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Comptes Rendus Mathématique
Volume 344, n° 8
pages 509-514 (avril 2007)
Doi : 10.1016/j.crma.2007.03.001
Received : 21 Mars 2006 ;  accepted : 14 February 2007
A test for the equality of marginal distributions
Un test pour lʼégalité des répartitions des marginales
 

Vilijandas Bagdonavičius a , Ruta Levuliene a, Mikhail Nikulin b
a University of Vilnius, 24, Naugarduko, 01513 Vilnius, Lithuania 
b Université Victor-Segalen Bordeaux 2, BP 26, 146, rue Léo-Saignat, 33076 Bordeaux cedex, France 

Abstract

We present a test for the equality of marginals of bi-dimensional distribution functions under censoring. The asymptotic power of the test under approaching alternatives and the simulation analysis for finite samples are done. The test is more powerful than classical tests in situations where the marginals differ in shape parameters. To cite this article: V. Bagdonavičius et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

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

On propose un test pour lʼégalité des répartitions des marginales pour des données complètes ou censurées à droite. On obtient une estimation de la puissance asymptotique pour des alternatives approchées. On étudie par simulation des propriétés du test pour des échantillons finis. Le test est plus puissant que les tests classiques quand les marginales diffèrent en paramètre de forme. Pour citer cet article : V. Bagdonavičius et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

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


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