Remarks on the Strong Law of Large Numbers for a Triangular Array of Associated Random Variables

A strong law of large numbers for a triangular array of strictly stationary associated random variables is proved. It is used to derive the pointwise strong consistency of kernel type density estimator of the one-dimensional marginal density function of a strictly stationary sequence of associated random variables, and to obtain an improved version of a result by Van Ryzin (1969) on the strong consistency of density estimator for a sequence of independent and identically distributed random variables

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Year of publication:	1997
Authors:	Dewan, Isha ; Prakasa Rao, Bhagavatula L. S.
Publisher:	[S.l.] : SSRN
Subject:	Wahrscheinlichkeitsrechnung \| Probability theory \| Theorie \| Theory
Description of contents:	Abstract [papers.ssrn.com]