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LNQD样本最近邻密度估计的相合性 被引量：1

Consistency of Nearest Neighbor Estimation of Density Function for Linearly Negative Quadrant Dependent Samples
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摘要 本文在LNQD样本下研究最近邻密度估计的相合性,给出弱相合性、强相合性、一致强相合性以及它们的收敛速度的充分条件,同时研究了失效率函数估计的一致强相合性。 The consistency of nearest density estimator for linearly negative quadrant dependent samples is discussed. Some sufficient conditions for week consistency, strong consistency, uniformly strong consistency and consistent rates are given. At the same time ,the uniformly strong consistency of the hazard rate estimation is researched in this paper.
作者 崔永君 杨善朝 梁丹
机构地区 广西师范大学数学科学学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2012年第2期59-65,共7页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(11061007) 广西自然科学基金资助项目(2011GXNSFA018133)
关键词 LNQD序列 最近邻密度估计 相合性 linearly negative quadrant dependent nearest neighbor density estimator consistency
分类号 O212.7 [理学—概率论与数理统计]
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参考文献14

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二级参考文献10

共引文献55

同被引文献8

  • 1Newman C M. Asymptotic independence and limit theorems for positively and negatively dependent random variables[J]. Lecture Notes-Monograph Series, 1984,5 : 127-140.
  • 2Wang J F, Zhang L X. A Berry-Esseen theorem for weakly negatively dependent random variables and its appllcations[J]. Acta Math- ematiea Hungarica,2006,110(4) : 293-308.
  • 3Ko M H, Choi Y K, Choi Y S. Exponential probability inequality for linearly negative quadrant dependent random variables[J]. Com- mun Korean Math So, 2007,22:137-143.
  • 4Ko M H, Ryu D H, Kim T S. Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables [J]. Tai- wanese Journal of Mathe matics,2007,11(2) :511 522.
  • 5Li Y M, Guo J H, Li N Y. Some inequalities for a LNQD sequence with app[ications[J]. Journal of Inequalities and Applications,2012, 2012(1) :1-9.
  • 6Walter G G. Wavelet and other orthogonal systems with applications[M]. Florida:CRC Press, Inc, 1994.
  • 7杨洋,王岳宝.强平稳LPQD序列更新过程的渐近正态性[J].应用概率统计,2008,24(1):37-42. 被引量：1
  • 8钱伟民,柴根象.半参数回归模型小波估计的强逼近[J].中国科学（A辑）,1999,29(3):233-240. 被引量：39

引证文献1

广西师范大学学报（自然科学版）
2012年 第2期

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