Some strong limit theorems for nonhomogenous markov chains in random environments;
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。
This is the probability limit theorems in the second basic form of the original first.
这就是概率论中第二个基本极限定理的原始初形。
In this article, we investigate some problems of the limit theorems of the NA random variables.
本文研究了负相协随机变量列极限定理的若干问题。
The strong limit theorems for Markov chain fields indexed on the arbitrary Bethe tree are studied.
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。
In the proof a new analytic technique in the study of the strong limit theorems for Markov chains is applied.
证明中应用了研究马尔可夫链强极限定理的一种新的分析方法。
Probability limit theorems surveyed mainly involved strong laws of large Numbers, rates of convergence, convergence in distribution and large deviation principles.
涉及的概率极限定理包括强大数律，收敛速度，依分布收敛和大偏差原理。
The purpose of this paper is to present a class of new strong limit theorems on the frequency ofm-tuple of states for arbitrary countable non-homogeneous Markov chains.
本文的目的是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类新形式的强极限定理，所得结论对任意可列非齐次马尔可夫链普遍成立。
The strong limit theorems on the arbitrary stochastic convergence for the harmonic mean of the random conditional probabilities in the random selection system is studied.
主要研究任意随机序列在随机选择系统中的随机条件概率其调和平均的强极限定理。
Until now, all the results on central limit theorems under sublinear expectations require that the sequence of random variables is independent and identically distributed.
本文的目的是探究次线性期望理论中一个重要的结果：中心极限定理。
Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.
主题包括测度论，极限定理，包围概率和期望，耦合和斯坦的方法，鞅，马尔可夫链，更新理论，和布朗运动。
Moreover, the idea of random transformation of gambling system is extended to the sequence of arbitrary random variable, and some limit theorems for their random selection and random .
并把赌博系统的随机变换概念推广到任意随机变量序列的情况，得到任意随机变量序列随机选择与公平比的若干极限定理。
In the proof, the tools of the conditional moment generating function and the differentiation on a net for the study on strong limit theorems in the random selection system are applied.
在证明中采用了一种把网微分法与条件矩母函数相结合应用于随机选择系统强极限定理研究的一种途径。
As corollaries, we obtain some strong limit theorems for the frequencies of occurrence of states and ordered couples of states for the even-odd Markov chain fields and Markov chain fields.
作为这一类强极限定理的推论得到了状态和状态序偶出现频率的一类强极限定理。
There's no reason to believe there is any limit on the amount of newly created wealth consumers can absorb, any more than there is a limit on the number of theorems that can be proven.
就像待证明定理的数量没有上限一样，我们也没有理由相信人们在消费新创造的社会财富的能力方面有上限。
The paper gives several theorems for derivate of the function with finite limit at the infinite point and its strict proof.
给出了在无穷远处具有有穷极限的函数的有关导数的几个定理及其严格证明。
Limit analysis takes advantage of the lower-and upper-bound theorems of plasticity theory to provide bounds on the true solution of a stability.
极限分析理论采用塑性上、下限定理为稳定性的真解提供了限界。
In this paper, we studied the existence and uniqueness of limit cycle or the predator-prey system (l), and obtained theorems 1, 2, 3.
本文研究捕食—食饵系统(1)极限环的存在唯一性，得到了文中的定理1、2、3。
This paper presents the oscillation field theorems of L′Hospital′s limit.
本文给出了整齐振荡型洛毕达极限的振荡区间的确定方法。
Under some conditions, if obeys central limit theorem, so does, and the inverse theorems are studied.
在某些限制条件下，其逆命题也成立。
In this paper, the way of solving the limit of" indeterminate form" problems by using derivatives is changed to that by using difference, and two basic theorems similar to L'Hopital's rule are given.
求不定型极限问题是高等数学中的一个重要内容，而洛必达法则是求这种极限的一种有力手段。
In this paper, the way of solving the limit of" indeterminate form" problems by using derivatives is changed to that by using difference, and two basic theorems similar to L'Hopital's rule are given.
求不定型极限问题是高等数学中的一个重要内容，而洛必达法则是求这种极限的一种有力手段。
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