基于函数方程的弱广义稳定和(c,d)-伪稳定随机变量
On weak generalized stability and (c,d)-pseudostable random variables via functional equations
摘要:
本文首次尝试定义和研究关于弱广义卷积的稳定分布,重点研究对称弱稳定分布。与经典卷积的情形一样,弱广义卷积意义下分布稳定性的刻画依赖于求解特征函数类中的某些函数方程.
英文摘要:
In this paper we give a first attempt to define and study stable distributions with respect to the weak generalized convolution, focusing our attention on the symmetric weakly stable distribution. As in the case of the classical convolution, characterization of distributions stable in the sense of the weak generalized convolution depends on solving some functional equations in the class of characteristic functions.
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