查询词典 homogeneous markov chain

In chapter 3, firstly, homogeneous finite Markov chain is introduced.

比较了遗传算法、进化规划和进化策略三种算法的异同。

State transfer was modeled by homogeneous Markov chain ifevery traditional bifurcation region was regarded as a state.

将传统动力学每一个分岔区域看成动力系统的一个状态，建立状态转移的齐次马尔科夫链模型。

Assuming that each component has only two states: work or failure, then the state process of the system is a continuous time discrete state homogeneous Markov chain, and it can create a set of differential equations.

提出了一个负载分担可修的并联系统模型，在系统中，n个并联部件是可修的，一个部件失效，将会导致剩余部件有更高的负载，从而引起更高的失效率。

We use the transitional probability of two states nonhomogeneous continuous time Markov chain to build the novel transitional model. When we extend the simple model to more complicated ones such as nonhomogeneous Poisson process, we can extend the homogeneous continuous time Markov chain to nonhomogeneous one at the same time.

我们用二状态非齐性连续时间马可夫鍊的转移机率来建构新的递移模型，当将简单的模型扩展到复杂的模型，例如N服从非齐性不瓦松过程，同时，可以从齐一性连续时间马可夫鍊延伸到非齐性连续时间马可夫鍊。

Homogeneous Markov chain ; embedding problem ; bistochastic matrix ; discrete skeleton

齐次马氏链；嵌入问题；双随机矩阵；离散骨架

The probability model of Extensive Generalized Self-shrinking Generator is constructed. The output time sequences and the output sequences are analyzed: the output time sequences are proved as a homogeneous Markov chain, and the output sequences are independent and identically uniform distributed. The coincidence between the output sequences and some correlation sequences in this generator is given.

然后，建立了泛广义自缩减生成器的概率模型，分析了该生成器的输出时间序列及输出序列的性质，得到了生成器的输出时间序列是一个齐次马氏链，输出序列是独立同均匀分布的随机变量序列，还得到了输出序列与生成器中一些相关序列的符合率。

In order to improve the validity and reliability of the model, the random state of weapon systems after accomplishing the mission at random time is regarded as a random process, and the computing model of the dependability matrix is established by using Kolmogorov backward and forward equations of the continuous time homogeneous Markov chain. The transfer probability is found by solving the matix differential eguation.

为了提高模型的有效性和可信度，将武器系统在执行任务后任意时刻处于某种状态看作是一个随机过程，应用连续时间齐次马尔可夫桩的柯尔莫哥洛夫向前和向后方程建立可信赖度矩阵计算模型，求解矩阵微分方程得到转移概率。

SPNAnalyzer software system has a very friendly man-machine interaction interface, so the visualized modeling of stochastic Petri net is very intuitional and convenient. The response and handling of the Windows messages is extended to the graph tool module, so it is very easy to maintain. The class design of the element object module and the graph tool module guarantees the expansibility of the system. The crucial technologies including the reachability set algorithm of the stochastic Petri net model, the constitution of the homogeneous Markov chain, and the computation of the steady state probability are implemented. The design of the data structure adopts the linked list, so the execution of the algorithms is very efficient.

SPNAnalyzer软件系统具有非常友好的人机交互界面，使可视化的随机Petri网建模变得非常直观方便；将各种Windows消息的响应和处理延伸至图形工具模块，使系统的维护变得容易；元素对象模块和图形工具模块的类的设计使系统的可扩展性很好；实现了随机Petri网模型的可达集生成算法和同构马尔可夫链的构造及其稳定状态概率的求解等关键技术；数据结构的设计采用链表的形式，使各种算法都具有较高的执行效率。

Furthermore, as a deduction, it obtains a strong law of large numbers for non-homogeneous Markov chain functions.

这里的结果推广了经典的独立随机变量序列的强大数定律，同时也推广了前人关于非齐次马尔可夫链函数强大数定律的结果。

Key words: probability theory and mathematical statistics; random variable functions; strong law of large numbers; non-homogeneous Markov chain functions

引用格 式：吴新星，郭明乐。任意随机变量序列泛函强大数定律的一个分析证明。中国科技论文在线精品论文，2009，2(1)：54～60。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。