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THE LIMITING BEHAVIORS OF LINEAR RANDOM FIELDS GENERATED BY LNQD RANDOM VARIABLES ON ℤ2

Ko, Mi-Hwa

  • Received : 2011.10.11
  • Accepted : 2011.10.26
  • Published : 2011.12.25

Abstract

In this paper we establish the central limit theorem and the strong law of large numbers for linear random fields generated by identically distributed linear negative quadrant dependent random variables on $\mathbb{Z}^2$.

Keywords

Central limit theorem;Strong law of large numbers;Linearly negative quadrant dependence;Random fields;Linear random field;Beveridge-Nelson decomposition

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Acknowledgement

Supported by : Wonkwang University