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Asymptotic Behavior for the Extreme Values of a Linear Regression Model

Aliou Diop and Dominique Guegan ()
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Aliou Diop: IDHE - Institutions et Dynamiques Historiques de l'Economie - ENS Cachan - École normale supérieure - Cachan - UP1 - Université Paris 1 Panthéon-Sorbonne - UP8 - Université Paris 8 Vincennes-Saint-Denis - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique
Dominique Guegan: IDHE - Institutions et Dynamiques Historiques de l'Economie - ENS Cachan - École normale supérieure - Cachan - UP1 - Université Paris 1 Panthéon-Sorbonne - UP8 - Université Paris 8 Vincennes-Saint-Denis - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique

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Abstract: We consider a class of linear regression model with extreme distribution noise. We show by a mean of point process technique that the asymptotic distribution of the maximum is the same as the one of the max of the noise process, under specific conditions.

Keywords: Extreme value theory; Poisson random process; Point process; regression model.; regression model (search for similar items in EconPapers)
Date: 2004
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00188532
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Published in African Diaspora Journal of Mathematics, 2004, 15, pp.59 - 67

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