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文章基本信息

  • 标题:General Bootstrap for Dual ϕ-Divergence Estimates
  • 本地全文:下载
  • 作者:Salim Bouzebda ; Mohamed Cherfi
  • 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:2012
  • 卷号:2012
  • DOI:10.1155/2012/834107
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A general notion of bootstrapped ϕ-divergence estimates constructed by exchangeably weighting sample is introduced. Asymptotic properties of these generalized bootstrapped ϕ-divergence estimates are obtained, by means of the empirical process theory, which are applied to construct the bootstrap confidence set with asymptotically correct coverage probability. Some of practical problems are discussed, including, in particular, the choice of escort parameter, and several examples of divergences are investigated. Simulation results are provided to illustrate the finite sample performance of the proposed estimators.
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