8
Published
2023-07-01
Section
Articles
License
Copyright (c) 2023 N. S. Karam, H. A. Jasem
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Gumbel Type -2 Stress – Strength P(X<Y<Z) n-Cascade Reliability Estimation
N. S. Karam
H. A. Jasem
DOI: https://doi.org/10.47831/mjpas.v1i2.34
Keywords: n-Cascade system, Stress-strength Reliability, Probability P(X<Y<Z), The Gumbel Type- 2 Distribution, Estimation Methods.
Abstract
In this paper, is derived the reliability of n-cascade stress-strength system model based on the Gumbel Type- 2 Distribution (GT-2) with unknown parameter λ and known parameters β , for probability of n- components having strengths Y between two stresses X and Z .In the Gumbel Type- 2 Distribution ,there are six methods of parameters and this system reliability estimators where discussed by using the Maximum Likelihood, Moments Method, Least Square Method, Weighted Least Square Method , Regression and Percentile ,based estimators on the simulation technique , these estimates are compared by the mean square error criteria for both small, medium and large samples .It has been concluded that the maximum likelihood estimator performs better than all the options considered.
