On the Almost sure Convergence Rate for Weighted Sums of Negatively Associated Random Variables with Application to Priestley-Chao Estimate

Gan Ji Huang; Guo Dong Xing

doi:10.4028/www.scientific.net/AMM.742.449

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 742On the Almost sure Convergence Rate for Weighted...

On the Almost sure Convergence Rate for Weighted Sums of Negatively Associated Random Variables with Application to Priestley-Chao Estimate

Abstract:

This paper deals with the problem of almost sure convergence rate for weighted sums of negatively associated random variables. A new convergence rate is obtained base on an exponential inequality, the result obtained extends and has a fast convergence rate compare with the existing result. As an application, we study the Priestley-Chao estimate of nonparametric regression estimate and the convergence rate is derived.