Statistical Models in Reliability Theory

Mikhail Nikulin (1) , Alexandre Antonov

1 IMB - Institut de Mathématiques de Bordeaux

Recent statistical models used in reliability theory and the survival analysis are exposed. In particular, the introduction in the accelerated life and degradation models is done.

Mots clés: statistical models; degradation models; accelerated life models; redundant system; statistical estimation; non-parametric estimation; testing hypotheses; chi-squared tests; covariates; aging; fatigue

Domaines: Statistiques [math.ST]; Théorie [stat.TH]; Applications [stat.AP]; Calcul [stat.CO]

Mikhail Nikulin, Alexandre Antonov. Statistical Models in Reliability Theory. Abris/ Ecole Supérieure-Vyshaya Shkola, 390 p., 2012, 978-5-4372-009-4. ⟨hal-00782913⟩