On propose un test pour l'égalité des répartitions des marginaux complètement inconnus quand la fonction de répartition bi-dimensionelle est donnée en termes d'une copule paramétrique avec le paramètre d'association inconnu.
A test for the equality of marginal distributions of bi-dimensional distribution functions represented by a parametric copula and completely unknown marginals is proposed.
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@article{CRMATH_2008__346_7-8_445_0, author = {Bagdonavi\v{c}ius, Vilijandas and Malov, Sergey and Nikulin, Mikhail}, title = {Testing of the homogeneity of marginal distributions in copula models}, journal = {Comptes Rendus. Math\'ematique}, pages = {445--450}, publisher = {Elsevier}, volume = {346}, number = {7-8}, year = {2008}, doi = {10.1016/j.crma.2008.02.022}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2008.02.022/} }
TY - JOUR AU - Bagdonavičius, Vilijandas AU - Malov, Sergey AU - Nikulin, Mikhail TI - Testing of the homogeneity of marginal distributions in copula models JO - Comptes Rendus. Mathématique PY - 2008 SP - 445 EP - 450 VL - 346 IS - 7-8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.02.022/ DO - 10.1016/j.crma.2008.02.022 LA - en ID - CRMATH_2008__346_7-8_445_0 ER -
%0 Journal Article %A Bagdonavičius, Vilijandas %A Malov, Sergey %A Nikulin, Mikhail %T Testing of the homogeneity of marginal distributions in copula models %J Comptes Rendus. Mathématique %D 2008 %P 445-450 %V 346 %N 7-8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.02.022/ %R 10.1016/j.crma.2008.02.022 %G en %F CRMATH_2008__346_7-8_445_0
Bagdonavičius, Vilijandas; Malov, Sergey; Nikulin, Mikhail. Testing of the homogeneity of marginal distributions in copula models. Comptes Rendus. Mathématique, Tome 346 (2008) no. 7-8, pp. 445-450. doi : 10.1016/j.crma.2008.02.022. http://www.numdam.org/articles/10.1016/j.crma.2008.02.022/
[1] M. A test for the equality of marginal distributions, C. R. Acad. Sci. Paris, Ser. I, Volume 344 (2007), pp. 509-514
[2] A. Berred, S.V. Malov, Semiparametric estimation in copulas with the same marginals, Comm. Statist. Theory Methods (2007), in press
[3] A test of the equality of survival distributions based on paired observations from conditionally exponential distributions, IEEE Trans. Reliability, Volume 34 (1985), pp. 342-346
[4] Multivariate generalizations of the proportional hazards model, J. Roy. Statist. Soc. Ser. A, Volume 148 (1985) no. 2, pp. 82-117
[5] A semiparametric estimation procedure for dependence parameters in multivariate families of distributions, Biometrika, Volume 82 (1985), pp. 543-552
[6] P. Georges, A.-P. Lamy, E. Nicolas, G. Quibel, T. Roncalli, Multivariate survival modelling: a unified approach with copulas Groupe de Recherch Operationelle, Crédit Lyonnaise, 2001
[7] A Guide to Chi-Squared Testing, John Wiley and Sons, New York, 1996
[8] A paired-data analysis for a lifetime distribution, Amer. Statist., Volume 54 (2000), pp. 252-256
[9] A power analysis of tests for paired lifetime data, Lifetime Data Anal., Volume 11 (2005), pp. 233-243
[10] Inference on the association parameter in copula models for bivariate survival data, Biometrika, Volume 51 (1995), pp. 1384-1399
[11] Fonctions de répartition à n dimensions et leurs marges, Publ. Inst. Statist., Paris, Volume 8 (1959), pp. 229-231
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