Strong laws for weighted sums of i.i.d. random variables
Author:
Guang-hui Cai
Journal:
Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 29-36
MSC (2000):
Primary 60F15
DOI:
https://doi.org/10.1090/S1079-6762-06-00157-0
Published electronically:
March 6, 2006
MathSciNet review:
2218628
Full-text PDF Free Access
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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.
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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
Keywords:
Almost sure convergence,
Marcinkiewicz-Zygmund strong laws
Received by editor(s):
February 24, 2005
Published electronically:
March 6, 2006
Additional Notes:
The author would like to thank an anonymous referee for his/her valuable comments.
Communicated by:
Mark Freidlin
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
