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
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
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 |
|---|---|
| Authors | |
| Publication Date | February 1, 2017 |
| DOI | https://doi.org/10.1501/Commua1_0000000791 |
| IZ | https://izlik.org/JA72DK34DP |
| Published in Issue | Year 2017 Volume: 66 Issue: 1 |
Cite
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
