Estimate Reliability Function of Inverse Lindley for Strength – Stress Models
DOI:
https://doi.org/10.29304/jqcm.2020.12.4.725Keywords:
Lindley distribution, Inverse Lindley distribution, Cascade, Stress -Strength Reliability, Maximum Likelihood Methods, Bayes methodAbstract
Cascade models are considered as a special case of standby redundancy of stress strength modes. Inverse Lindley distribution belong to an exponential family distribution and it can be written as invers of Lindley distribution
This study concerns some Inverse Lindley Distribution’s properties. cascade models with stress and strength variables that follow inverse Lindley distribution has been simulated. Reliability function of inverse Lindsley distribution for stress strength cascade models was estimated using both Likelihood and Bayes method. Compresence between these two methods has been made.
Downloads
References
- Al-Mutairi, D.K, Ghitany, M.E. & Kundu, D. (2013) “Inferences on the stress–strength reliability from Lindley distributions” Comm Stat Theory Methods, Vol. 42, NO.8, pp1443–1463.
- Ashour, S. K., Eltehiwy, M. A. (2015) “Exponentiated power Lindley distribution. Journal of advanced research” Vol.6, No.6, pp 895-905.
- Devi, M.T, Maheswari, T.U. & Swathi, N. (2016) “Cascade System Reliability with Stress and Strength Follow Lindley Distribution” International Journal of Engineering Research & Technology (IJERT); Vol. 5; No. 9, pp 708-714.
- Ghitany, M.E. Atieh, B. & Nadarajah, S. (2008) “Lindley distribution and its application” Mathematics and Computers in Simulation, Vol. 78, pp493–506.
- Guure, C.B. Ibrahim, N.A., Adam, M.B. Bosomprah, S., Mohammed, A. (2014) “Bayesian parameter and reliability estimate of Weibull failure time distribution” Bull. Malays. Math. Sci. Soc. (2) 37(3), 611–632 (2014).
- Kanaparhi, R. Palakurthi, J. Narayana, L. & Sanka ,G.D. (2019)” Cascade and System Reliability for the New Rayleigh-Pareto Distribution” International Journal of Science and Research (IJSR); Vol.8; Issue;2;pp 1864-1867.
- Sharma, V.K. Singh, S.K. Singh, U. & Agiwal, V. (2014) “The inverse Lindley distribution: a stress-strength reliability model with application to head and neck cancer data” Journal 0f Industrial and Production Engineering; Vol.32; No.3; pp.162-173.
- Sharma, V.K., Singh, S.K., Singh, U. (2017) “Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data” Commun. Stat. Appl. Methods, vol. 24, No. 3, pp 193–209.
- Sundar, T.S (2012) “Case Study of Cascade Reliability with Weibull Distribution” International Journal of Engineering and Innovative Technology, Vol. 1, No. 6, 2012, pp. 103-110.
- Uma Maheswari, T.S. & Swathi, N. (2013) "“Cascade Reliability for Generalized Exponential Distribution” International Journal of Computational Engineering Research (ijceronline.com) Vol. 3; No. 1; pp. 132-136.
- Uma Maheswari, T.S. & Swathi, N. (2013) “Cascade Reliability of Stress-Strength system when Strength follows mixed Exponential distribution” IOSR Journal of Mathematics (IOSR-JM); Vol.4; No.5; pp 27-31