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