CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS

数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 229-236.

CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS

梁汉营, 王丽

Department of Applied Mathematics, Tongji University, Shanghai 200092, China

出版日期:2001-04-07 发布日期:2001-04-07
基金资助:
Supported by the Science Fund of Tongji University

CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS

LIANG Han-Ying, WANG Li

Department of Applied Mathematics, Tongji University, Shanghai 200092, China

Online:2001-04-07 Published:2001-04-07
Supported by:
Supported by the Science Fund of Tongji University

摘要/Abstract

摘要：

The author discusses necessary and sufficient conditions of the complete con-vergence for sums of B-valued independent but not necessarily identically distributed r.v.′s in Banach space of type p, and obtain characterization of Banach space of type p in terms of the complete convergence. A series of classical results on iid real valued r.v.′s are extended.As application author gives the analogous results for randomly indexed sums.

关键词: Convergence rate, random element, Banach space of type p, slowly varying function

Abstract:

Key words: Convergence rate, random element, Banach space of type p, slowly varying function

中图分类号:

60B12

梁汉营, 王丽. CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS[J]. 数学物理学报(英文版), 2001, 21(2): 229-236.

LIANG Han-Ying, WANG Li. CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS[J]. Acta mathematica scientia,Series B, 2001, 21(2): 229-236.

CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS

CONVERGNECE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS

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