Central limit theorem for dependent multidimensionally indexed random variables
We consider dependent multidimensionally indexed random variables whose dependence is determined by the distance of their indices. This provides a generalization of the well-known notion of m-dependence. For the partial sum of a collection of such variables we prove a central limit theorem.
Year of publication: |
2003
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Authors: | Christofides, Tasos C. ; Mavrikiou, Petroula M. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 63.2003, 1, p. 67-78
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Publisher: |
Elsevier |
Keywords: | Dependent random variables Multidimensionally indexed random variables Central limit theorem |
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