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Comparing sums of independent bounded random variables and sums of Bernoulli random variables

✍ Scribed by Erich Berger

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
363 KB
Volume
34
Category
Article
ISSN
0167-7152

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✦ Synopsis

This paper deals with the comparison of tail probabilities for sums of independent bounded random variables and those fbr sums of Bernoulli random variables. As a consequence, we obtain a new sufficient criterion for the strong law of large numbers for a certain class of sequences of independent random variables satisfying boundedness and second moment conditions, which -in a sense -cannot be improved upon.

Keywords."

Comparison theorems for sums of independent random variables; Bernoulli random variables; Strong law of large numbers

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