A theorem about the oscillation of sums of independent random variables

Authors:
D. L. Hanson and F. T. Wright

Journal:
Proc. Amer. Math. Soc. **37** (1973), 226-233

MSC:
Primary 60G50; Secondary 60J15

MathSciNet review:
0315779

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be i.i.d. random variables and let . The relationship between the *t*th moment of and the convergence of the series is investigated in this paper. The convergence of the series above when but is related to the oscillation of the sequence and to the oscillation of the sequence about zero.

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DOI:
https://doi.org/10.1090/S0002-9939-1973-0315779-0

Keywords:
Oscillation,
oscillation about zero

Article copyright:
© Copyright 1973
American Mathematical Society