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Almost-Sure Results for a Class of Dependent Random Variables |
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| Authors: | Magda Peligrad Allan Gut |
| Affiliation: | (1) Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, 45221-0025;(2) Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden |
| Abstract: | The aim of this note is to establish almost-sure Marcinkiewicz-Zygmund type results for a class of random variables indexed by  d+ —the positive d-dimensional lattice points—and having maximal coefficient of correlation strictly smaller than 1. The class of applications include filters of certain Gaussian sequences and Markov processes. |
| Keywords: | Random field moment inequality strong law identically distributed random variables maximal coefficient of correlation |
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