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Measuring the magnitude of sums of independent random variables
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Measuring the magnitude of sums of independent random variables

Pawel Hitczenko and Stephen Montgomery-Smith
09 Sep 1999
url
https://doi.org/10.48550/arxiv.math/9909054View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Annals of Probability, 29, (2001), 447-466. This paper considers how to measure the magnitude of the sum of independent random variables in several ways. We give a formula for the tail distribution for sequences that satisfy the so called Levy property. We then give a connection between the tail distribution and the pth moment, and between the pth moment and the rearrangement invariant norms.

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