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.
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.
Accepted:
Published online:
Issa Cherif Geraldo 1, 2; Assi N'Guessan 2; Kossi Essona Gneyou 1, 3
@article{CRMATH_2015__353_12_1147_0, author = {Issa Cherif Geraldo and Assi N'Guessan and Kossi Essona Gneyou}, title = {A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling}, journal = {Comptes Rendus. Math\'ematique}, pages = {1147--1152}, publisher = {Elsevier}, volume = {353}, number = {12}, year = {2015}, doi = {10.1016/j.crma.2015.09.025}, language = {en}, }
TY - JOUR AU - Issa Cherif Geraldo AU - Assi N'Guessan AU - Kossi Essona Gneyou TI - A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling JO - Comptes Rendus. Mathématique PY - 2015 SP - 1147 EP - 1152 VL - 353 IS - 12 PB - Elsevier DO - 10.1016/j.crma.2015.09.025 LA - en ID - CRMATH_2015__353_12_1147_0 ER -
%0 Journal Article %A Issa Cherif Geraldo %A Assi N'Guessan %A Kossi Essona Gneyou %T A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling %J Comptes Rendus. Mathématique %D 2015 %P 1147-1152 %V 353 %N 12 %I Elsevier %R 10.1016/j.crma.2015.09.025 %G en %F CRMATH_2015__353_12_1147_0
Issa Cherif Geraldo; Assi N'Guessan; Kossi Essona Gneyou. A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling. Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1147-1152. doi : 10.1016/j.crma.2015.09.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.025/
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