhi 2 Yang, Xiaoyun 2 Zhang, Yong 2 Zhu, Huayan 1 Alsmeyer, Gerold 1 Bai, Peifan 1 Barigozzi, Matteo 1 Barsoum, M. W. 1 Çaǧın, Tonguç 1 Chen, Pengyuan 1 Chen, Weidong 1 Chen, Xiuping 1 Deng, Guangming 1 Deng, Xin 1 Dong, Zhishan 1 Duan, Guangren 1 Gao, Huijun 1 Gao, Yan 1 Ge, Meimei 1 Haraguchi, Masakazu 1 Hashim, Ishak 1 Hu, Haiyan 1 Hu, Ming 1 Kabluchko, Zakhar A. 1 Kong, Ningning 1 Kratz, Marie-France 1 Kuczmaszewska, Anna 1 Li, Xiaoqin 1 Liu, Bo 1 Lu, Jianfang 1 Maleki, Mohammad Reza 1 Mall, Susmita 1 Marynych, Alexander V. 1 Mashayekhi, Somayeh 1 Meng, Bing 1 Pan, Enlin 1 Pan, Ernie 1 Pan, Xueyan 1 Peng, Jiangyan 1 Razzaghi, Mohsen 1 Rethinam, R. M. 1 Shahsiah, Maryam 1 Shao, Min-Qiang 1 Shi, Peng 1 Song, Bo 1 Sun, Jianqiao 1 Sung, Sa Hong 1 Tan, Shujun 1 Vysotsky, Vladislav V. 1 Wang, Dehui 1 Wang, Kuo-Lung 1 Wang, Zaihong 1 Wang, Zaihua 1 Wattanataweekul, Manakorn 1 Wu, Xiu Shan 1 Wu, Yi 1 Wu, Zhigang 1 Xia, Fengxi 1 Xiao, Hongtian 1 Yang, Baoguo 1 Yang, Ben 1 Yang, Biaogui 1 Yang, Xuebo 1 Yuan, Demei 1 Yue, Zhongqi 1 Zhang, Hanjun 1 Zhao, Shangwei 1 Zheng, Yuge 1 Zhong, Wanxie 1 Zhou, Yusheng
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#### Cited in 37 Serials

 6 Communications in Statistics. Theory and Methods 4 Journal of Mathematical Analysis and Applications 4 Optimal Control Applications & Methods 4 Journal of Inequalities and Applications 4 Discrete Dynamics in Nature and Society 3 Engineering Analysis with Boundary Elements 3 Journal of Vibration and Control 3 Abstract and Applied Analysis 3 Journal of Systems Science and Complexity 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Kybernetika 2 Statistics & Probability Letters 2 Acta Mathematica Hungarica 2 Journal of the Korean Statistical Society 1 International Journal of Control 1 Journal of the Franklin Institute 1 Lithuanian Mathematical Journal 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of Econometrics 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Statistics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Stochastic Processes and their Applications 1 Statistical Papers 1 Electronic Journal of Probability 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Extremes 1 Acta Mechanica Sinica 1 Sankhyā. Series A
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#### Cited in 14 Fields

 46 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 8 Systems theory; control (93-XX) 6 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)