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- A problem in teaching of central limit theorem is discussed in this paper. 摘要指出并分析了目前国内概率论教材中中心极限定理部分存在的一个问题。
- Key words Limit theorem dominated convergence theorems weak equi-tight uniformly integrable. 本刊中 包含“极限定理;控制收敛定理;弱等度胎紧;一致可积.
- Some strong limit theorems for the sequence of arbitrary random sequence are discussed by means of martingale method. 采用鞅方法研究对任意随机变量序列普遍成立的强极限定理。
- Some strong limit theorems of Markov chains in Markovian environments are studied by analysis method. 利用分析方法研究了马氏环境中马氏链的若干强极限定理。
- As corollaries, several strong limit theorems about occurred frequency of states for hidden nonhomogeneous Markov model are obtained. 作为定理的推论,得到了隐非齐次马尔可夫模型状态出现频率的一类强极限定理。
- As corollaries, a class of strong limit theorems for arbitrary function of the random sum of three-order nonhomogeneous Markov chains are obtained. 在此基础上得到了关于三阶非齐次马氏链泛函随机和的一类普遍成立的强极限定理。
- In this paper we made a study on a random function central limit theorems for linear process generated by martingale differences. 关于中心极限定理,众所周知,它是概率论理论中最重要的成果之一。
- The second chapter is about a random function central limit theorems for linear process generated by martingale differences. 李正龙,胡舒合对平稳序列也得到了同样的结论。
- A class of strong limit theorems for the random sum of three-variable state touple of three-order nonhomogeneous Markov chains are investigated. 摘要采用网微分法与纯分析运算相结合的手法,研究三阶可列非齐次马氏链状态序组随机和的一类强极限定理。
- We establish the strong limit theorem for countable Markov chains indexed by a homogeneous tree. 摘要研究了齐次树指标可列马氏链的一类强极限定理。
- Lower bound of functional limit theorem of increment for Brownian sheet in H?lder norm is proved by large deviations. 利用Brownian单在H?lder范数下的大偏差;证明了Brownian单的增量在H?lder范数下的泛函极限定理的下界.
- As corollaries,a limit theorem for the mth-order nonhomogeneous Markov chains is obtained. 作为推论,得到m重非齐次马氏链的一个强极限定理,并将已有的结果加以推广。
- An almost sure central limit theorem for NA and LNQD random vari ables[J].Acta Math Sinica,2004,47:593-600. NA及LNQD随机变量列的几乎处处中心极限定理[J].;数学学报;2004;47:593-600
- For a re-entrant line operating under the last-buffer-first-served servicepolicy, Dai and Bramson (2001) proved a heavy traffic limit theorem. 对于在last-buffer-first-served服务规则下的re-entrant line;Dai and Bramson(2001)证明了高服务强度下的极限定理.
- In the random censorship from right model, weak limit theorem for the modulus of the Bahadur-Kiefer type processes is established. 在随机右删失情况下,证明了基于核光滑PL估计和PL分位点估计的Bahadur-Kiefer过程的模的弱极限定理.
- As corollaries, a limit theorem for the mth-order nonhomogeneous Markov chains is obtained.Moreover.The results obtained are generalized. 作为推论,得到m重非齐次马氏链的一个强极限定理,并将已有的结果加以推广。
- The strong limit theorem of hidden nonhomogeneous Markov model is studied when the hidden chains are nonhomogeneous Markov chains. 摘要假定隐藏的马尔可夫链为非齐次,研究隐非齐次马尔可夫模型的一些强极限定理。
- By using the convergence theorem of martingale difference sequence, a class of strong limit theorem for the functional countable homgenous Markov chain is obtained. 利用鞅差序列的收敛定理,给出了一类关于可列齐次马尔科夫链泛函的强极限定理。
- Constructing a monoton function with the analytic method proposed by Liu Wen and using Lebesgue theoreom, a general founded limit theorem for arbitary binary r. V. S is obtained. 用刘文提出的分析方法构造单调函数结合Lebesgue定理,得到了一个对二值随机序列普遍成立的强极限定理。
- Abstract: By using the convergence theorem of martingale difference sequence,a class of strong limit theorem for the functional countable homgenous Markov chain is obtained. 文摘:利用鞅差序列的收敛定理,给出了一类关于可列齐次马尔科夫链泛函的强极限定理。