Non-parametric estimation from simultaneous degradation and failure time data

The paper considers degradation and failure time models with multiple failure modes. Dependence of traumatic failure intensities on the degradation level are included into the models. Non-parametric estimators of various reliability characteristics are proposed. Theorems on simultaneous asymptotic distribution of random functions characterizing degradation and intensities of traumatic events are proposed. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.