J4 ›› 2013, Vol. 51 ›› Issue (02): 237-240.
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ZENG Xiang, WU Qunying
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Abstract:
Let {εi,1≤i≤n} be negatively dependent and random error sequence. With the help of the nonparametric regression model Yi=g(xi)+εi(1≤i≤n), we discussed the rate of the strong consistency of the nonparametric regression weighted function estimator gn(x) for negatively dependent samples using Bernstein inequality. The consistency was extended to the case of negatively dependent samples.
Key words: negatively dependent sequence, nonparametric regression, weighted kernel estimator, rate of strong consistency
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CENG Xiang, TUN Qun-Yang. Rate of Strong Consistency of Regression Weighted FunctionEstimator for Negatively Associated Dependent Samples[J].J4, 2013, 51(02): 237-240.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2013/V51/I02/237
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