Almost-Sure Results for a Class of Dependent Random Variables

Magda Peligrad () and Allan Gut ()
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Magda Peligrad: University of Cincinnati
Allan Gut: Uppsala University

Journal of Theoretical Probability, 1999, vol. 12, issue 1, 87-104

Abstract: Abstract The aim of this note is to establish almost-sure Marcinkiewicz-Zygmund type results for a class of random variables indexed by ℤ 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 (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021744626773

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