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Mathematics   > Home   > Applied Mathematics: Deterministic and Stochastic   > Issue 1   > Article

Estimations and Optimal Tests in Some Parametric Models

Estimations et tests optimaux dans certains modèles paramétriques


Salim Bouzebda
Université de Technologie de Compiègne

Tewfik Lounis
Université de Technologie de Compiègne



Published on 23 August 2019   DOI : 10.21494/ISTE.OP.2019.0404

Abstract

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In the present paper, we introduce an efficient method for the estimation in the multidimensional case. The key idea is based on a good assessment of the error without using confidence intervals. The consistency of the proposed estimate is established. Consequently, we discuss the estimation in statistical tests corresponding to parametric context, and prove that this kind of estimators ensures the optimality of statistical tests. We partially extend the scope of our study to some processes. In order to examine the performance of our methodology, finite sample results are performed. This work completes and extends in nontrivial way the results obtained by Lounis (2017).

In the present paper, we introduce an efficient method for the estimation in the multidimensional case. The key idea is based on a good assessment of the error without using confidence intervals. The consistency of the proposed estimate is established. Consequently, we discuss the estimation in statistical tests corresponding to parametric context, and prove that this kind of estimators ensures the optimality of statistical tests. We partially extend the scope of our study to some processes. In order to examine the performance of our methodology, finite sample results are performed. This work completes and extends in nontrivial way the results obtained by Lounis (2017).

ARCH Models Contiguity Le Cam’s third lemma Local asymptotic normality Modified estimators Time series models

ARCH Models Contiguity Le Cam’s third lemma Local asymptotic normality Modified estimators Time series models