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  • 标题:Goodness-of-fit testing the error distribution in multivariate indirect regression
  • 本地全文:下载
  • 作者:Justin Chown ; Nicolai Bissantz ; Holger Dette
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2019
  • 卷号:13
  • 期号:2
  • 页码:2658-2685
  • DOI:10.1214/19-EJS1591
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We propose a goodness-of-fit test for the distribution of errors from a multivariate indirect regression model, which we assume belongs to a location-scale family under the null hypothesis. The test statistic is based on the Khmaladze transformation of the empirical process of standardized residuals. This goodness-of-fit test is consistent at the root-$n$ rate of convergence, and the test can maintain power against local alternatives converging to the null at a root-$n$ rate.
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