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国家自然科学基金(10371092): 作品数：48被引量：143H指数：8; 导出分析报告; 相关作者：胡迪鹤李永奎刘禄勤李国亮王伟刚更多>>; 相关机构：武汉大学浙江工商大学上海市城市化生态过程与生态恢复重点实验室浙江林学院更多>>; 相关期刊：《系统科学与数学》《Science China Mathematics》《武汉大学学报（理学版）》《Acta Mathematica Scientia》更多>>; 相关主题：随机环境RANDOMQ-PROCESSMARKOV_CHAINMARKOV更多>>; 相关领域：理学自然科学总论天文地球环境科学与工程更多>>

THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT(I):MODEL,MARKOV PROPERTY,MOMENTS: 《Acta Mathematica Scientia》2010年第5期1669-1678,共10页胡迪鹤胡晓予; Supported by the NSFC(10371092,11771185,10871200); There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment （BCDSTRE）, i.e., the coupling of branching chain and random walk. In Section...; 关键词：branching chain with drift in space-time random enviromnent randombranching generating function local random transition generating function random drift law random branching law

随机环境中受控分枝过程的稳定性(英文)被引量：4: 《数学杂志》2009年第3期237-241,共5页王伟刚胡迪鹤; Supported by the National Natural Science Fundation of China(10371092);the Foundation of Wuhan University; 本文研究了控制函数独立同分布,并且第n代的繁殖情况取决于环境的随机环境中分枝过程.给出了该模型稳定的充分条件,当环境平稳遍历时,得到了过程几乎处处灭绝的充分条件.; 关键词：随机环境中控制分枝过程稳定性灭绝概率

随机环境中马氏链转移函数的收敛性被引量：3: 《数学杂志》2008年第5期546-550,共5页高振龙王伟刚胡迪鹤; 国家自然科学基金(10371092); 本文研究了随机环境中马氏链转移函数的收敛性.利用Doeblin条件,得到了随机环境中一般状态马氏链转移函数弱收敛及强收敛的一些条件,以及收敛速度的一个估计.; 关键词：随机环境转移函数弱收敛强收敛随机Doeblin条件

THE CONSTRUCTION OF DENUMERABLE q-PROCESSES IN RANDOM ENVIRONMENTS SATISFYING (F) OR (B)被引量：2: 《Acta Mathematica Scientia》2008年第4期975-988,共14页胡迪鹤胡晓予; the NNSF of China(10371092,10771185,10471148);the Foundation of Wuhan University; This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-proces...; 关键词：Markov process in random environment q-matrix in random environment q-process in random environment

鞅差误差序列下半参数EV回归模型的近邻估计被引量：1: 《数学杂志》2008年第2期203-208,共6页谭星; 国家自然科学基金(10371092); 本文研究了误差为鞅差序列的条件下的一维半参数EV回归模型.利用两步估计的方法构造了参数分量和非参数分量的近邻估计,并且分别证明了估计量的L2相合性和强相合性,从而推广了在普通半参数回归模型已有的相关结论.; 关键词：半参数回归模型 EV回归模型近邻估计鞅差序列相合性

THE CONSTRUCTION OF DENUMERABLE q-PROCESSES IN RANDOM ENVIRONMENTS-THE EXISTENCE AND UNIQUENESS被引量：3: 《Acta Mathematica Scientia》2008年第2期225-235,共11页胡迪鹤胡晓予; the NNSF of China(10371092,10771185,10471148); The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary an...; 关键词：Markov process in random environment q-matrix in random environment q-process in random environment

The Limit Theorems for Random Walk with State Space R in a Space-time Random Environment: 《Acta Mathematica Sinica,English Series》2008年第4期655-662,共8页Wei Gang WANG Zhen Long GAO Di He HU; the National Natural Science Fundation of China (10371092);the Foundation of Wuhan University; We consider a discrete time random environment. We state that when the random walk on real number space in a environment is i.i.d., under the law, the law of large numbers, iterated law and CLT of the process are corr...; 关键词：space-time random environment the law of large numbers CLT iterated law invariance principle

两总体下双参数指数分布门限参数的比较: 《数学杂志》2008年第1期100-104,共5页李正帮李波周小双赵培信; 国家自然科学基金(10371092);数学天元基金(10526021); 本文研究了当刻度参数未知时,双参数指数分布门限参数的检验问题.利用了似然比检验的方法,获得了检验统计量及检验水平的上下界.该方法应用在两个截尾数相等情形下,所得到的检验水平是真实的.; 关键词：定数截尾双参数指数分布检验

THE ERGODICITY FOR BI-IMMIGRATION BIRTH AND DEATH PROCESSES IN RANDOM ENVIRONMENT被引量：1: 《Acta Mathematica Scientia》2008年第1期43-53,共11页胡迪鹤张书林; Supported by the NNSF of China (10371092,10771185) ;the Foundation of Whuan University; The concepts of bi-immigration birth and death density matrix in random environment and bi-immigration birth and death process in random environment are introduced. For any bi-immigration birth and death matrix in ran...; 关键词：Density matrix in random environment random transition matrix Markov process in random environment bi-immigration birth and death density matrix in random environment bi-immigration birth and death process in random environment

The Classification of States for Markov Chain in Random Environments and m-irreducible: 《Wuhan University Journal of Natural Sciences》2007年第3期402-406,共5页WANG Weigang HU Dihe; Supported by the National Natural Science Foundation of China (10371092);the Foundation of Wuhan University; First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is stu...; 关键词：Markov chain in random environment m-irreducible recurrent stat transient state positive recurrent

国家自然科学基金(10371092)