Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system

Volume: 66 Number: 1 February 1, 2017
  • Mehmet Yılmaz
  • Muhammet Bekçi
  • Birol Topçu
EN

Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system

Abstract

In this work, we consider a system with switching towards tostandby redundant system composed of two dependent components. Marginaldistributions of component lifetimes are exponential and joint distribution belongs to Farlie-Gumbel-Morgenstern family. We examine reliability propertiesof switching system such as shape of hazard rate function, mean residual lifetime and some stochastic orders under determined circumstances on parameterspaces

Keywords

References

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  5. Morgenstern, D. (1956). Einfache Beispiele zweidimensionaler Verteilungen, Mitteilungsblatt fuÈr Mathematische Statistik, 8, pp. 234-235.
  6. Shaked, M., and Shanthikumar, J. G. (2007). Stochastic orders. Springer Science & Business Media.
  7. Shanker, R., Sharma, S., Shanker, R. (2013). A Two-Parameter Lindley Distribution for Mod- eling Waiting and Survival Times Data, Applied Mathematics, 4, 363-368.
  8. Sharma, V.K., Singh, S.K., Singh, U., Agiwal, V. (2015). The inverse Lindley distribution: a stress-strength reliability model with application to head and neck cancer data, Journal of Industrial and Production Engineering, 32:3, 162-173, DOI: 10.1080/21681015.2015.1025901 Current address : Ankara University, Faculty of Sciences, Department of Statistics , Ankara, Turkey.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Mehmet Yılmaz This is me

Muhammet Bekçi This is me

Birol Topçu This is me

Publication Date

February 1, 2017

Submission Date

-

Acceptance Date

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Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Yılmaz, M., Bekçi, M., & Topçu, B. (2017). Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 213-228. https://doi.org/10.1501/Commua1_0000000791
AMA
1.Yılmaz M, Bekçi M, Topçu B. Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):213-228. doi:10.1501/Commua1_0000000791
Chicago
Yılmaz, Mehmet, Muhammet Bekçi, and Birol Topçu. 2017. “Reliability Properties of the System Constructed by Switching from One Component to Two-Dependent Unit Redundant Standby System”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 213-28. https://doi.org/10.1501/Commua1_0000000791.
EndNote
Yılmaz M, Bekçi M, Topçu B (February 1, 2017) Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 213–228.
IEEE
[1]M. Yılmaz, M. Bekçi, and B. Topçu, “Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 213–228, Feb. 2017, doi: 10.1501/Commua1_0000000791.
ISNAD
Yılmaz, Mehmet - Bekçi, Muhammet - Topçu, Birol. “Reliability Properties of the System Constructed by Switching from One Component to Two-Dependent Unit Redundant Standby System”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 213-228. https://doi.org/10.1501/Commua1_0000000791.
JAMA
1.Yılmaz M, Bekçi M, Topçu B. Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:213–228.
MLA
Yılmaz, Mehmet, et al. “Reliability Properties of the System Constructed by Switching from One Component to Two-Dependent Unit Redundant Standby System”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 213-28, doi:10.1501/Commua1_0000000791.
Vancouver
1.Mehmet Yılmaz, Muhammet Bekçi, Birol Topçu. Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):213-28. doi:10.1501/Commua1_0000000791

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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