Remarks on the strong law of large numbers for a triangular array of associated random variables

Dewan, Isha ; Prakasa Rao, B. L. S. (1997) Remarks on the strong law of large numbers for a triangular array of associated random variables Metrika, 45 (1). pp. 225-234. ISSN 0026-1335

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Official URL: http://www.springerlink.com/content/u12xh040656741...

Related URL: http://dx.doi.org/10.1007/BF02717105

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 point wise 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.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Strong Law of Large Numbers; Associated Random Variables; Kernel Type Density Estimation
ID Code:37854
Deposited On:26 Apr 2011 10:48
Last Modified:26 Apr 2011 10:48

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