Edit Profile (opens in new tab) Liu, Wen Co-Author Distance Author ID: liu.wen Published as: Liu, Wen Documents Indexed: 104 Publications since 1977 Reviewing Activity: 43 Reviews Co-Authors: 16 Co-Authors with 62 Joint Publications 609 Co-Co-Authors all top 5 Co-Authors 41 single-authored 32 Yang, Weiguo 7 Liu, Zikuan 7 Wang, Zhongzhi 3 Wang, Jinting 3 Wang, Liying 2 Liu, Guoxin 2 Liu, Yucan 2 Wang, Yujin 2 Zhang, Lina 1 Chen, Zhigang 1 Gu, Qiaolun 1 Jiang, Dongming 1 Li, Zhicai 1 Tomkins, R. James 1 Yan, Jia-An 1 Ye, Zhongxing all top 5 Serials 11 Statistics & Probability Letters 10 Chinese Journal of Applied Probability and Statistics 7 Acta Mathematicae Applicatae Sinica 6 Chinese Science Bulletin 6 Acta Mathematica Scientia. Series A. (Chinese Edition) 6 Journal of Hebei University of Technology 5 Journal of Mathematics. Wuhan University 5 Mathematica Applicata 5 Kexue Tongbao 4 American Mathematical Monthly 4 Chinese Journal of Mathematics 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Acta Mathematica Sinica 3 Stochastic Processes and their Applications 2 IEEE Transactions on Information Theory 2 Journal of Combinatorics, Information & System Sciences 2 Journal of Multivariate Analysis 2 Journal of Systems Science and Mathematical Sciences 2 Taiwanese Journal of Mathematics 2 Mathematical Theory and Application 1 Mathematics Magazine 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 Soochow Journal of Mathematics 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal of Mathematical Study 1 Probability in the Engineering and Informational Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Archives of Inequalities and Applications 1 Chinese Journal of Engineering Mathematics all top 5 Fields 86 Probability theory and stochastic processes (60-XX) 22 Information and communication theory, circuits (94-XX) 15 Real functions (26-XX) 4 Number theory (11-XX) 4 Statistics (62-XX) 3 Measure and integration (28-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 177 times in 102 Documents Cited by ▼ Year ▼ An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains. Zbl 0861.60042 Liu, Wen; Yang, Weiguo 31 1996 Strong law of large numbers for Markov chains field on a Bethe tree. Zbl 0981.60064 Yang, Weiguo; Liu, Wen 23 2000 The asymptotic equipartition property for \(m\)th-order nonhomogeneous Markov information sources. Zbl 1319.60066 Yang, Weiguo; Liu, Wen 21 2004 The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems. Zbl 1051.94005 Liu, Wen; Yang, Weiguo 20 2000 The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems. Zbl 1116.60343 Liu, Wen; Wang, Liying 9 2003 A class of strong limit theorems for the sequences of arbitrary random variables. Zbl 1113.60303 Liu, Wen; Yang, Weiguo 8 2003 Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees. Zbl 1059.94003 Yang, Weiguo; Liu, Wen 8 2002 On the strong law of large numbers for functionals of countable nonhomogeneous Markov chains. Zbl 0799.60027 Liu, Guoxin; Liu, Wen 7 1994 An approach to construct the singular monotone functions by using Markov chains. Zbl 0930.26004 Liu, Wen 6 1998 Some strong limit theorems for Markov chain fields on trees. Zbl 1109.60029 Liu, Wen; Yang, Weiguo 6 2004 Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree. Zbl 0994.60069 Yang, Weiguo; Liu, Wen 4 2001 A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables. Zbl 1016.60035 Liu, Wen; Wang, Yujin 4 2002 A limit theorem for the entropy density of nonhomogeneous Markov information source. Zbl 0833.60034 Liu, Wen; Yang, Weiguo 3 1995 A limit theorem for partial sums of random variables and its applications. Zbl 1116.60322 Liu, Wen; Yan, Jia-an; Yang, Weiguo 3 2003 A limit property of random conditional probabilities. Zbl 0964.60032 Liu, Wen 2 2000 An extension of a theorem on gambling systems. Zbl 0849.60024 Liu, Wen; Wang, Zhongzhi 2 1995 A class of strong laws for functionals of countable nonhomogeneous Markov chains. Zbl 0810.60062 Liu, Wen; Liu, Guoxin 2 1995 A class of continuous functions. Zbl 0445.26002 Liu, Wen 2 1977 Some strong limit theorems relative to the geometric average of random transition probabilities of arbitrary finite nonhomogeneous Markov chains. Zbl 0814.60027 Liu, Wen 2 1994 A strong limit theorem on gambling systems. Zbl 1016.60033 Liu, Wen; Wang, Jinting 2 2003 A strong limit theorem for the harmonic mean of the random transition probabilities of finite nonhomogeneous Markov chains. Zbl 0964.60024 Liu, Wen 1 2000 Constructing the space filling curve by using the Cantor series. Zbl 0839.26007 Liu, Wen 1 1995 A limit property of random conditional probabilities and an approach of conditional moment generating function. Zbl 1017.60036 Liu, Wen 1 2000 The limit properties of a class of averages of functions of two variables of arbitrary information sources. Zbl 1050.94513 Liu, Wen; Yang, Weiguo 1 1995 A nowhere differentiable continuous function. Zbl 0998.26008 Liu, Wen 1 2000 Some extensions of Shannon-McMillan theorem. Zbl 0930.94013 Liu, Wen; Yang, Weiguo 1 1996 Some properties of the relative entropy density of arbitrary information source. Zbl 0709.94008 Liu, Wen 1 1990 An analytic technique to prove Borel’s strong law of large numbers. Zbl 0746.60031 Liu, Wen 1 1991 The comparison between arbitrary information sources and nonhomogeneous Markov information sources and the small deviations theorems. Zbl 1053.94541 Liu, Wen; Yang, Weiguo 1 1997 A class of small deviation theorems for the sequences of nonnegative integer-valued random variables. Zbl 0891.60040 Liu, Wen 1 1997 Some limit properties of the multivariate function sequences of discrete random variables. Zbl 1016.60034 Liu, Wen 1 2003 A nowhere differentiable continuous function constructed using Cantor series. Zbl 1002.26005 Liu, Wen 1 2001 The asymptotic equipartition property for \(m\)th-order nonhomogeneous Markov information sources. Zbl 1319.60066 Yang, Weiguo; Liu, Wen 21 2004 Some strong limit theorems for Markov chain fields on trees. Zbl 1109.60029 Liu, Wen; Yang, Weiguo 6 2004 The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems. Zbl 1116.60343 Liu, Wen; Wang, Liying 9 2003 A class of strong limit theorems for the sequences of arbitrary random variables. Zbl 1113.60303 Liu, Wen; Yang, Weiguo 8 2003 A limit theorem for partial sums of random variables and its applications. Zbl 1116.60322 Liu, Wen; Yan, Jia-an; Yang, Weiguo 3 2003 A strong limit theorem on gambling systems. Zbl 1016.60033 Liu, Wen; Wang, Jinting 2 2003 Some limit properties of the multivariate function sequences of discrete random variables. Zbl 1016.60034 Liu, Wen 1 2003 Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees. Zbl 1059.94003 Yang, Weiguo; Liu, Wen 8 2002 A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables. Zbl 1016.60035 Liu, Wen; Wang, Yujin 4 2002 Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree. Zbl 0994.60069 Yang, Weiguo; Liu, Wen 4 2001 A nowhere differentiable continuous function constructed using Cantor series. Zbl 1002.26005 Liu, Wen 1 2001 Strong law of large numbers for Markov chains field on a Bethe tree. Zbl 0981.60064 Yang, Weiguo; Liu, Wen 23 2000 The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems. Zbl 1051.94005 Liu, Wen; Yang, Weiguo 20 2000 A limit property of random conditional probabilities. Zbl 0964.60032 Liu, Wen 2 2000 A strong limit theorem for the harmonic mean of the random transition probabilities of finite nonhomogeneous Markov chains. Zbl 0964.60024 Liu, Wen 1 2000 A limit property of random conditional probabilities and an approach of conditional moment generating function. Zbl 1017.60036 Liu, Wen 1 2000 A nowhere differentiable continuous function. Zbl 0998.26008 Liu, Wen 1 2000 An approach to construct the singular monotone functions by using Markov chains. Zbl 0930.26004 Liu, Wen 6 1998 The comparison between arbitrary information sources and nonhomogeneous Markov information sources and the small deviations theorems. Zbl 1053.94541 Liu, Wen; Yang, Weiguo 1 1997 A class of small deviation theorems for the sequences of nonnegative integer-valued random variables. Zbl 0891.60040 Liu, Wen 1 1997 An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains. Zbl 0861.60042 Liu, Wen; Yang, Weiguo 31 1996 Some extensions of Shannon-McMillan theorem. Zbl 0930.94013 Liu, Wen; Yang, Weiguo 1 1996 A limit theorem for the entropy density of nonhomogeneous Markov information source. Zbl 0833.60034 Liu, Wen; Yang, Weiguo 3 1995 An extension of a theorem on gambling systems. Zbl 0849.60024 Liu, Wen; Wang, Zhongzhi 2 1995 A class of strong laws for functionals of countable nonhomogeneous Markov chains. Zbl 0810.60062 Liu, Wen; Liu, Guoxin 2 1995 Constructing the space filling curve by using the Cantor series. Zbl 0839.26007 Liu, Wen 1 1995 The limit properties of a class of averages of functions of two variables of arbitrary information sources. Zbl 1050.94513 Liu, Wen; Yang, Weiguo 1 1995 On the strong law of large numbers for functionals of countable nonhomogeneous Markov chains. Zbl 0799.60027 Liu, Guoxin; Liu, Wen 7 1994 Some strong limit theorems relative to the geometric average of random transition probabilities of arbitrary finite nonhomogeneous Markov chains. Zbl 0814.60027 Liu, Wen 2 1994 An analytic technique to prove Borel’s strong law of large numbers. Zbl 0746.60031 Liu, Wen 1 1991 Some properties of the relative entropy density of arbitrary information source. Zbl 0709.94008 Liu, Wen 1 1990 A class of continuous functions. Zbl 0445.26002 Liu, Wen 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 109 Authors 41 Yang, Weiguo 23 Shi, Zhiyan 12 Wang, Zhongzhi 10 Huang, Huilin 10 Liu, Wen 7 Peng, Weicai 7 Wang, Bei 5 Fan, Yan 4 De Amo, Enrique 4 Diaz Carrillo, Manuel 4 Fernández-Sánchez, Juan 4 Wang, Kangkang 4 Zhong, Pingping 3 Chen, Shu 3 Ding, Chengjun 3 Ding, Fangqing 2 Bao, Dan 2 Chen, Peishu 2 Chen, Shuang 2 Li, Gaorong 2 Liu, Cong 2 Song, Jing 2 Tian, Lixin 2 Wang, Hongyong 2 Zang, Qingpei 2 Zhang, Yue 1 Agarwal, Ravi P. 1 Avraham-Re’em, Nachi 1 Bai, Jianfang 1 Ban, Jungchao 1 Bao, Zhenhua 1 Barabash, Oleg V. 1 Borwein, Peter Benjamin 1 Bu, Jueping 1 Chen, Gang 1 Chen, Mengru 1 Chen, Xia 1 Chen, Yang 1 Choi, Kwok-Kwong Stephen 1 Ciesielski, Krzysztof Chris 1 Cornean, Horia D. 1 Dang, Hui 1 Dietz, Zach 1 Dong, Fengkai 1 Dong, Yan 1 Dong, Yun 1 Feng, Sanying 1 Galbete, Arkaitz 1 Gao, Rong 1 Girardin, Valerie 1 Guo, Haiying 1 Guyon, Julien 1 Hao, Ruili 1 Herbst, Ira W. 1 Hong, Jyy-I 1 Hou, Yongchao 1 Hu, Ping 1 Jiang, Haifeng 1 Kopiika, Oleg 1 Li, Yingqiu 1 Li, Yiqing 1 Liang, Faming 1 Limnios, Nikolaos 1 Lin, Ying-Fen 1 Liu, Jie 1 Liu, Wei 1 Ma, Chaoqun 1 Min, Fan 1 Moler, José Antonio 1 Musienko, Andrey I. 1 Niu, Yannan 1 O’Regan, Donal 1 Pan, Heng 1 Plo, Fernando 1 Serbenyuk, Symon Oleksandrovych 1 Sethuraman, Sunder 1 Sobchuk, Valentyn V. 1 Sørensen, Kasper S. 1 Støttrup, Benjamin B. 1 Tang, Ying 1 Wang, Jinting 1 Wang, Liying 1 Wang, Shuai 1 Wang, Suming 1 Wang, Xiaosheng 1 Wang, Xuewu 1 Weicai, Peng 1 Weiguo, Yang 1 Wong, Ngai-Ching 1 Wu, Baihui 1 Wu, Yuliang 1 Xi, Xinyue 1 Xu, Zongben 1 Yan, Jia-An 1 Yan, Li 1 Yang, Jie 1 Yang, Shanshan 1 Yang, Xue 1 Ye, Zhongxing 1 Zamrii, Iryna V. ...and 9 more Authors all top 5 Cited in 39 Serials 22 Communications in Statistics. Theory and Methods 13 Statistics & Probability Letters 11 Journal of Inequalities and Applications 7 Probability in the Engineering and Informational Sciences 4 Journal of Mathematical Analysis and Applications 2 Ukrainian Mathematical Journal 2 Czechoslovak Mathematical Journal 2 Stochastic Analysis and Applications 2 Acta Mathematica Hungarica 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Linear Algebra and its Applications 2 Applied Mathematics. Series B (English Edition) 2 Filomat 2 Stochastics 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Journal of Multivariate Analysis 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Sequential Analysis 1 Science in China. Series A 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 The Journal of Analysis 1 Bernoulli 1 Journal of Mathematical Study 1 Methodology and Computing in Applied Probability 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Mathematical Inequalities 1 International Journal of Stochastic Analysis 1 Journal of Probability and Statistics 1 ISRN Applied Mathematics 1 Open Mathematics all top 5 Cited in 17 Fields 84 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 9 Combinatorics (05-XX) 8 Real functions (26-XX) 8 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 3 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year