JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (11): 54-59.doi: 10.6040/j.issn.1671-9352.0.2017.138

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Consistencies of recursive estimator of a probability density for extended negatively dependent samples

LI Yong-ming1,2, DENG Shao-jian3, JIANG Wei-hong1   

  1. 1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, Jiangxi, China;
    2. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, China;
    3. School of Mathematical Science, Guangxi Teachers Education University, Nanning 530023, Guangxi, China
  • Received:2017-03-28 Online:2017-11-20 Published:2017-11-17

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Abstract: This paper considers an identically distributed and extended negatively dependent random variable sequence with a common unknown density. Under suitable conditions, we obtaine the strong consistency and moment consistency for a kind of recursive kernel estimator of density.

Key words: END sample, recursive kernel estimator, moment consistency, strong consistency

CLC Number: 

  • O212.7
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