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It is different from the method of embedded Markov chain, which can only give the results in the form of Laplace transform or generating function.

而传统的嵌入马尔可夫链方法所得结果均以Laplace变换或母函数的形式给出。

We obtain the transient distribution of queue length and probability generating function of queue equilibrium distribution.

研究了服务前需要重新调整机器的单重休假M~x/G/1排队系统,在LS变换和L变换下得到了服务员忙期中队长的瞬态分布和队长稳态分布的概率母函数

By the method of supplemental variable, some important performance measures and queues generating function of this system have been attained.

运用补充变量法列出稳态下系统的状态偏微积分方程组,从而求得了系统主要排队指标及稳态队长的概率母函数的随机分解结果。

By introducing the generatingfunction method,the integrability of FDIHS is proved,which is thesimplest way we know so far.

通过引入母函数方法,较简洁地证明了系统的可积性,包括守恒积分族的对合性与独立性,其中关于对合性的证明是迄今为止最为简洁的证明。

For BMAP/SM/1 queue, we derive the generating function of queueing length by use of imbedded markov chain and transition probability matrix.

关于BMAP/SM/1排队模型,运用嵌入马氏链的方法,通过转移概率矩阵,得到队长的概率母函数

Computation of Laplace transforms is an important component of multifrac-tal analysis, and the moment generating function for occupation time of stochastic processes is the Laplace transforms of occupation time.

拉普拉斯变换的计算是重分形分析的一个重要组成部分,随机过程逗留时的矩母函数是逗留时的拉普拉斯变换。

The major contribution of this thesis is introduce and develop Moment Generating Function Approach to performance analysis of Arbitrary Stochastic Petri Nets In which firing delays of transitions can be either deterministic or arbitrarily distributed random variable with a moment generating function.

在ASPN中,变迁的激活时延即可以是确知的或具有矩母函数的任意分布的随机变量。

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。

A model is proposed to analyze the MAC access delay of EDCA (enhanced distribution channel access) mechanism of wireless LANs, which is based on the moment generating function and signal flow graph.

提出一种分析模型,基于信号流图和母函数方法分析了无线局域网中EDCA(enhanced distribution channel access)机制的MAC接入延时。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上,本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值,并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

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