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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. |
| 关键词: END序列 最近邻密度估计 强相合速度 |
| DOI： |
| 分类号:O212.7 |
| 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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| RATE OF STRONG CONSISTENCY OF NEAREST NEIGHBORESTIMATOR OF DENSITY FUNCTION FOR END SAMPLES |
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LAN Chong-feng,WU Qun-ying
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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. |
| Key words: extended negatively dependent sequences nearest neighbor estimator of density function rate of strong consistency |
