Abstract
References
- [1] Z.W. Birnbaum, On a use of the Mann-Whitney statistic, Proc. Third Berkeley Symp. Math. Stat. Probab. 1, 13-17, 1956.
Reliability inferences in a 1-out-of-n:G multicomponent stress-strength system with unit gamma Gompertz-G0 components
Abstract
This paper considers reliability inferences in a system of stress-strength 1 outside of n:G when the strength systems belong to the gamma Gompertz unit distribution family. Stochastic comparisons are obtained between the survival distribution functions of this model. Additionally, some stochastic comparisons are carried out with majorized shape parameters of the unit gamma Gompertz distribution. The asymptotic and several bootstrap confidence intervals of the reliability of the stress strength are studied. In addition, the efficiency of the asymptotic and bootstrap confidence intervals is analyzed by simulation. A numerical example based on real-life data is displayed as an illustration.
Keywords
bootstrap confidence interval majorization maximum likelihood estimator maximum spacing estimation reliability stress-strength stochastic order 1-out-of n:G stress-strength system
References
- [1] Z.W. Birnbaum, On a use of the Mann-Whitney statistic, Proc. Third Berkeley Symp. Math. Stat. Probab. 1, 13-17, 1956.
Details
| Primary Language | English |
|---|---|
| Subjects | Probability Theory, Stochastic Analysis and Modelling |
| Journal Section | Statistics |
| Authors | |
| Early Pub Date | January 29, 2025 |
| Publication Date | |
| Submission Date | May 2, 2024 |
| Acceptance Date | January 13, 2025 |
| Published in Issue | Year 2025 Early Access |