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  • 标题:Asymptotic behavior of the Laplacian quasi-maximum likelihood estimator of affine causal processes
  • 本地全文:下载
  • 作者:Jean-Marc Bardet ; Yakoub Boularouk ; Khedidja Djaballah
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2017
  • 卷号:11
  • 期号:1
  • 页码:452-479
  • DOI:10.1214/17-EJS1241
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We prove the consistency and asymptotic normality of the Laplacian Quasi-Maximum Likelihood Estimator (QMLE) for a general class of causal time series including ARMA, AR($\infty$), GARCH, ARCH($\infty$), ARMA-GARCH, APARCH, ARMA-APARCH,..., processes. We notably exhibit the advantages (moment order and robustness) of this estimator compared to the classical Gaussian QMLE. Numerical simulations confirms the accuracy of this estimator.
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