Quantifying stochastic dependence of marginal lifetimes of two-component load-sharing parallel systems
Abstract
Abstract System components usually attain marginal lifetimes with stochastic dependence in the context of load-sharing reliability structures. This study deals with the load-sharing parallel systems of two components. We prove that two marginal lifetimes are positively quadrant dependent when component lifetimes have continuous probability distributions, and such a stochastic dependence is upgraded to the total positive of order 2 in the setting of component lifetimes having an exponential distribution. In addition, we discuss how these findings shed light on related results for the load-sharing Ross model, the conditional residual lifetime, and the conditional inactivity time.
Fields of Study & Subjects
Statistical Distribution Estimation and Applications
Reliability and Maintenance Optimization
Power System Reliability and Maintenance
Publication details
- Journal / source
- Probability in the Engineering and Informational Sciences
- Publisher
- Cambridge University Press (CUP)
- Volume
- 40
- Issue
- 3
- Pages
- 315–329
- Publication date
- 13 January 2026
- Language
- EN