Upper bounds for series involving moderate and small deviations

Author:
Aurel Spataru

Journal:
Proc. Amer. Math. Soc. **138** (2010), 2601-2606

MSC (2010):
Primary 60G50; Secondary 60E15, 60F15

Published electronically:
February 26, 2010

MathSciNet review:
2607890

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be i.i.d. random variables with and and set We prove Paley-type inequalities for series involving probabilities of moderate deviations and probabilities of small deviations ,

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Additional Information

**Aurel Spataru**

Affiliation:
Casa Academiei Romane, Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie, nr. 13, 76100 Bucharest, Romania

DOI:
http://dx.doi.org/10.1090/S0002-9939-10-10247-0

Keywords:
Tail probabilities of sums of i.i.d. random variables,
Paley-type inequalities,
moderate deviations,
small deviations,
law of the iterated logarithm.

Received by editor(s):
June 7, 2009

Received by editor(s) in revised form:
October 9, 2009

Published electronically:
February 26, 2010

Communicated by:
Richard C. Bradley

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.