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Some Limit Results for Weighted Sum of B-Valued Random Variables
Received:October 29, 1997
Revised:December 23, 1999
Key Words
:
WLLN
complete convergence
Banach space of stable type p.
Fund Project
:
Author Name
Affiliation
CHEN Ping-yan
Dept. of Math.
,
Wuhan Univ.
,
430072
,
China
GAN Shi-xin
Dept. of Math.
,
Zhongshan Univ.
,
Guangzhou 510275
,
China
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:
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:
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Abstract
:
In this paper, we establish the weak law of large number (WLLN), Lr convergence, complete convergence of weighted sums of doubly infinite sequcence of B-valued random variables, connecting with geometry property of Banach space.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2000.04.028
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