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Average inactivity time model, associated orderings and reliability properties

Author

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  • Kayid, M.
  • Izadkhah, S.
  • Abouammoh, A.M.

Abstract

In this paper, we introduce and study a new model called ‘average inactivity time model’. This new model is specifically applicable to handle the heterogeneity of the time of the failure of a system in which some inactive items exist. We provide some bounds for the mean average inactivity time of a lifespan unit. In addition, we discuss some dependence structures between the average variable and the mixing variable in the model when original random variable possesses some aging behaviors. Based on the conception of the new model, we introduce and study a new stochastic order. Finally, to illustrate the concept of the model, some interesting reliability problems are reserved.

Suggested Citation

  • Kayid, M. & Izadkhah, S. & Abouammoh, A.M., 2018. "Average inactivity time model, associated orderings and reliability properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1389-1398.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1389-1398
    DOI: 10.1016/j.physa.2017.11.066
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    Cited by:

    1. Mansour Shrahili & Mohamed Kayid, 2023. "Stochastic Orderings of the Idle Time of Inactive Standby Systems," Mathematics, MDPI, vol. 11(20), pages 1-21, October.

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