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The strong law of large numbers for linear random fields generated by negatively associated random variables on \(Z^d\). (English) Zbl 1274.60095

Summary: We establish the strong law of large numbers for linear multi-parameter stochastic processes generated by identically distributed and negatively associated random fields. Our result generalizes the classical strong law of large numbers for the identically distributed and negatively associated random field to the linear random field by using the Beveridge-Nelson decomposition.

MSC:

60F15 Strong limit theorems
60F10 Large deviations
60G60 Random fields
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References:

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