Inference with progressively censored k-out-of-n system lifetime data
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M. Hermanns [1] ; E. Cramer [1]
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[1] Rheinisch-Westfälische Technische Hochschule Aachen University
Rheinisch-Westfälische Technische Hochschule Aachen University
Städteregion Aachen, Alemania
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- Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 27, Nº. 4, 2018, págs. 787-810
- Idioma: inglés
- DOI: 10.1007/s11749-017-0569-8
- Texto completo no disponible (Saber más ...)
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Resumen
A system with n independent components which works if and only if a least k of its n components work is called a k-out-of-n system. For exponentially distributed component lifetimes, we obtain point and interval estimators for the scale parameter of the component lifetime distribution of a k-out-of-n system when the system failure time is observed only. In particular, we prove that the maximum likelihood estimator (MLE) of the scale parameter based on progressively Type-II censored system lifetimes is unique. Further, we propose a fixed-point iteration procedure to compute the MLE for k-out-of-n systems data. In addition, we illustrate that the Newton–Raphson method does not converge for any initial value. Finally, exact confidence intervals for the scale parameter are constructed based on progressively Type-II censored system lifetimes.
