학술논문
稳定特征函数族S的充分条件 / A sufficient Condition for Stable characteristic function class
Document Type
Academic Journal
Author
Source
郑州大学学报（工学版） / Journal of Zhengzhou University(Engineering Science). 15(4):115-118
Subject
Language
Chinese
ISSN
1671-6833
Abstract
目前国内出版的有关分析概率方面的书,在讨论稳定特征函数S时,一般均给出了其范式形式作为必要条件,但是却极少涉及到范式本身也是S的充分条件这一点,本文将在文献[1]的基础上给出这个充分条件的一种证法,且把S的充要条件扩展到更加一般的形式.
When stable c.f.class is discussed,domastic works on analytic probability published so far usurally give its normal form as a necessary condition,but they ignore the fact that the nor-mal form is also the sufficien condition for stable c.f.class.This paper puts forward a proof of the safficient condition on the base of[1],and expands the sufficient and necessary condi-tion to a more general form.
When stable c.f.class is discussed,domastic works on analytic probability published so far usurally give its normal form as a necessary condition,but they ignore the fact that the nor-mal form is also the sufficien condition for stable c.f.class.This paper puts forward a proof of the safficient condition on the base of[1],and expands the sufficient and necessary condi-tion to a more general form.