Stress - Strength Reliability Estimation for Parallel Redundant System Based on Weibull-Ryleigh Distribution
DOI:
https://doi.org/10.32792/jeps.v13i2.319الملخص
Estimation for reliability of a parallel redundant system with independent stress and strength Weibull-
Ryleigh probability density functions is considered. Estimation of the reliability parameters was
conducted according to three methods, namely maximum likelihood, moments and percentiles methods.
Finally, the reliability estimate was calculated and the best method for estimation for each case was given
using the mean squared error criteria. It was found that the best estimation method is the percentiles
method.
المراجع
N. S. Karam, S. M. Yousif, and B. J. Tawfeeq, “Multicomponent Inverse Lomax Stress-Strength
Reliability,” Iraqi Journal of Science, pp. 72–80, May 2020, doi: 10.24996/ijs.2020.SI.1.10.
F. GülceCüran, “Estimation of stress-strength reliability of a parallel system with cold standby
redundancy at component level,” Journal, vol. 13, no. 2, pp. 74–87, 2021.
H. H. Hamad and N. S. Karam, “Estimating the Reliability Function of some Stress- Strength Models for
the Generalized Inverted Kumaraswamy Distribution,” Iraqi Journal of Science, pp. 240–251, Jan. 2021,
doi: 10.24996/ijs.2021.62.1.23.
S. A. Jabr and N. S. Karam, “Gompertz Fréchet stress-strength Reliability Estimation,” Iraqi Journal of
Science, pp. 4892–4902, Dec. 2021, doi: 10.24996/ijs.2021.62.12.27.
E. Sh. M. Haddad and F. Sh. M. Batah, “On Estimating Reliability of a Stress – Strength Model in Case
of Rayleigh Pareto Distribution,” Iraqi Journal of Science, pp. 4847–4858, Dec. 2021, doi:
24996/ijs.2021.62.12.23.
A. A. J. Ahmed and F. Sh. M. Batah, “On the Estimation of Stress-Strength Model Reliability Parameter
of Power Rayleigh Distribution,” Iraqi Journal of Science, pp. 809–822, Feb. 2023, doi:
24996/ijs.2023.64.2.27.
E. E. Akarawak, I. A. Adeleke, and R. Okafor, “The Weibull-Rayleigh Distribution and Its Properties,”
The Journal of Engineering Research, vol. 18, 2016.
N. Sabah, “Estimation of Reliability for a Parallel Redundant System,” Journal of College of Education ,
no. 1, pp. 158–243, 2008.
B. S. Dhillon, “Stress—strength reliability models,” Microelectronics Reliability, vol. 20, no. 4, pp. 513–
, Jan. 1980, doi: 10.1016/0026-2714(80)90599-5.
A. M. Breipohl, “Statistical independence in reliability equations,” in 8th Nat. Symp. Rel. Qual. Contr.,
W. Mendenhall, R. J. Beaver, and B. M. Beaver, Introduction to probability and statistics. Cengage
Learning, 2012.
S. Abid, “The fréchet stress-strength model,” International Journal of Applied Mathematical Research,
vol. 3, no. 3, Jun. 2014, doi: 10.14419/ijamr.v3i3.2198.
K. J. H. Kao, “A Graphical Estimation of Mixed Weibull Parameters in Life-Testing of Electron Tubes,”
Technometrics, vol. 1, no. 4, p. 389, Nov. 1959, doi: 10.2307/1266719.
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الحقوق الفكرية (c) 2023 Journal of Education for Pure Science- University of Thi-Qar
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