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26 April 2024
 
  » arxiv » math.ST/0412268

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M-estimation of linear models with dependent errors
Wei Biao Wu ;
Date 14 Dec 2004
Subject Statistics; Probability MSC-class: 62J05 | math.ST math.PR
AbstractWe study the asymptotic behavior of M-estimates of regression parameters in multiple linear models where errors are dependent random variables. A Bahadur representation of the M-estimates is derived and a central limit theorem is established. The results are applied to linear models with errors being short-range dependent linear processes, heavy-tailed linear processes and some widely used nonlinear time series.
Source arXiv, math.ST/0412268
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