Comptes Rendus
Non-parametric estimation from simultaneous degradation and failure time data
Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 183-188.

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.

On considère l'inférence statistique pour des données qui répresentent des mesures de dégradation ainsi que des moments de défaillance (pannes) de plusieurs modalités. Les modèles tiennent compte de l'influence du niveau de dégradation sur les intensités des évenements traumatiques. Des estimateurs non-paramétriques de plusieurs caractéristiques de fiabilité sont proposés. Des théorèmes sur les propriétés asymptotiques des estimateurs sont proposés.

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DOI: 10.1016/S1631-073X(02)02451-2
Vilijandas Bagdonavičius 1, 2; Algis Bikelis 1; Vytautas Kazakevičius 1; Mikhail Nikulin 2

1 University of Vilnius, 24 Naugarduko, Vilnius, Lithuania
2 Statistique Mathématique, Université Victor Segalen, 33076 Bordeaux, France
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     title = {Non-parametric estimation from simultaneous degradation and failure time data},
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Vilijandas Bagdonavičius; Algis Bikelis; Vytautas Kazakevičius; Mikhail Nikulin. Non-parametric estimation from simultaneous degradation and failure time data. Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 183-188. doi : 10.1016/S1631-073X(02)02451-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02451-2/

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

[2] V. Bagdonavičius; M. Nikulin Estimation in degradation models with explanatory variables, Lifetime Data Anal., Volume 7 (2001), pp. 85-103

[3] W.Q. Meeker; L.A. Escobar Statistical Methods for Reliability Data, Wiley, New York, 1998

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