THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT 被引量：19

下载PDF

导出

摘要 The concepts of branching chain in random environmnet and canonical branching chain in random environment are introduced.Moreover the existence of these chains is proved.Finally the exact formulas of mathematical expectation and variance of branching chain in random environment are also given.

作者 Hu Dihe 胡迪鹤(The College of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)

机构地区 The College of Mathematics and Statistics

出处《Acta Mathematica Scientia》 SCIE CSCD 2004年第3期499-506,共8页 数学物理学报(B辑英文版)

基金 Supported by NNSF of china(10371092) the Foundation of Wuhan University

关键词 Random transition matrix branching chain in random environment canonical branching chains in random environments generator random varialble

分类号 O211.62 [理学—概率论与数理统计]

引文网络
相关文献

同被引文献49

1胡迪鹤,胡晓予.ON MARKOV CHAINS IN SPACE-TIME RANDOM ENVIRONMENTS[J].Acta Mathematica Scientia,2009,29(1):1-10. 被引量：7
2HU Dihe.Infinitely dimensional control Markov branching chains in random environments[J].Science China Mathematics,2006,49(1):27-53. 被引量：6
3HU DiheSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.The construction of Markov processes in random environments and the equivalence theorems[J].Science China Mathematics,2004,47(4):481-496. 被引量：27
4HU Dihe.The existence and uniqueness of q-process in ran-dom environment[J].Science China Mathematics,2004,47(5):641-658. 被引量：21
5LI Yingqiu.Recurrence and invariant measure of Markov chains in double-infinite random environments[J].Science China Mathematics,2001,44(10):1294-1299. 被引量：18
6LI YingQiu,LIU QuanSheng.Age-dependent branching processes in random environments[J].Science China Mathematics,2008,51(10):1807-1830. 被引量：12
7胡迪鹤.THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2005,25(1):23-29. 被引量：11
8杨卫国.非齐马氏链熵率存在定理[J].数学的实践与认识,1993,23(2):86-90. 被引量：13
9HU Di-he,ZHANG Shu-lin.The Laplace Functional and Moments for Markov Branching Chains in Random Environments[J].Wuhan University Journal of Natural Sciences,2005,10(3):485-492. 被引量：1
10胡迪鹤.THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2005,25(3):555-568. 被引量：6

引证文献19

1胡迪鹤.THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2005,25(1):23-29. 被引量：11
2张术林.随机环境中r维分支链的协方差计算[J].数学杂志,2005,25(3):327-332.
3吕平,胡迪鹤.随机环境中分枝过程的几个极限定理[J].武汉大学学报（理学版）,2005,51(5):533-536.
4侯传志,陆中胜.随机环境中线性控制分枝链的概率性质[J].南京理工大学学报,2006,30(3):385-388.
5胡迪鹤.THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS[J].Acta Mathematica Scientia,2006,26(3):431-442. 被引量：2
6胡迪鹤,孙春香.随机环境中的分支过程的模型及存在性[J].武汉大学学报（理学版）,2007,53(1):1-4. 被引量：2
7胡迪鹤,吕文华.分支随机转移矩阵的几个分析性质[J].武汉大学学报（理学版）,2007,53(1):5-8. 被引量：1
8胡迪鹤,田红霞.分支随机Q过程的惟一性[J].武汉大学学报（理学版）,2007,53(1):9-12.
9吕文华.连续时间参数随机环境中分支随机转移阵的几个分析性质[J].滁州学院学报,2007,9(3):7-10. 被引量：1
10张俊英.关于随机环境分枝过程存活概率的几个定理[J].太原理工大学学报,2007,38(6):564-566.

二级引证文献33

1胡迪鹤.THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2005,25(3):555-568. 被引量：6
2李永奎,胡迪鹤.随机环境中马氏链的禁忌概率[J].武汉大学学报（理学版）,2006,52(3):273-276. 被引量：2
3胡迪鹤.THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS[J].Acta Mathematica Scientia,2006,26(3):431-442. 被引量：2
4张晓敏,胡迪鹤.THE DIMENSIONS OF THE RANGE OF RANDOM WALKS IN TIME-RANDOM ENVIRONMENTS[J].Acta Mathematica Scientia,2006,26(4):615-628.
5费时龙.绕积马氏链的状态性质[J].重庆工商大学学报（自然科学版）,2006,23(6):545-547.
6胡迪鹤,孙春香.随机环境中的分支过程的模型及存在性[J].武汉大学学报（理学版）,2007,53(1):1-4. 被引量：2
7胡迪鹤,吕文华.分支随机转移矩阵的几个分析性质[J].武汉大学学报（理学版）,2007,53(1):5-8. 被引量：1
8胡迪鹤,田红霞.分支随机Q过程的惟一性[J].武汉大学学报（理学版）,2007,53(1):9-12.
9WANG Weigang,HU Dihe.The Classification of States for Markov Chain in Random Environments and m-irreducible[J].Wuhan University Journal of Natural Sciences,2007,12(3):402-406.
10李应求.双无限随机环境中的常返马氏链[J].数学学报（中文版）,2007,50(5):1099-1110. 被引量：17

1胡迪鹤,胡晓予.THE CONSTRUCTION OF DENUMERABLE q-PROCESSES IN RANDOM ENVIRONMENTS-THE EXISTENCE AND UNIQUENESS[J].Acta Mathematica Scientia,2008,28(2):225-235. 被引量：3
2Hu Dihe,Zhang Shuli.THE ERGODICITY FOR BI-IMMIGRATION BIRTH AND DEATH PROCESSES IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2008,28(1):43-53. 被引量：1
3柳美,孙玉琴,李安贵.模糊概率随机变量的数学期望和方差[J].内蒙古科技大学学报,2006,25(3):296-298. 被引量：3
4Zhichao SHAN,Dayue CHEN.Voter model in a random environment in Zd[J].Frontiers of Mathematics in China,2012,7(5):895-905. 被引量：1
5Wei Gang WANG,Zhen Long GAO,Di He HU.The Limit Theorems for Random Walk with State Space R in a Space-time Random Environment[J].Acta Mathematica Sinica,English Series,2008,24(4):655-662.
6胡迪鹤.THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2005,25(3):555-568. 被引量：6
7En-wen Zhu,Han-jun Zhang,Gang Yang,Zai-ming Liu,Jie-zhong Zou,Shao-shun Long.Ergodicity of a Class of Nonlinear Time Series Models in Random Environment Domain[J].Acta Mathematicae Applicatae Sinica,2010,26(1):159-168.
8高振龙,胡晓予.LIMIT THEOREMS FOR A GALTON-WATSON PROCESS IN THE I.I.D. RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2012,32(3):1193-1205. 被引量：2
9洪文明,孙鸿雁.RENEWAL THEOREM FOR(L,1)-RANDOM WALK IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2013,33(6):1736-1748. 被引量：2
10Ronghua Tan Huili Xiang Yiping Chen Zhijun Liu.Dynamics behaviors of a delayed competitive system in a random environment[J].International Journal of Biomathematics,2015,8(5):181-199. 被引量：4

Acta Mathematica Scientia

2004年第3期

浏览历史

内容加载中请稍等...

THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT 被引量：19

同被引文献49

引证文献19

二级引证文献33

相关作者

相关机构

相关主题

浏览历史