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。
The conditions necessary for verification of the upper and lower limit theorem , which have been now verified , were analyzed 摘要对目前所证明的上、下限定理所需的条件进行了分析，认为目前的证明尚存在值得进一步推敲的疑点。
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。
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。
Solomon ( 1975 ) introduced the concept of random walk in a random environment , proved the existence of the model on the set of integers , and obtained its limit theorems Solomon ( 1975 )引进了随机环境中随机游动的概念，在整数集上证明了该模型的存在性，并得到了它的极限定理。
This dissertation verifies the applicability of the upper limit theorem and the lower limit theorem in the classical plastic limit analysis theory , and gives correspondingly constrained conditions 从理论上论证了经典的塑性极限分析理论中的上、下限定理对散体材料的适用性，并给出了相应的限制条件。
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。
Thirdly , we study the a - invariant radon measures for random walks and levy processes and give some nice ratio limit theorems that is relative to the a - invariant radon measures 同时我们研究了随机游动和l vy过程的-过分函数和-过分测度，并给出过程沿着矩母函数的次微分方向趋于-不变radon测度的一些比例极限定理。
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。
