Scopus
Estimation of parameters for a system equipped with protection block
Journal of Computational and Applied Mathematics · Nisan 2026
Makale Bilgileri
DergiJournal of Computational and Applied Mathematics
Yayın TarihiNisan 2026
Cilt / Sayfa476
Scopus ID2-s2.0-105017119546
Özet
This paper studies the problem of estimating unknown parameters involved in a system which is equipped with a protection block. The system has different failure rates depending on whether the protection block is present or not, as the protection block is modeled by its own lifetime distribution and contributes an additional failure component to the system. The model is analyzed under the assumption of exponentially distributed lifetimes, leading to the study of its distributional properties and the estimation problem for its unknown parameters. Closed-form expressions for the maximum likelihood estimators are obtained. Furthermore, theoretical expectations and variances of the estimators are derived. We also discuss the stress–strength reliability estimation problem and construct confidence intervals for the associated reliability measure. Numerical results are provided to demonstrate the implementation of the proposed methods.
Yazarlar (2)
1
Coşkun Kuş
2
Serkan Eryilmaz
Anahtar Kelimeler
Censoring
Exponential lifetimes
Maximum likelihood estimation
Protective component
Reliability analysis
Stress–strength reliability
Kurumlar
Atilim University
Ankara Turkey
Selçuk Üniversitesi
Selçuklu Turkey