Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (5): 963-969.
Previous Articles Next Articles
Zhifeng Zhu1,2(),Shaoyi Zhang1,*(
)
Received:
2017-04-23
Online:
2018-11-09
Published:
2018-11-09
Contact:
Shaoyi Zhang
E-mail:376574200@qq.com;zhshaoyi@aliyun.com
Supported by:
CLC Number:
Zhifeng Zhu,Shaoyi Zhang. Study on the Convergence of Nonhomogeneous Markov Chains with Probability Distance[J].Acta mathematica scientia,Series A, 2018, 38(5): 963-969.
1 | Chen M F . From Markov Chains to Nonequilibrium Particle Systems. SingaPore: World Scientific, 2004 |
2 | Meyn S P , Tweedie R L . Markov Chains and Stochastic Stability. London: Springer-Verlag, 1992 |
3 |
Bowerman B , David H T , Isaacson D . The convergence of Cesaro averagesfor certain non-stationary Markov chains. Stachastic Processes and Their Applications, 1977, 5: 221- 230
doi: 10.1016/0304-4149(77)90032-1 |
4 | 龚光鲁, 钱敏平. 应用随机过程教程及在算法和智能计算中的随机模型. 北京: 清华大学出版社, 2004 |
Gong Guanglu , Qian Minping . A Course in Appied Stochastic Processes and Stochastic Models in Algorithms and Intelligence Computation. Beijing: Tsinghua University Press, 2004 | |
5 | 张绍义. 转移概率的可测耦合与概率距离. 数学年刊A辑, 1995, 6 (16): 769- 775 |
Zhang Shaoyi . The measurable coupling and probability distance of transition probability. Chinese Annals of Mathematics, 1995, 6 (16): 769- 775 | |
6 | 张绍义, 徐侃. 转移概率最优可测耦合的存在性. 数学学报, 1997, 1 (40): 5- 13 |
Zhang Shaoyi , Xu Kan . The existence of optimal measurable coupling of transition probability. Acta Mathematica Sinica, 1997, 1 (40): 5- 13 | |
7 | Zhang S Y . Regularity and existence of invariant measures for jump processes. Acta Mathematica Sinica, 2005, 48: 785- 788 |
8 |
Zhang S Y . Existence of the optimal measurable coupling and ergodicity for markov processes. Science in China (Series A), 1999, 42: 58- 67
doi: 10.1007/BF02872050 |
9 | Andradottir S . A method for discrete stochastic optimization. Management Science, 1995, 12 (41): 1946- 1961 |
10 | Gutjahr W J , Pflug G C . Simulated annealing for noisy cost functions. Journal of Global Optimization, 1996, 8: 1- 13 |
11 |
Ahmed M A , Alkhamis T . M-Simulation-based optimization using simulated an. nealing with ranking and selection. Computers Operations Research, 2002, 29 (4): 387- 402
doi: 10.1016/S0305-0548(00)00073-3 |
Viewed | ||||||||||||||||||||||||||||||||||||||||||||||||||
Full text 94
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||
Abstract 106
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||
Cited |
|
|||||||||||||||||||||||||||||||||||||||||||||||||
Shared | ||||||||||||||||||||||||||||||||||||||||||||||||||
Discussed |
|