The Mean Residual Lifetime of (n － k + 1)-out-of-n Systems in Discrete Setting

Maryam Torabi Siahboomi

Department of Statistics, Science and Research branch, Islamic Azad University, Tehran, Iran.

DOI: 10.4236/am.2014.53046                

Abstract

In real life, there are situations in which the lifetime of the components of a technical system (and hence the lifetime of the system) is discrete. In this paper, we study the residual life, a (n － k + 1)-out-of-n system under the assumptions that the components of the system are independent identically distributed with common discrete distribution function F. We define the mean residual lifetime (MRL) of the system and under different scenarios investigate several aging and stochastic properties of MRL.

Keywords

(n ? k + 1)-out-of-n Systems; Discrete Lifetime; Failure Rate; Reliability

Conflicts of Interest

The authors declare no conflicts of interest.

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