On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components

Sajadi, Farkhondeh Alsadat; Poursaeed, Mohammad Hossein; Goli, Sareh

doi:10.29252/jirss.19.1.69

On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components

Authors

Farkhondeh Alsadat Sajadi ¹

Mohammad Hossein Poursaeed ²

Sareh Goli ³

¹ Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran.

² Department of Statistics, Lorestan University, Khoramabad, Iran.

³ Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.

10.29252/jirss.19.1.69

Abstract

In this paper, we study an (n-k+1)-out-of-n system by adopting their components to be statistically independent though nonidentically distributed. By assuming that at least m components at a fixed time have failed while the system is still working, we obtain the mixture representation of survival function for a quantity called the conditional inactivity time of failed components in the system. Moreover, this quantity for (n-k+1)-out-of-n system, in one sample with respect to k and m and in two samples, are stochastically compared.

Keywords

Conditional Inactivity Time

Nonidentical Components

Residual Lifetime

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