CONVERGENCE OF RANDOM POWER-SERIES WITH PAIRWISE INDEPENDENT BANACH-SPACE-VALUED COEFFICIENTS

被引：0

作者：

ROTERS, M ^{[1
]}

机构：

[1] UNIV TRIER,FACHBEREICH MATH STAT 4,W-5500 TRIER,GERMANY

来源：

STATISTICS & PROBABILITY LETTERS | 1993年 / 18卷 / 02期

关键词：

RANDOM POWER SERIES; RADIUS OF CONVERGENCE; ZERO-ONE LAW; REFINED BOREL-CANTELLI LEMMA;

D O I：

10.1016/0167-7152(93)90179-M

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The distribution of the radius of convergence of a random power series with pairwise independent and non-identically distributed Banach-space-valued coefficients is considered. The results obtained here extend the well-known work in the complex-valued, identically distributed case and provide a correction of a theorem in Rohatgi (1975) concerning independent, non-identically distributed coefficients.

引用

页码：121 / 123

页数：3