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

Mehmet Yılmaz; Muhammet Bekçi; Birol Topçu

doi:10.1501/Commua1_0000000791

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

Year 2017, Volume: 66 Issue: 1, 213 - 228, 01.02.2017

Mehmet Yılmaz Muhammet Bekçi Birol Topçu

https://doi.org/10.1501/Commua1_0000000791

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

Switching system, Farlie-Gumbel-Morgenstern distribution, redundant system, hazard rate

References

Everitt, B.S., and Hand, D.J. (1981). Finite Mixture Distributions, Chapman and Hall, Lon- don.
Gentle, J.E. (2004). Random Number Generation and Monte Carlo Methods (Statistics and Computing) 2nd Edition, Springer.
Gumbel, E. J. (1960). Bivariate exponential distributions, Journal of American Statistical Association, 55, pp. 698-707.
Lai, C. D., and Xie, M. (2006). Stochastic ageing and dependence for reliability. Springer Science & Business Media.
Morgenstern, D. (1956). Einfache Beispiele zweidimensionaler Verteilungen, Mitteilungsblatt fuÈr Mathematische Statistik, 8, pp. 234-235.
Shaked, M., and Shanthikumar, J. G. (2007). Stochastic orders. Springer Science & Business Media.
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.
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.

Year 2017, Volume: 66 Issue: 1, 213 - 228, 01.02.2017

Mehmet Yılmaz Muhammet Bekçi Birol Topçu

https://doi.org/10.1501/Commua1_0000000791

Abstract

References

Everitt, B.S., and Hand, D.J. (1981). Finite Mixture Distributions, Chapman and Hall, Lon- don.
Gentle, J.E. (2004). Random Number Generation and Monte Carlo Methods (Statistics and Computing) 2nd Edition, Springer.
Gumbel, E. J. (1960). Bivariate exponential distributions, Journal of American Statistical Association, 55, pp. 698-707.
Lai, C. D., and Xie, M. (2006). Stochastic ageing and dependence for reliability. Springer Science & Business Media.
Morgenstern, D. (1956). Einfache Beispiele zweidimensionaler Verteilungen, Mitteilungsblatt fuÈr Mathematische Statistik, 8, pp. 234-235.
Shaked, M., and Shanthikumar, J. G. (2007). Stochastic orders. Springer Science & Business Media.
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.
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.

There are 8 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Mehmet Yılmaz This is me Muhammet Bekçi This is me Birol Topçu This is me
Publication Date	February 1, 2017
Published in Issue	Year 2017 Volume: 66 Issue: 1

Cite

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	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. February 2017;66(1):213-228. doi:10.1501/Commua1_0000000791
Chicago	Yılmaz, Mehmet, Muhammet Bekçi, and Birol Topçu. “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, no. 1 (February 2017): 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	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, 2017, doi: 10.1501/Commua1_0000000791.
ISNAD	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 66/1 (February 2017), 213-228. https://doi.org/10.1501/Commua1_0000000791.
JAMA	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, 2017, pp. 213-28, doi:10.1501/Commua1_0000000791.
Vancouver	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):213-28.