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Comptes Rendus Mathématique
Volume 353, n° 12
pages 1147-1152 (décembre 2015)
Doi : 10.1016/j.crma.2015.09.025
Received : 1 May 2015 ;  accepted : 28 September 2015
A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling
À propos de la consistance forte d'un estimateur du maximum de vraisemblance sous contraintes utilisé dans la modélisation des données d'accidents
 

Issa Cherif Geraldo a, b , Assi N'Guessan b , Kossi Essona Gneyou a, c
a Département de mathématiques et informatique, Université catholique de l'Afrique de l'Ouest, Unité universitaire du Togo (UCAO–UUT), 01 B.P. 1502 Lomé 01, Lomé, Togo 
b Laboratoire Paul-Painlevé, UMR CNRS 8524, Université de Lille-1, 59655 Villeneuve d'Ascq cedex, France 
c Département de mathématiques, Faculté des sciences, Université de Lomé, B.P. 1515 Lomé, Togo 

Abstract

In this note, we consider the Maximum Likelihood Estimator (MLE) of the vector parameter   of dimension R ( ) used in crash-data modeling where   and ϕ belongs to the simplex of order  . We prove the strong consistency of this constrained estimator making capital out of the cyclic form between the components of the MLE.

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Résumé

Dans cette note, nous considérons l'estimateur du maximum de vraisemblance (EMV) du vecteur paramètre   de dimension R ( ) utilisé dans la modélisation des données d'accidents où   et ϕ appartient au simplexe d'ordre  . Nous démontrons la consistance forte de cet estimateur sous contraintes en exploitant la forme cyclique entre les composantes de cet estimateur.

The full text of this article is available in PDF format.


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