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Asymptotic properties of the MLE for the autoregressive process coefficients under stationary Gaussian noise

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 نشر من قبل Marina Kleptsyna
 تاريخ النشر 2013
  مجال البحث الاحصاء الرياضي
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In this paper we are interested in the Maximum Likelihood Estimator (MLE) of the vector parameter of an autoregressive process of order $p$ with regular stationary Gaussian noise. We exhibit the large sample asymptotical properties of the MLE under very mild conditions. Simulations are done for fractional Gaussian noise (fGn), autoregressive noise (AR(1)) and moving average noise (MA(1)).



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