母函数

A succinct analytic expression can not be obtained, when the reachability graph of the ASPN is very large.

由于ASPN的可达图很大时不能得到简洁的表达式，为克服这个难点，我们又提出了矩阵矩母函数方法。

The model adopts cumulant generating function to analyze path-level packet transmission probability from end-to-end measurements and estimate link-level packet transmission probability.

该模型基于端到端的测量方式，采用累积母函数对网络路径级数据包通过率进行分析，估计出网络链路级数据包通过率的统计信息。

Aim\ To study the asympototic estimation for extinction probability in two environment states Smith Wilkinson BPRE with fractional linear probability generating function.

目的 探讨具有分式线性概率母函数两环境状态 Smith-Wilkinson BPRE灭绝概率的渐近估计。

First, in Chapter 1, we provide some exact, elegant formulae of the transition distribution of immigration-birth-death process by moment generating function.

第一章我们利用矩母函数给出了三个精确而优美的转移概率公式。

With the use of the thin process theory, the Probability Generating Function of the IBP is obtained. An iterative algorithm, which can be used to calculate the IBP probability distribution, is presented.

用稀疏过程理论得到IBP的概率母函数，提出了一种迭代方法计算IBP的概率分布，并就突发源的等价描述进行了讨论。

A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用条件矩母函数将关于Bernoulli序列赌博策略的一个强极限定理推广到取可列值的任意相依随机变量序列的情况，并且通过允许选择函数在一个区间中取值，推广了随机选择的概念。

Owing to the complexity of CIMS' missions,the reliability modeling should adapt the production processes accurately.Conventional reliability model method can not reflect the time dynamic behavior of CIMS,so the multitask reliability model based on generalized stochastic Petri nets is established for a CIMS manufacturing shop with multiple missions and the process times of the machines with exponential distributions.Furthermore,analysis of GSPN model based on behavior expression and moment generating function is presented,then can compute the transfer functions.Finally,the multitask reliability can be easily obtained without the reachability graph of Petri nets,which measure can reflect the operating performance of the whole multitask CIMS more intuitively.

CIMS生产的复杂性要求其可靠性模型可以精确地反映生产过程，由于传统的可靠性建模方法无法兼顾CIMS的时间动态特性，所以针对一个复杂的有多个加工任务的CIMS制造单元，由于其机器加工工件的时间均为指数分布，则采用广义随机Petri网进行多任务可靠性建模，在此基础上基于Petri网行为表达式，将矩母函数思想引入其中，不必生成可达标识图就可通过计算模型的传递函数，进而得到整个系统的多任务可靠度，该可靠性指标可以更直观地反映具有多种加工任务的整个CIMS的运行性能。

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

Aiming at complicated computing and difficulty of being realized when extending single sensor PHD filtering to the multi-sensor case by means of probability generating function, a multi-sensor multi-target sequential particle-PHD tracking algorithm is proposed based on the thought of sequential filtering for a centralized fusion system. The algorithm chooses the importance density function with regard to every sensor, and updates sample particle of every sensor layer by layer.

当采用概率母函数将单传感器PHD滤波推广到多传感器情形时，针对计算繁琐，难于实现的问题，本文基于集中式融合系统的有序滤波思想，提出多传感器、多目标有序粒子PHD跟踪算法，该算法通过选取与各传感器相关的重要性密度函数，层层更新各传感器的采样粒子，达到多传感器多目标有序PHD跟踪。

Thirdly, we study the α-invariant Radon measures for random walks and Levy processes and give some nice ratio limit theorems that is relative to the α-invariant Radon measures.

同时我们研究了随机游动和Levy过程的α-过分函数和α-过分测度，并给出过程沿着矩母函数的次微分方向趋于α-不变Radon测度的一些比例极限定理。

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。