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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。
- 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。
- Constructs a.e. convergence martingal by means of moment function and analytical method.A new proof on a limit theorem of random selection for i.i.d.random variables is obtained. 利用矩母函数构造几乎处处收敛的鞅，结合分析方法，给出关于独立同分布随机变量序列随机选择的一个强极限定理证明。
- 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。
- The purpose of this paper is to present a new strong limit theorem and its extension on the frequency of m-tuple of states for arbitrary countable non-homogeneous Markov chains. 摘要给出关于可列非齐次马尔可夫链M元状态序组出现频率的一个新形式的强极限定理及其推广，所得结论对任意可列非齐次马尔可夫链普遍成立。
- A function central limit theorem was established for Markov chains in random environments under the assumption that Markov bichains was stationary and ergodic. 在双链平稳遍历的条件下，建立了随机环境中马氏链的函数的中心极限定理。
- In this paper a central limit theorem and some large deviation estimates are proved for Axiom A endomorphisms, and some known statistical results are reviewed. 本文对公理A自同态建立了中心极限定理和大偏差估计;并且复习了已知的有关统计性结果.
- According to the central limit theorem, the writer analyses the using case of air splicer, and clarifies the using distribution of air splicer, obtains the statistic on air consumption of air splicer. 运用中心极限定理对空气捻接器的使用情况进行分析,明确了空气捻接器的使用分布情况,得出了空气捻接器耗气量的统计数据。
- At first some properties on nonhomogeneous Markov models are obtained in the lemma, then a limit theorem for the average of the three variables function of hidden nonhomogeneous Markov model is given. 首先在引理中得出了隐非齐次马尔可夫模型的一些性质，从而导出了隐非齐次马尔可夫模型的三元函数一类平均值的强极限定理。
- Abstract： Constructs a.e. convergence martingal by means of moment function and analytical method.A new proof on a limit theorem of random selection for i.i.d.random variables is obtained. 摘 要： 利用矩母函数构造几乎处处收敛的鞅，结合分析方法，给出关于独立同分布随机变量序列随机选择的一个强极限定理证明。
