Comptes Rendus
no. 7-8
Statistics/Probability Theory
Testing absence of hazard rates crossing
[Test pour l'absence de croisement]

Présenté par : Paul Deheuvels

Vilijandas Bagdonavičius1 ; Rūta Levulienė1 ; Mikhail Nikulin2
1 University of Vilnius, 24, Naugarduko, 03225 Vilnius, Lithuania
2 Université Victor-Segalen Bordeaux 2, 33076 Bordeaux cedex, France
Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 413-418.

Un modèle sémiparamétrique simple et flexible qui inclue des effets de croisement, d'éloignement, d'approchement, de proportionnalité et de convergence des fonctions de hasard est proposé. Des procédures d'estimation sémiparamétrique sont données. Un test pour l'absence de croisement est proposé.

A new flexible and simple semiparametric model, including the cases when hazard rates cross, go away, are proportional, approach or converge, is proposed. Semiparametric estimation procedures are given. A test for absence of hazard rates crossing is proposed.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.02.014
Vilijandas Bagdonavičius 1 ; Rūta Levulienė 1 ; Mikhail Nikulin 2

1 University of Vilnius, 24, Naugarduko, 03225 Vilnius, Lithuania
2 Université Victor-Segalen Bordeaux 2, 33076 Bordeaux cedex, France 
@article{CRMATH_2009__347_7-8_413_0,
     author = {Vilijandas Bagdonavi\v{c}ius and R\={u}ta Levulien\.{e} and Mikhail Nikulin},
     title = {Testing absence of hazard rates crossing},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {413--418},
     publisher = {Elsevier},
     volume = {347},
     number = {7-8},
     year = {2009},
     doi = {10.1016/j.crma.2009.02.014},
     language = {en},
}
TY  - JOUR
AU  - Vilijandas Bagdonavičius
AU  - Rūta Levulienė
AU  - Mikhail Nikulin
TI  - Testing absence of hazard rates crossing
JO  - Comptes Rendus. Mathématique
PY  - 2009
SP  - 413
EP  - 418
VL  - 347
IS  - 7-8
PB  - Elsevier
DO  - 10.1016/j.crma.2009.02.014
LA  - en
ID  - CRMATH_2009__347_7-8_413_0
ER  - 
%0 Journal Article
%A Vilijandas Bagdonavičius
%A Rūta Levulienė
%A Mikhail Nikulin
%T Testing absence of hazard rates crossing
%J Comptes Rendus. Mathématique
%D 2009
%P 413-418
%V 347
%N 7-8
%I Elsevier
%R 10.1016/j.crma.2009.02.014
%G en
%F CRMATH_2009__347_7-8_413_0
Vilijandas Bagdonavičius; Rūta Levulienė; Mikhail Nikulin. Testing absence of hazard rates crossing. Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 413-418. doi : 10.1016/j.crma.2009.02.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.02.014/

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

[2] V. Bagdonavičius; M. Nikulin Generalized proportional hazards model based on modified partial likelihood, Lifetime Data Analysis, Volume 5 (1999), pp. 329-350

[3] V. Bagdonavičius; M.A. Hafdi; M. Nikulin Analysis of survival data with cross-effects of survival functions, Biostatistics, Volume 5 (2004), pp. 415-425

[4] V. Bagdonavičius; R. Levuliene; M. Nikulin; O. Zdorova-Cheminade Tests for equality of survival distributions against non-location alternatives, Lifetime Data Analysis, Volume 10 (2004), pp. 445-460

[5] D. Dabrowska Estimation in a class of semiparametric transformation models, 2nd Lehmann Symposium – Optimality, IMS Lecture Notes – Monograph Series, vol. 49, 2006, pp. 131-169

[6] R. Henderson Discussion on the paper by Zeng and Lin, J. Roy. Statist. Soc. B, Volume 69 (2007), pp. 536-537

[7] F. Hsieh On heteroscedastic hazards regression models: theory and application, J. Roy. Statist. Soc. B (2001), pp. 63-79

[8] J.P. Klein; M.L. Moeschberger Survival Analysis, Springer, New York, 1997

[9] S.A. Murphy; A.W. van der Vaart On profile likelihood, J. Am. Statist. Assoc., Volume 95 (1985), pp. 449-485

[10] D.M. Stablein; I.A. Koutrouvelis A two sample test sensitive to crossing hazards in uncensored and singly censored data, Biometrics, Volume 41 (1985), pp. 643-652

[11] D. Zeng, D.Y. Lin, A general asymptotic theory for maximum likelihood estimation in semiparametric regression models with censored data, Technical report, University of North Carolina, Chapel Hill

[12] D. Zeng; D.Y. Lin Maximum likelihood estimation in semiparametric regression models with censored data, J. Roy. Statist. Soc. B, Volume 69 (2007), pp. 509-564

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Statistical analysis of survival and reliability data with multiple crossings of survival functions

Vilijandas Bagdonavičius; Mikhail Nikulin

C. R. Math (2005)

A test for the equality of marginal distributions

Vilijandas Bagdonavičius; Ruta Levuliene; Mikhail Nikulin

C. R. Math (2007)

Chi-squared tests for general composite hypotheses from censored samples

Vilijandas Bagdonavičius; Mikhail Nikulin

C. R. Math (2011)