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- Title
Methods For Estimating R<sub>(S,K)</sub> Based On Rayleigh-Pareto Distribution.
- Authors
Haddad, Emad Sh. M.; Batah, Feras Sh. M.
- Abstract
This paper considers with the reliability of a multicomponent system of k components R(S,K) estimation problem of a stress-strength model. R(S,K) is obtained when the strength and stress variables have the two-parameters Rayleigh-Pareto distribution RP(K, K). (K) is the known scale parameter and (K) is an unknown shape parameter for stress - strength distribution of Rayleigh-Pareto. The system contains (K) components with its strength (K1, K2, ... .. ., KK), 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.
- Subjects
LEAST squares; RIDGE regression (Statistics); MONTE Carlo method; RANDOM variables; CUMULATIVE distribution function
- Publication
Journal of Qadisiyah Computer Science & Mathematics, 2021, Vol 13, Issue 1, p103
- ISSN
2074-0204
- Publication type
Article
- DOI
10.29304/jqcm.2021.13.1.754