| NQD样本最近邻密度估计的一致强相合速度 |
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| 引用本文： | 兰冲锋.NQD样本最近邻密度估计的一致强相合速度[J].阜阳师范学院学报(自然科学版),2013(4):5-8. |
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| 作者姓名： | 兰冲锋 |
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| 作者单位： | 北京邮电大学经济与管理学院;阜阳师范学院经济与管理学院 |
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| 基金项目： | 国家自然科学基金数学天元基金项目(11226200);安徽省自然科学研究项目(KJ2013Z265)资助 |
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| 摘 要： | 设X1,X2,…,Xn是同分布的两两NQD样本,具有相同的密度函数f（x）,利用两两NQD序列的Bernstein型不等式,将负相关（NA）样本的最近邻密度估计的一致强相合速度推广到两两NQD样本,在更弱的条件下,获得了与NA样本情形下相同的结论.
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| 关 键 词： | 两两NQD样本 最近邻密度估计 一致强相合速度 |
Rate of uniform strong consistency of nearest neighbor estimator of density function for pariwise NQD samples |
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| LAN Chong-feng.Rate of uniform strong consistency of nearest neighbor estimator of density function for pariwise NQD samples[J].Journal of Fuyang Teachers College:Natural Science,2013(4):5-8. |
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| Authors: | LAN Chong-feng |
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| Institution: | LAN Chong-feng;School of Economics and Management,Beijing University of Posts and Telecommunications;School of Economics and Management,Fuyang Teachers College; |
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| Abstract: | It is supposed that X1, X2,…, Xn are independent and identically distributed pariwise NQD samples, with a common density functionf（x）. By using the Bernstein type inequality for pariwise NQD sequences, the rate of uniform strong con- sistency of nearest neighbor estimator of density function for negatively associated （NA） samples is extended to parlwise NQD sam- ples. Under much weaker conditions, the results are as good as the corresponding ones for NA samples. |
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| Keywords: | pariwise NQD samples nearest neighbor estimator of density function rate of uniform strong consistency |
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