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  • 标题:Asymptotic Properties of Minimum S -Divergence Estimator for Discrete Models
  • 作者:Abhik Ghosh
  • 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:2015
  • 卷号:77
  • 期号:2
  • 页码:380-407
  • DOI:10.1007/s13171-014-0063-2
  • 语种:English
  • 出版社:Indian Statistical Institute
  • 摘要:Robust inference based on the minimization of statistical divergences has proved to be a useful alternative to the classical techniques based on maximum likelihood and related methods. Recently Ghosh et al. ( 2013b ) proposed a general class of divergence measures, namely the S -Divergence Family and discussed its usefulness in robust parametric estimation through some numerical illustrations. In this present paper, we develop the asymptotic properties of the proposed minimum S -Divergence estimators under discrete models.
  • 关键词:S -Divergence ; robustness ; asymptotic normality
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