Work

Quantifying stochastic dependence of marginal lifetimes of two-component load-sharing parallel systems

Year: 2026

Type: article

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.

Source: Probability in the Engineering and Informational Sciences

DOI: 10.1017/s0269964825100168

Authors: Chen Li, Xiaohu Li

Institutions: Tianjin University of Commerce, Stevens Institute of Technology

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: National Natural Science Foundation of China