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1Exponential Inequality for a Class of NOD Random Variables and Its Application显示文摘In this paper,an exponential inequality for weighted sums of identically distributed NOD (negatively orthant dependent) random variables is established,by which we obtain the almost sure convergence rate of which reaches the available one for independent random variables in terms of Berstein type inequality. As application,we obtain the relevant exponential inequality for Priestley-Chao estimator of nonparametric regression estimate under NOD samples,from which the strong consistency rate is also obtained.XING Guodong YANG Shanchao 2011Wuhan University Journal of Natural Sciences2011,16,1:1
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