Methods for estimating R-(S, K) based on Rayleigh-pareto distribution
Joint Authors
Haddad, Imad Sh. M.
Battah, Firas Sh. M.
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 13, Issue 1 (31 Mar. 2021), pp.103-109, 7 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2021-03-31
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Abstract EN
This paper considers with the reliability of a multicomponent system of k components estimation problem of a stress-strength model.
is obtained when the strength and stress variables have the two-parameters Rayleigh-Pareto distribution .
is the known scale parameter and ( ) is an unknown shape parameter for stress - strength distribution of Rayleigh-Pareto.
The system contains (K) components with its strength ( , which represent random variables distributed independently and symmetrically, and each component suffers from random stress is (X).
The system regards as active system only if at least strength components exceed the stress.
Parameter estimation using Least Squares (LS) , Relative Least Squares RLS , Wight Least Squares (WLS) and Ridge Regression Method (RRM) have discussed.
The estimating of reliability parameters obtained from all the approaches above are compared with the Mean Square Error (MSE) and Mean Absolute Percentage Error (MAPE) criteria based on Monte-Carlo simulation experiment.
Significantly, WLS and LS estimators have shown better performance compared with other methods.
American Psychological Association (APA)
Haddad, Imad Sh. M.& Battah, Firas Sh. M.. 2021. Methods for estimating R-(S, K) based on Rayleigh-pareto distribution. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 13, no. 1, pp.103-109.
https://search.emarefa.net/detail/BIM-1266347
Modern Language Association (MLA)
Haddad, Imad Sh. M.& Battah, Firas Sh. M.. Methods for estimating R-(S, K) based on Rayleigh-pareto distribution. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 13, no. 1 (2021), pp.103-109.
https://search.emarefa.net/detail/BIM-1266347
American Medical Association (AMA)
Haddad, Imad Sh. M.& Battah, Firas Sh. M.. Methods for estimating R-(S, K) based on Rayleigh-pareto distribution. al-Qadisiyah Journal for Computer Science and Mathematics. 2021. Vol. 13, no. 1, pp.103-109.
https://search.emarefa.net/detail/BIM-1266347
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 109
Record ID
BIM-1266347