Proportional hazards regression under progressive Type-II censoring

S. Alvarez-Andrade (1) , N. Balakrishnan (2) , Laurent Bordes (3)

1 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne
2 McMaster University [Hamilton, Ontario]
3 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

This paper proposes an inferential method for the semiparametric proportional hazards model for progressively Type-II censored data. We establish martingale properties of counting processes based on progressively Type-II censored data that allow to derive the asymptotic behavior of estimators of the regression parameter, the conditional cumulative hazard rate functions, and the conditional reliability functions. A Monte Carlo study and an example are provided to illustrate the behavior of our estimators and to compare progressive Type-II censoring sampling plans with classical Type-II right censoring sampling plan. © 2008 The Institute of Statistical Mathematics, Tokyo.

Domaines: Probabilités [math.PR]

S. Alvarez-Andrade, N. Balakrishnan, Laurent Bordes. Proportional hazards regression under progressive Type-II censoring. Annals of the Institute of Statistical Mathematics, 2009, 61 (4), pp.887-903. ⟨10.1007/s10463-008-0170-8⟩. ⟨hal-00864798⟩