Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components

Stochastic Orderings of the Idle time of Inactive Standby Systems

“…have been studied during the past decades (see, for instance, Bayramoglu and Ozkut [3], Zhang and Balakrishnan [24], Navarro et al [17], Kayid et al [10], Navarro and Calì [18], Salehi and Tavangar [20], Toomaj and Di Crescenzo [22], Amini-Seresht et al [2], Guo et al [7] and Kayid and Shrahili [11]).…”

On inactivity times of failed components of coherent system under double monitoring

“…For instance, Zhao et al [43] investigated stochastic monotone properties of the inactivity time on 𝑘-out-of-𝑛 systems with the independent and nonidentically distribution. Interested readers may refer to Navarro et al [34], Li and Lu [23], Kayid and Ahmad [20], Asadi [3], Khaledi and Shaked [21], Li and Zhao [25], Li and Zhang [24], Goliforushani and Asadi [16], Ding et al [13], Balakrishnan and Zhao [4], Gupta et al [19], Navarro [31], Salehi and Tavangar [37], and Amini-Seresht et al [1]. Besides, the inactivity times of components in the coherent system are also an important topic in many practical scenarios.…”

The Residual Lifetime of Surviving Components of Coherent System under Periodical Inspections

“…In the past decades, a lot of scholars have shown extreme interest in investigating the lifetimes of a coherent system or the components of a coherent system. There have been many articles regarding the residual lifetime and past lifetime of coherent systems in the literature; one can refer to [6][7][8][9][10][11][12][13][14][15]. However, there are few results in the literature about the residual lifetime and past lifetime of components in a coherent system.…”