Estimation of reliability series stress – Strength model based on power Rayleigh distribution

• Published in: AIP conference proceedings Vol. 2834; no. 1
• Main Authors: Ahmed, Abdulrhaman A. J., Batah, Feras Sh. M.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 04.12.2023
• Subjects: Criteria; Datasets; Electric power distribution; Monte Carlo simulation; Rayleigh distribution; Reliability
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0170971

The estimate of the parameter and reliability Series Rs = p[v<min (t1, t2, t3, … …. tr,] system in stress – strength model with (Strength (v)) subject to a( stress( t)) that our motivaction in this paper. They follows the power Rayleigh distribution PR(ʓ,β). We used two data sets with criteria( −2 ln(l), AIC, BIC, AICC, KS, HQIC, p−value). The paper investgates and proposes some estimation methods. Comparsions between these methods utilized three criteria such as (bisd), (MSE) and (MAPE). Monte Carlo simulation study and real-data set uses to concluded the results of this paper.