A joint model for linear degradation and competing failure data with partial renewals is proposed. Non-parametric estimation procedures for failure intensities and failure probabilities as functions of degradation level are given. Asymptotic properties of the estimators are investigated.
Nous proposons un modèle conjoint pour des données de dégradation linéaire à taux aléatoire et des défaillances à modalités multiples et compétitives, sous des hypothèses de renouvellement partiel. Les procédures d'estimation non-paramétrique pour les intensités et les probabilités de panne comme fonctions du niveau de dégradation sont données ce qui permet d'obtenir les propriétés asymptotiques des estimateurs.
Accepted:
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Vilijandas Bagdonavičius 1; Algimantas Bikelis 1; Vytautas Kazakevičius 1; Mikhail Nikulin 2, 3
@article{CRMATH_2006__342_1_63_0,
author = {Vilijandas Bagdonavi\v{c}ius and Algimantas Bikelis and Vytautas Kazakevi\v{c}ius and Mikhail Nikulin},
title = {Non-parametric estimation from simultaneous renewal{\textendash}failure{\textendash}degradation data with competing risks},
journal = {Comptes Rendus. Math\'ematique},
pages = {63--68},
publisher = {Elsevier},
volume = {342},
number = {1},
year = {2006},
doi = {10.1016/j.crma.2005.11.001},
language = {en},
}
TY - JOUR AU - Vilijandas Bagdonavičius AU - Algimantas Bikelis AU - Vytautas Kazakevičius AU - Mikhail Nikulin TI - Non-parametric estimation from simultaneous renewal–failure–degradation data with competing risks JO - Comptes Rendus. Mathématique PY - 2006 SP - 63 EP - 68 VL - 342 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2005.11.001 LA - en ID - CRMATH_2006__342_1_63_0 ER -
%0 Journal Article %A Vilijandas Bagdonavičius %A Algimantas Bikelis %A Vytautas Kazakevičius %A Mikhail Nikulin %T Non-parametric estimation from simultaneous renewal–failure–degradation data with competing risks %J Comptes Rendus. Mathématique %D 2006 %P 63-68 %V 342 %N 1 %I Elsevier %R 10.1016/j.crma.2005.11.001 %G en %F CRMATH_2006__342_1_63_0
Vilijandas Bagdonavičius; Algimantas Bikelis; Vytautas Kazakevičius; Mikhail Nikulin. Non-parametric estimation from simultaneous renewal–failure–degradation data with competing risks. Comptes Rendus. Mathématique, Volume 342 (2006) no. 1, pp. 63-68. doi : 10.1016/j.crma.2005.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.11.001/
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