Reliability of the cascade system for Stress-Strength System For the Inverse Lindley distribution

Authors

  • Mahdi Wahab Niemat Nasr Allah Economics and Administration College - Karbala University
  • Sana Ali Mohammed Aboudi Economics and Administration College - Karbala University

Keywords:

Stress and toughness of the inverse Lindley distribution

Abstract

The theoretical part of this thesis involves the derivation of the mathematical formula of the cascade system for more than one component that has the strength (x) and getting independent stress (  with an attenuation factor (k) which works to recertification the path of this system and make it works in right way. Also, this work reached the reliability function of the Cascade system  depending on the derivative mathematical formula of the inverse Lindley distribution. Moreover, it was concluded that the reliability of  is increasing by increase the value of the strength parameter, while is decreasing by increase the value of the stress parameter

Author Biography

Mahdi Wahab Niemat Nasr Allah, Economics and Administration College - Karbala University

استاذ مساعد دكتور 

References

- Basu, S., Singh, S. K., & Singh, U. (2017). Parameter estimation of inverse Lindley distribution for Type-I censored data. Computational Statistics, 32(1), 367-385.‏

- Devi, M.T., Maheswari, T.U.,& Swathi, N. (2016). Cascade System Reliability with Stress and Strength Follow Lindley Distribution.

- Doloi, C. , Borah, M., & Gogoi, J. (2013). " Cascade System with Pr(X < Y < Z) ". Journal of Informatics and Mathematical Sciences , Volume 5 Number 1, pp. 37–47.

- ‏ Gogoi, J. & Borah, M.(2012). Estimation of Reliability for Multicomponent Systems using Exponential , Gamma and Lindley Stress-Strength Distributions. Journal of Reliability and Statistical Studies; Vol. 5, Issue 1 ,p. 33-41 .

- Maheswari, T. U. & Swathi, N.(2013). "Cascade Reliability for Generalized Exponential Distribution". International Journal Of Computational Engineering Research (ijceronline.com) Vol. 3 Issue. 1, PP 132-136

- Pandit, S. N., & Sriwastav, G. L. (1975). "Studies in Cascade ReliabilityߞI". IEEE Transactions on Reliability, 24(1), 53-56.

Published

2024-10-09

How to Cite

مهدي وهاب نعمة نصر الله, & سناء علي محمد العبودي. (2024). Reliability of the cascade system for Stress-Strength System For the Inverse Lindley distribution . Iraqi Journal for Administrative Sciences, 15(61), 132–146. Retrieved from https://journals.uokerbala.edu.iq/index.php/ijas/article/view/2253