Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution

The problem of estimation reliability in a multicomponent stress-strength model, when the system consists of k components have strength each compo- nent experiencing a random stress, is considered in this paper. The reliability of such a system is obtained when strength and stress variables are given by Lindley distribution. The system is regarded as alive only if at least r out of k (r k) strength exceeds the stress. The multicomponent reliability of the system is given by Rr,k . The maximum likelihood estimator (M LE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of Rr,k are obtained. A simulation study is performed to compare the different estimators of Rr,k . Real data is used as a practical application of the proposed model.

• Autores: Khalil, Marwa
• Tipo de recurso: Article of journal
• Fecha de publicación: 2017
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/66505
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/66505; http://bdigital.unal.edu.co/67533/
• Palabra clave: 51 Matemáticas / Mathematics; 31 Colecciones de estadística general / Statistics; Bayes Estimator; Lindley Distribution; Maximum Likelihood Estimator; Order Statistics; Stress-Strength Model; Uniformly Minimum Variance Unbiased Estimator; Distribución de Lindley; estadísticas de orden; estimador de Bayes; estimador insesgado de varianza uniformemente mínima; estimador insesgado de varianza mínima; modelo de estrés-fuerza
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional