• Title of article

    Asymptotic properties for M-estimators in linear models with dependent random errors

  • Author/Authors

    Fan، نويسنده , , Jun and Yan، نويسنده , , Ailing and Xiu، نويسنده , , Naihua، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2014
  • Pages
    18
  • From page
    49
  • To page
    66
  • Abstract
    In this paper, we make use of the technique of martingales to establish the moderate deviations and strong Bahadur representations for M-estimators of the regression parameter in a linear model when the errors form a type of Markov chain. As an application, we obtain a law of the iterated logarithm for the estimators.
  • Keywords
    M-estimators , Linear model , Moderate deviations , Strong Bahadur representation , Law of the iterated logarithm
  • Journal title
    Journal of Statistical Planning and Inference
  • Serial Year
    2014
  • Journal title
    Journal of Statistical Planning and Inference
  • Record number

    2222610