On the quantile process under progressive censoring

Sergio Alvarez-Andrade

doi:10.1016/j.crma.2009.01.019

Statistics

On the quantile process under progressive censoring
[Sur le processus quantile sous censure progressive]

Présenté par : Paul Malliavin

Sergio Alvarez-Andrade ¹

¹ Laboratoire de mathématiques appliquées, Université de technologie de Compiègne, B.P. 529, 60205 Compiègne cedex, France

Comptes Rendus. Mathématique, Volume 347 (2009) no. 5-6, pp. 305-308.

Résumé
Abstract

Nous travaillons sur une représentation asymptotique presque-sûre du processus quantile sous censure progressive du type-II. Nous obtenons pour cette représentation une vitesse de convergence de type loi du logarithme itéré (LIL).

This work deals with an asymptotic almost-sure representation of the quantile process under type-II progressive censoring. A convergence rate of the law-of-the-iterated-logarithm type is obtained for this representation.

Reçu le : 2008-07-04
Accepté le : 2009-01-22
Publié le : 2009-02-14

DOI : 10.1016/j.crma.2009.01.019

Affiliations des auteurs :

Sergio Alvarez-Andrade ¹

¹ Laboratoire de mathématiques appliquées, Université de technologie de Compiègne, B.P. 529, 60205 Compiègne cedex, France

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     title = {On the quantile process under progressive censoring},
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     number = {5-6},
     year = {2009},
     doi = {10.1016/j.crma.2009.01.019},
     language = {en},
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Sergio Alvarez-Andrade. On the quantile process under progressive censoring. Comptes Rendus. Mathématique, Volume 347 (2009) no. 5-6, pp. 305-308. doi : 10.1016/j.crma.2009.01.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.01.019/

Bibliographie
Cité par

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[8] D. Li; R.J. Tomkins The law of the iterated logarithm for weighted sums of independent random variables, J. Theoret. Probab., Volume 16 (2003), pp. 519-542

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