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文章基本信息

  • 标题:Asymptotic results for an L 1 -norm kernel estimator of the conditional quantile for functional dependent data with application to climatology
  • 作者:Ali Laksaci ; Mohamed Lemdani ; Elias Ould Saïd
  • 期刊名称:Sankhya. Series A, mathematical statistics and probability
  • 印刷版ISSN:0976-836X
  • 电子版ISSN:0976-8378
  • 出版年度:2011
  • 卷号:73
  • 期号:1
  • 页码:125-141
  • DOI:10.1007/s13171-011-0002-4
  • 语种:English
  • 出版社:Indian Statistical Institute
  • 摘要:In this paper, we study an L 1-norm kernel estimator of the conditional quan- tile (CQ) of a scalar response variable Y given a random variable (rv) X taking values in a semi-metric space. The almost complete ( a.co .) consis- tency and the asymptotic normality of this estimate are obtained when the sample is an α -mixing sequence. We illustrate our methodology by applying the estimator to climatological data.
  • 关键词:Asymptotic distribution ; dependency ; functional data ; robust estimation
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