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Rates of Convergence for Random Walk Summation

Rates of Convergence for Random Walk Summation We prove a Marcinkiewicz‐Zygmund type strong law of large numbers for random walk summation methods. We show that the rate of convergence of this type of sums is equivalent to the existence of moments of the summands. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Rates of Convergence for Random Walk Summation

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/19.6.531
Publisher site
See Article on Publisher Site

Abstract

We prove a Marcinkiewicz‐Zygmund type strong law of large numbers for random walk summation methods. We show that the rate of convergence of this type of sums is equivalent to the existence of moments of the summands.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Nov 1, 1987

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