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  • 标题:Joint Behaviour of Semirecursive Kernel Estimators of the Location and of the Size of the Mode of a Probability Density Function
  • 本地全文:下载
  • 作者:Abdelkader Mokkadem ; Mariane Pelletier ; Baba Thiam
  • 期刊名称:Journal of Probability and Statistics
  • 印刷版ISSN:1687-952X
  • 电子版ISSN:1687-9538
  • 出版年度:2011
  • 卷号:2011
  • DOI:10.1155/2011/564297
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let 𝜃 and 𝜇 denote the location and the size of the mode of a probability density. We study the joint convergence rates of semirecursive kernel estimators of 𝜃 and 𝜇. We show how the estimation of the size of the mode allows measuring the relevance of the estimation of its location. We also enlighten that, beyond their computational advantage on nonrecursive estimators, the semirecursive estimators are preferable to use for the construction of confidence regions.
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