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Remarks on the strong law of large numbers for a triangular array of associated random variables
Authors:Isha Dewan  B L S Prakasa Rao
Institution:(1) Indian Statistical Institute, 7, S.J.S. Sansanwal Marg, 110016 New Delhi, India
Abstract: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.
Keywords:Strong law of large numbers  associated random variables  kernel type density estimation
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