母函数 meaning in English
determining function
erzeugende funktion generating function
generatingfunction
moment generating function
Examples
- A supplementary variable technique is used to obtain the steady - state function and the steady - state probability generation function of the number of customers in the system
采用补充变量法,首先建立了系统稳态下的状态转移方程,通过求解得到了稳态下系统队长的概率母函数,进而计算出稳态下系统的平均队长。 - Thirdly , we study the a - invariant radon measures for random walks and levy processes and give some nice ratio limit theorems that is relative to the a - invariant radon measures
同时我们研究了随机游动和l vy过程的-过分函数和-过分测度,并给出过程沿着矩母函数的次微分方向趋于-不变radon测度的一些比例极限定理。 - In the second section , the discrete model is constructed that is based on the rule given in the first section . the analytic solutions of the mean lengths of the three queues are obtained by introducing the generating function
第二节同样建立起离散模型,并得到了三个队队长联合分布的母函数,最后得到了三个队平均队长的解析解。 - Secondly we study the properties of moment generating functions of probability measures , calculate its sub - differential by the convex analysis , use it to characterize the quasi - symmetric probability
本文研究了概率测度的矩母函数的性质,用凸分析的方法算出了矩母函数的次微分,并用此完全刻画了c . j . stone提出的拟对称概率测度的性质。 - Later , professor liu wen studied the sequences of discrete random variables by combining the analytic technique with the approach of generating function and moment generating function and obtained a class of deviation theorems [ 10 ] ~ [ 121
后来,刘文教授把分析方法结合母函数和矩母函数的方法研究了离散型随机变量,得到了一类强偏差定理。