| END样本最近邻密度估计的强相合速度 |
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| 引用本文： | 兰冲锋,吴群英.END样本最近邻密度估计的强相合速度[J].数学杂志,2015,35(3):665-671. |
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| 作者姓名： | 兰冲锋 吴群英 |
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| 作者单位： | 阜阳师范学院经济与管理学院, 安徽 阜阳 236037,桂林理工大学理学院, 广西 桂林 541004 |
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| 基金项目： | 国家自然科学基金资助(11061012);安徽省自然科学研究项目基金资助(KJ2013Z265;2014KJ006). |
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| 摘 要： | 本文研究了扩展负相依(END)样本最近邻密度估计的强相合性问题.利用END序列的Bernstein型不等式和截尾的方法,获得了END样本最近邻密度估计的强相合速度,推广了NA样本和ND样本最近邻密度估计的相应结果.
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| 关 键 词： | END序列 最近邻密度估计 强相合速度 |
| 收稿时间： | 2013/8/11 0:00:00 |
| 修稿时间： | 2013/12/30 0:00:00 |
RATE OF STRONG CONSISTENCY OF NEAREST NEIGHBORESTIMATOR OF DENSITY FUNCTION FOR END SAMPLES |
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| LAN Chong-feng and WU Qun-ying.RATE OF STRONG CONSISTENCY OF NEAREST NEIGHBORESTIMATOR OF DENSITY FUNCTION FOR END SAMPLES[J].Journal of Mathematics,2015,35(3):665-671. |
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| Authors: | LAN Chong-feng and WU Qun-ying |
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| Institution: | School of Economics and Management, Fuyang Teachers College, Fuyang 236037, China and College of Science, Guilin University of Technology, Guilin 541004, China |
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| Abstract: | In this paper, we discuss the strong consistency of nearest neighbor estimator of density function for END samples. By applying Bernstein type inequality and truncation methods, the rate of strong consistency of nearest neighbor estimator of density function for END samples is obtained. Our results extend the corresponding ones of nearest neighbor estimator of density function for NA samples and ND samples. |
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| Keywords: | extended negatively dependent sequences nearest neighbor estimator of density function rate of strong consistency |
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