Reliability properties of the system constructed by switching from one component to two-dependent unit redundant standby system
Öz
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
Anahtar Kelimeler
Switching system Farlie-Gumbel-Morgenstern distribution redundant system hazard rate
Kaynakça
- 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.
Öz
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Şubat 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 66 Sayı: 1 |
Kaynak Göster
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
