SOME RESULTS ON GENERAL INACTIVITY TIME OF (N-K+1)-OUT-OF-N SYSTEMS WITH DEPENDENT COMPONENTS

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HASHEMI BOSRA SHAHROKH; SALEHI EBRAHIM

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2017 | Volume:11 | Issue:1 Page(s): 175-196

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Title

SOME RESULTS ON GENERAL INACTIVITY TIME OF (N-K+1)-OUT-OF-N SYSTEMS WITH DEPENDENT COMPONENTS

Author(s)

HASHEMI BOSRA SHAHROKH | SALEHI EBRAHIM | Issue Writer Certificate

Keywords

MEAN INACTIVITY TIMEQ1

REVERSED HAZARD RATEQ1

ORDER STATISTICSQ2

COPULA FUNCTIONQ2

STOCHASTIC ORDERSQ1

RELIABILITYQ1

Abstract

The (n-k+1)-out-of-n systems are important types of coherent systems and have many applications in various areas of engineering. In this paper, the general inactivity time of failed components of (n-k+1)-out-of-n system is studied when the system fails at time t>0. First we consider a parallel system including two exchangeable components and then using Farlie-Gumbel-Morgenstern copula, investigate the behavior of MEAN INACTIVITY TIME of failed components of the system. In the next part, (n-k+1)-out-of-n systems with exchangeable components are considered and then, some stochastic ordering properties of the general inactivity time of the systems are presented based on one sample or two samples.

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APA: Copy

HASHEMI BOSRA, SHAHROKH, & SALEHI, EBRAHIM. (2017). SOME RESULTS ON GENERAL INACTIVITY TIME OF (N-K+1)-OUT-OF-N SYSTEMS WITH DEPENDENT COMPONENTS. JOURNAL OF STATISTICAL SCIENCES, 11(1 ), 175-196. SID. https://sid.ir/paper/124085/en

Vancouver: Copy

HASHEMI BOSRA SHAHROKH, SALEHI EBRAHIM. SOME RESULTS ON GENERAL INACTIVITY TIME OF (N-K+1)-OUT-OF-N SYSTEMS WITH DEPENDENT COMPONENTS. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2017;11(1 ):175-196. Available from: https://sid.ir/paper/124085/en

IEEE: Copy

SHAHROKH HASHEMI BOSRA, and EBRAHIM SALEHI, “SOME RESULTS ON GENERAL INACTIVITY TIME OF (N-K+1)-OUT-OF-N SYSTEMS WITH DEPENDENT COMPONENTS,” JOURNAL OF STATISTICAL SCIENCES, vol. 11, no. 1 , pp. 175–196, 2017, [Online]. Available: https://sid.ir/paper/124085/en

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