[1]李 军.NA 样本最近邻密度估计的弱相合性[J].常州大学学报(自然科学版),2010,(04):67-68.
 LI Jun.Consistency of Nearest Neighbor Density Function Estimator for Negative Associated Samples[J].Journal of Changzhou University(Natural Science Edition),2010,(04):67-68.
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NA 样本最近邻密度估计的弱相合性()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2010年04期
页码:
67-68
栏目:
数理科学
出版日期:
2010-12-25

文章信息/Info

Title:
Consistency of Nearest Neighbor Density Function Estimator for Negative Associated Samples
作者:
李 军
常州大学数理学院, 江苏 常州 213164
Author(s):
LI Jun
School o f Physics and Mathematics , Changzhou Unive rsity , Chang zou 213164 , China
关键词:
NA 样本最近邻密度估计弱相合性
Keywords:
Negative asso ciated samples neig hbo r density estimato r w eak co nsi stency
分类号:
O 212.7
文献标志码:
A
摘要:
在NA 样本下研究了最近邻密度估计。与同类文章相比, 将条件 k2n n ※ ∞削弱为这里的 kt n n ※∞, t ∈ (1 , 2] , 因而在较 弱的条件下得到了弱相合性的结论。
Abstract:
This paper has di scussed the consistency of nearest neig hbo r densi ty e stimato r fo r negat ive associated samples .Compared to the 7th reference , i t w eakens the condit ion k2n n ※∞, to kt n n ※∞, t ∈ (1 , 2] , so it get s weak consistency under weaker conditio n .

参考文献/References:

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[3] Devroye L P , Wagner T J .T he st rong unif orm con sist ency of nearest neigh bor densi ty fu nct ion es tim at ors [J] .Ann St ati st , 1977 , 5 :536 -540.
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[5] Boen te G , Fraiman R.C onsis tency of a nonparam et ric estim at e of a densi ty funct ion f or dependen t variab les [J] .Mult ivari at e Analysi s , 1988 , 25 :90 -99.
[6] Ch ai Genxi ang .Consi st ency of nearest n eighb or densit y estimate of st at ionary p roces ses [J] .Acta M athematic Sini ca , 1989 , 32 (3):423 -432.
[7] 杨善朝.NA 样本最近邻密度估计的相合性[J] .应用数学学 报, 2003 , 26 (3):385 -395.

备注/Memo

备注/Memo:
作者简介:李军(1966 -), 男, 安徽六安人, 硕士, 副教授, 研究方向, 概率统计。
更新日期/Last Update: 2010-12-25