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文章基本信息

  • 标题:Imputation methods for quantile estimation under missing at random
  • 作者:Shu Yang ; Jae-Kwang Kim ; Dong Wan Shin
  • 期刊名称:Statistics and Its Interface
  • 印刷版ISSN:1938-7989
  • 电子版ISSN:1938-7997
  • 出版年度:2013
  • 卷号:6
  • 期号:3
  • 页码:369-377
  • DOI:10.4310/SII.2013.v6.n3.a7
  • 出版社:International Press
  • 摘要:Imputation is frequently used to handle missing data for which multiple imputation is a popular technique. We propose a fractional hot deck imputation which produces a valid variance estimator for quantiles. In the proposed method, the imputed values are chosen from the set of respondents and are assigned with proper fractional weights that use a density function for the working model. In addition, we consider a nonparametric fractional imputation method based on nonparametric kernel regression, avoiding a parametric distribution assumption and thus giving more robustness. The resulting estimator can be called nonparametric fractionally imputation estimator. Valid variance estimation is also discussed. A limited simulation study compares the proposed methods favorably with other existing methods.
  • 关键词:Bahadur representation; estimating equation; fractional hot deck imputation; jackknife variance estimator; linearization method; nonparametric imputation; Woodruff variance
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