Comptes Rendus
Statistics/Probability Theory
Chi-squared tests for general composite hypotheses from censored samples
Comptes Rendus. Mathématique, Volume 349 (2011) no. 3-4, pp. 219-223.

We give chi-squared goodness-of-fit tests for parametric models including various regression models such as accelerated failure time, proportional hazards, generalized proportional hazards, frailty models, transformation models, models with cross-effects of survival functions. Choice of random grouping intervals as data functions is considered.

On propose des tests d'ajustement du type chi carré pour des modèles paramétriques y compris les modèles de la vie accélerée, de Cox, de risques proportionnels généralisés, de transformations et d'autres. Le choix de limites des intervales de groupement comme fonctions des données est considéré.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2011.01.007
Vilijandas Bagdonavičius 1; Mikhail Nikulin 2

1 University of Vilnius, 24, Naugarduko, 03225 Vilnius, Lithuania
2 Université Victor-Segalen, 33000 Bordeaux, France
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Vilijandas Bagdonavičius; Mikhail Nikulin. Chi-squared tests for general composite hypotheses from censored samples. Comptes Rendus. Mathématique, Volume 349 (2011) no. 3-4, pp. 219-223. doi : 10.1016/j.crma.2011.01.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.01.007/

[1] O. Aalen Nonparametric inference for the family of counting processes, Ann. Statist., Volume 6 (1978), pp. 701-726

[2] M.G. Akritas Pearson-type goodness-of-fit tests: the univariate case, J. Amer. Statist. Assoc., Volume 83 (1988), pp. 222-230

[3] M.G. Akritas; A.F. Torbeyns Pearson-type goodness-of-fit tests for regression, Canad. J. Statist., Volume 25 (1997), pp. 359-374

[4] P.K. Andersen; O. Borgan; R.D. Gill; N. Keiding Statistical Models Based on Counting Processes, Springer-Verlag, New York, 1993

[5] V. Bagdonavičius Testing the hyphothesis of the additive accumulation of damages, Probab. Theory Appl., Volume 23 (1978), pp. 403-408

[6] V. Bagdonavičius; M. Nikulin Accelerated Life Models, Chapman and Hall/CRC, Boca Raton, 2002

[7] P. Billingsley Convergence of Probability Measures, Wiley, New York, 1968

[8] R.J. Gray; D.A. Pierce Goodness of fit tests for censored survival data, Ann. Statist., Volume 13 (1985), pp. 552-563

[9] P. Greenwood; M.S. Nikulin A Guide to Chi-squared Testing, Wiley, New York, 1996

[10] M.G. Habib; D.R. Thomas Chi-squared goodness-of-fit tests for randomly censored data, Ann. Statist., Volume 14 (1986), pp. 759-765

[11] N.L. Hjort Goodness of fit tests in models for life history data based on cumulative hazard rates, Ann. Statist., Volume 18 (1990), pp. 1221-1258

[12] M. Hollander; E. Peña Chi-square goodness-of-fit test for randomly censored data, JASA, Volume 417 (1992), pp. 458-463

[13] H. Koul Tests of goodness-of-fit in linear regression, Colloq. Math. Soc. János Bolyai, Volume 45 (1984), pp. 279-315

[14] L. LeCam; C. Mahan; A. Singh An extension of a theorem of H. Chernoff and E.L. Lehmann, Recent Advances in Statistics, Academic Press, Orlando, 1983, pp. 303-332

[15] R.M. Loynes The empirical distribution function of residuals from generalized regression, Ann. Statist., Volume 8 (1980), pp. 285-298

[16] L.A. Mukantseva Testing normality in one-dimensional and multi-dimensional linear regression, Theory Probab. Appl., Volume 22 (1977), pp. 591-602

[17] M.S. Nikulin Chi-square test for continuous distribution with shift and scale parameters, Theory Probab. Appl., Volume 19 (1973), pp. 559-568

[18] D. Pierce; K. Kopecky Testing goodness of fit for the distribution of errors in regression models, Biometrika, Volume 66 (1979)

[19] K.C. Rao; D.S. Robson A chi-square statistic for goodness-of-fit tests within the exponential family, Comm. Statist., Volume 3 (1974), pp. 1139-1153

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