Geodesic
Estimation of the parametric regression with a~pulse noise by discrete time observations
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 20-35

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The paper considers the problem of parametric estimation in a continuous time linear parametric regression model with a non-Gaussian Ornstein–Uhlenbeck process by discrete time observations. Improved estimates with smaller mean square risk as compared with the ordinary least square estimates are proposed for the unknown regression parameters. The asymptotic minimaxity of these estimates in the sense of the robust risk has been proved.
Keywords: non-Gaussian parametric regression, improved estimation, least square estimates, Ornstein–Uhlenbeck process, quadratic risk, minimaxity.
Mots-clés : pulse noise 
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     author = {V. V. Konev and E. A. Pchelintsev},
     title = {Estimation of the parametric regression with a~pulse noise by discrete time observations},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {20--35},
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}
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V. V. Konev; E. A. Pchelintsev. Estimation of the parametric regression with a~pulse noise by discrete time observations. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 20-35. http://geodesic.mathdoc.fr/item/VTGU_2012_1_a3/