Weibull Reliability Estimation of (3+1) Cascade Model
DOI:
https://doi.org/10.23851/mjs.v33i2.1036Keywords:
Standby redundancy, Parameter, Weibull distribution, Unit, distributed IdenticallyAbstract
In this paper presents the R reliability mathematical formula of (3+1) Weibull Cascade model. The reliability of the model is expressed by Weibull random variables, which are stress and strength distributions. The reliability model was estimated by six dissimilar methods (ML, Mo, LS, WLS, Rg and Pr) and simulation was performed using MATLAB 2012 program to compare the results of the reliability model estimates using the MSE criterion, the results indicated that the best estimator among the six estimators was ML.
Downloads
References
Aldrich, J. (1998). Doing Least Squares: Perspectives from Gauss and Yule. International Statistical Review / Revue Internationale de Statistique, 66(1), 61-81.
Aldrich J.(1997), R.A.Fisher and the Making of Making of Maximum Likelihood 1912-1922 , Statistical Science , 12(3), 162-176.
Alqallaf F , Ghitany M E and Agostinelli C.(2015) , Weighted Exponential Distribution : Different Methods of Estimations, Applied Mathematics & Information Sciences, 9(3),1167-1173.
Bera A K and Bilias Y. , (2002), The MM,ME,ML,EL,EF and GMM approaches to estimation : a synthesis, Journal of Econometrics, 107(1-2), 51-86.
Lai, C. D., Murthy, D. N., & Xie, M. (2006). Weibull distributions and their applications. In Springer Handbooks (pp. 63-78). Springer.,
Guney Y and Arslan O. (2017) , Robust parameter estimation for the Marshall-Olkin extended BURR XII distribution , Commun . Fac.Sci.Univ. Ank.Series Al, 66(2), 141-161.
Gupta R and Kundu D. (2001), Generalized exponential distribution : Different Method of estimations, Journal of Statistical Computation and Simulation, 69(4), 315-337.
Karam , N.S., and Khaleel , A.H., (2019) , Generalized inverse Rayleigh reliability estimation for the (2+1) Cascade model, AIP Conf. Proc. 2123(1), 020046-1-11.
Karam , N.S. , and Khaleel , A.H. , (2018) , Weibull reliability estimation for (2+1) Cascade model , International Journal of Advanced Mathematical Sciences . 6(1), 19-23.
Khaleel , A.H., and Karam , N.S. , (2019) , Estimating the reliability function of (2+1) Cascade model , Baghdad Science Journal , 16 (2),395-402 .
Khaleel, A.H., (2021), Exponential Reliability Estimation of (3+1) Cascade Model , MJPS ,8(2), 46-54.
Kumar , S and Vaish , M , (2017), A Study of Strength-Reliability for Gompertz Distributed Stress , International Journal of Statistics and System,12(3), 567-574.
Mutkekar , R.R. , and Munoli , S.B., (2016), Estimation of Reliability for Stress - Strength Cascade Model , Open Journal of Statistics,6(5),873-881 .
Nada S. Karam , Hawraa G. Ramk , (2017), Reliability Estimation for A Component Exposed Two and Three Independent Stresses Based on Lomax and Lindley Distribution, Zanco Journal of Pure and Applied Sciences, 29(4), 242-256.
Reddy , D., (2016) , Cascade and System Reliability for Exponential Distributions , DJ Journal of Engineering and Applied Mathematics,2(2),1-8. .
Downloads
Key Dates
Published
Issue
Section
License
Copyright (c) 2022 Al-Mustansiriyah Journal of Science
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
(Starting May 5, 2024) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgement of the work’s authorship and initial publication in this journal.