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对于四阶矩估计，给出了四阶遍历条件。Conditions for the fourth-order ergodicity are given.

而混沌运动遍历性保证了这一局部稳定域一定可达。Due to the ergodicity of chaos, the region is certain to reach.

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第七章研究了连续时间马氏链的强遍历性。Chapter 4 is devoted to studying geometric ergodicity of Markov chains.

其次，本文提出了基于树结构的未知环境遍历算法。Secondly, we give an ergodicity algorithm to unknown environment as tree structure.

这个量子涨落的性质在统计力学中称为遍历性。This property of the quantum fluctuations is known in statistical mechanics as ergodicity.

此方法使用了三步混沌搜索，并引入随机数来增强遍历性。The proposed algorithm uses three search steps and introduces random numbers to enforce ergodicity.

在遍历性的假设条件下讨论了一类积分方程遍历性解的存在性。The authors discuss the existence of ergodic solutions of some integral equations under the assumption of ergodicity.

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混沌是一种新颖的优化技术，具有随机性、遍历性的特点和易跳出局部极值的能力。As a new optimization technique, chaos bears randomicity, ergodicity and the superiority of escaping from a local optimum.

首先，通过大量的文献阅读，总结了现有遍历算法和移动物体检测算法。Firstly, review a lot of relevant papers and conclude recent ergodicity algorithm and algorithm of detecting moving objects.

提出一种关于多层前向神经网络结构的混沌优化设计方法。The optimization design method is proposed for feed-forward neural network structure by means of chaos ergodicity and randomicity.

这个新条件仅使用模型的初始数据，但利用了生灭过程的遍历性理论。These conditions only employ the initial data of the controlled system, but make use of the ergodicity of a birth and death process.

给出了一个ARCH型有限阶双线性模型，讨论了这一模型的严平稳性及遍历性。In this paper, a finite-order ARCH-type bilinear model is presented. The strict stationarity and ergodicity of this model are discussed.

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特别，跟传统自动机不同的是，新算法的极限行为同时兼具吸收壁和遍历性。Especially, as opposed to the traditional automata, the limiting behavior of the proposed algorithm possesses both absorbing barriers and ergodicity.

提出了随机系数泛函自回归模型，得到了几何遍历性的充分条件。In this paper, a random coefficient functional autoregressive model is proposed and the sufficient condition of the geometric ergodicity is obtained.

本文给出了具有突变率的广义生-灭过程的常返性、正常返性、指数遍历性及强遍历性的充分必要条件。The necessary and sufficient conditions for recurrence, positive recurrence, exponential ergodicity and strong ergodicity of the process are presented.

其产生的水印信息具有很好的随机性，遍历性等统计特性以及安全性。The watermark engendered by chaos and cellular Automata has good statistic property, such as stochastic property, ergodicity property etc and security.

根据UWB室内多径信道接收功率的遍历性假设，利用得到的多径信道模型计算室内UWB通信系统的功率分布。Based on the ergodicity assumption for received power in UWB indoor channel, signals power distributions in three different environments were simulated.

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在这篇文章中，讨论了由这个模型确定的导出序列的遍历性以及该模型的伴随几何遍历性。In this paper, we research that the induced series of this model is geometrically ergodicity Markov chain and this model is adjoint geometrically ergodic.

由于混沌优化算法的叠代具有不重复性和遍历性，因此该算法可以避免陷入局部最优点而获得全局最优。Based on the congruence non-repetition and ergodicity of chaos, the method will avoid the local optimal solution and find satisfactory globe optimal solution.

应用其方法研究了一类扩展的分支过程，得到该过程强遍历的一个必要条件。Applying the ideas for an extended class of continuous-time branching processes, one necessary condition is obtained for the strong ergodicity of the processes.