International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 121

Iraq | Mathematics | Volume 6 Issue 11, November 2017 | Pages: 1825 - 1832


Estimation R(s,k) of Generalized Rayleigh Distribution

Abbas.N.S, Eman.A.A

Abstract: In this paper, a reliability of the multi-component system in stress-strength model R (s, k) will be considered, when the stress and strength are independent identically distribution (iid), follows Generalized Rayleigh Distribution (GRD) with the unknown shape parameter and known scale parameter ( =1). Different estimation methods of R (s, k) for (GRD) were introduced like Maximum likelihood, Least square and Shrinkage estimators. The comparisons among the proposed estimators were made depend on simulation based on mean squared error (MSE) criteria.

Keywords: Generalized Rayleigh Distribution GRD, Reliability of multi-component Stress Strength models R s, k, Maximum likelihood estimator MLE, least square estimator LS, Shrinkage estimator and mean squared error MSE



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