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The Mean Residual Lifetime of (<i>n</i> － <i> k</i> + 1)-out-of-<i>n</i> Systems in Discrete Setting
Department of Statistics, Science and Research branch, Islamic Azad University, Tehran, Iran
- 1 Department of Statistics, Science and Research branch, Islamic Azad University, Tehran, Iran
Applied Mathematics·Volume 05 (2014)·Pages 466–477·Published 7 February 2014·DOI10.4236/am.2014.53046
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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(<i>n</i>?<i>k</i>+ 1)-out-of-<i>n</i>SystemsDiscrete LifetimeFailure RateReliability
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