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《JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE)》 1994-01
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Calculating Extinction Probabilities and Mean Absorption Time for the Birth Death Chain in a Random Environment

Wang Rongming (Department of Mathematics)  
In this paper,we generalizee the state space {0, 1, 2, …,N } of BDIRE Z_n, n≥0 Discussed by Torrez. W. C.(2) to Z~+ = { 0, 1, 2,… }.by using the theory of markov chains,we obtain vector difference equations about extinction probslities and mean absorption time.
【Fund】: 国家自然科学基金 安徽省教委基金
【CateGory Index】: O211.6
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Zhu Dongjin(Department of Mathematics);The Asymptotic Behavior of Birth and Death Process in Random Environment[J];Journal of Anhui Normal University(Natural Science);1995-01
2 Zhu Dongjin (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);A NOTE ON THE STRONG LAW OF LARGE NUMBERS[J];Journal of Anhui Normal University(Natural Science);1998-01
3 LI Wei (Dept. of Math., Zhongkai Agriculture Technology College, Guangzhou 510225,China);Calculation Extinction Probabilities and Mean Absorption Time for Generalized Birth-death Chains in a Random Environment[J];JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(NATURAL SCIENCE);2000-03
4 Wu Qunying (Dept. of Basic Sci.,Guilin Institute of Technology,12 Jianganlu,Guilin,Guangxi,541004);Strong Convergence Properties of the Partial Sum of Mixing Random Sequences[J];GUANGXI SCIENCES;1999-02
5 YANG Wen-quan(Hubei Institute for Nationalities, Enshi 445000,China);STRONG LAW OF LARGE NUMBERS FOR MIXING SEQUENCES[J];JOURNAL OF HUBEI INSTITUTE FOR NATIONALITIES;2000-02
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7 HU Xing1,XU Shan2(1.Department of Mathematics,Zhejiang University,Hangzhou 310027,China;2.Department of Electronic Engineering,Liaocheng Vocation and Technology College,Liaocheng 252000,China);Almost sure central limit theorem of the product of φ-mixing sums[J];Journal of Zhejiang University(Science Edition);2007-05
8 Du Wuchu (Mathematics Department);A WEAK LAW OFφ—MIXING[J];JOURNAL OF SUZHOU UNIVERSITY;1993-01
9 YANG SHAN-CHAO(Department of Mathematics, Guangxi Normal University, Guilin 541004);ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF MIXING SEQUENCES[J];JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES;1995-03
10 Xiao Zhengyan Hu Dihe (College of Mathematical and Statistics Science, Wuhan University, Wuhan 430072);The Classification of States for Skew Product Markov Chains[J];Acta Mathematiea Scientia;2003-03
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