Estimation of reliability series stress – Strength model based on power Rayleigh distribution
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( −...
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| Published in | AIP conference proceedings Vol. 2834; no. 1 |
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| Main Authors | , |
| Format | Journal Article Conference Proceeding |
| Language | English |
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American Institute of Physics
04.12.2023
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Ahmed, Abdulrhaman A. J. Batah, Feras Sh. M. |
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| Editor | Obaid, Ahmed J. Al-Owaedi, Oday A. |
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| References | Bader, Priest (c13) 1982 Dey, Dey, Kundu (c1) 2014; 33 Ateeq, Alvi (c2) 2019; 6 Kundu, Gupta (c8) 2005; 61 Iriarte, Gómez, Varela, Bolfarine (c3); 38 Raqab, Kundu (c9) 2005; 49 Al-Aqtash, Famoye (c12) 2014; 13 Bhat, Ahmad (c14) 2020; 36 Kao (c4) 1958; 13 Haddad, Batah (c11) 2021; 62 Mudasir, Ahmad (c10) 2019; 35 Ghazal, Hasaballah (c5) 2017; 12 Hassan, Basheikh (c7) 2012; 56 Haddad, Sh (c6) 2021; 62 |
| References_xml | – volume: 6 start-page: 1 year: 2019 ident: c2 article-title: An extension of Rayleigh distribution and applications publication-title: Cogent Mathematics and Statistics. – volume: 35 start-page: 321 year: 2019 ident: c10 article-title: Weighted Rayleigh distribution revisited via informative and non-informative priors publication-title: Pakistan Journal of Statistics. – volume: 13 start-page: 15 year: 1958 ident: c4 article-title: computer methods for estimating Weibull parameters in reliability studies publication-title: Transaction of IRE-Reliability and Quality control – start-page: 1129 year: 1982 ident: c13 article-title: Statistical Aspects of Fibre and Bundle Strength in Hybrid Composites publication-title: Progress in Science and Engineering of Composites, ICCM-IV, Tokyo – volume: 61 start-page: 291 year: 2005 ident: c8 article-title: Estimation of P(Y<X) for the generalized exponential distribution publication-title: (Metrik. – volume: 13 start-page: 201 year: 2014 ident: c12 article-title: Gumbel-Weibull distribution: properties and applications publication-title: Journal of Modern Applied Statistical Methods – volume: 12 start-page: 6863 year: 2017 ident: c5 article-title: Exponentiated Rayleigh distribution ”A Bayes study using MCMC approach based on unified hybrid censored data. publication-title: Journal of Advances in Mathematics – volume: 62 start-page: 4847 year: 2021 ident: c11 article-title: On Estimating Reliability of a Stress – Strength Model in Case of Rayleigh Pareto Distribution publication-title: Iraqi Journal of Science. – volume: 49 start-page: 187 year: 2005 ident: c9 article-title: Generalized Rayleigh distribution: Different methods of estimations publication-title: Computational Statistics and Data Analysis – volume: 62 start-page: 4847 year: 2021 ident: c6 article-title: On Estimating Reliability of a Stress – Strength Model in Case of Rayleigh Pareto Distribution publication-title: ”Iraqi Journal of Science. – volume: 38 start-page: 31 ident: c3 article-title: Slashed Rayleigh distribution publication-title: Revista Colombiana de Estadístic. – volume: 33 start-page: 55 year: 2014 ident: c1 article-title: Two-parameter Rayleigh distribution:Different methods of estimation publication-title: American Journal of Mathematical and Management Sciences – volume: 36 start-page: 225 year: 2020 ident: c14 article-title: A New Generalization of Rayleigh Distribution: Properties and Applications publication-title: Pakistan Journal of Statistics. – volume: 56 start-page: 82 year: 2012 ident: c7 article-title: Estimation of Reliability in Multicomponent Stress – strength Model Following Exponentiated Pareto Distribution publication-title: The Egyptian Statistical Journal, Institute Of Statistical Studies & Research, Cairo University. |
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| SubjectTerms | Criteria Datasets Electric power distribution Monte Carlo simulation Rayleigh distribution Reliability |
| Title | Estimation of reliability series stress – Strength model based on power Rayleigh distribution |
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