Authors

• Ismihan Bairamov ¹
• Mahdi Tavangar ²

¹ Izmir University of Economics

² Department of Statistics, University of Isfahan, Isfahan, Iran.

Abstract

We consider a (n-􀀀k+1)-out-of-n system with exchangeablelifetimes of the components. The paper investigates the stochastic ordering properties of the residual lifetime of the system under condition that, at time t, at least (n 􀀀-r+1) components are alive. Some results are then extended to the case where the system has a coherent structure with exchangeable components.

Keywords

• Exchangeable random variables
• k-out-of-n system
• multivariate life distributions
• multivariate stochastic order
• multivariate survival function
• signatures