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On the asymptotic behavior of nearest neighbor estimator of conditional median

✍ Scribed by Zheng Zhongguo

Book ID: 110557598
Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 1985
Tongue: English
Weight: 273 KB
Volume: 1
Category: Article
ISSN: 1439-7617
DOI: 10.1007/bf02564815

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Let (X 1 , Y 1 ), (X 2 , Y 2 ), ..., be d+1 dimensional random vectors which are distributed as (X, Y). Let %(x) be the conditional median, that is, We consider the problem of estimating %(x) from the data (X 1 , Y 1 ), ..., (X n , Y n ) which are :-mixing dependence. L 1 -norm kernel estimators of