On almost sure limit theorems for positively dependent random variables
Przemyslaw Matula
Statistics & Probability Letters, 2005, vol. 74, issue 1, 59-66
Abstract:
In this note, we prove an almost sure limit theorem for pairwise quadrant-dependent random variables. From the main result, we obtain the Glivenko-Cantelli lemma for pairwise PQD and the almost sure central limit theorem for i.i.d. random variables.
Keywords: Positively; quadrant; dependent; random; variables; Association; Glivenko-Cantelli; lemma; Almost; sure; central; limit; theorem (search for similar items in EconPapers)
Date: 2005
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