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Strong laws for weighted sums of i.i.d. random variables
Author(s):
Guang-hui
Cai
Journal:
Electron. Res. Announc. Amer. Math. Soc.
12
(2006),
29-36.
MSC (2000):
Primary 60F15
Posted:
March 6, 2006
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Abstract:
Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. The result obtained extends and sharpens the result of Sung.
References:
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Additional Information:
Guang-hui
Cai
Affiliation:
Department of Mathematics and Statistics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China
Email:
cghzju@163.com
DOI:
10.1090/S1079-6762-06-00157-0
PII:
S 1079-6762(06)00157-0
Keywords:
Almost sure convergence,
Marcinkiewicz-Zygmund strong laws
Received by editor(s):
February 24, 2005
Posted:
March 6, 2006
Additional Notes:
The author would like to thank an anonymous referee for his/her valuable comments.
Communicated by:
Mark Freidlin
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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