Estimation a Stress-Strength Model for P(Yr:n1 < Xk:n2) Using the Lindley Distribution
Fuente:
Redalyc
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Artículo científico |
| Langue: | en |
| Publié: |
Universidad Nacional de Colombia
2017
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1876476536149770240 |
|---|---|
| author | Marwa KH Hassan |
| author_facet | Marwa KH Hassan |
| contents | Estimation a Stress-Strength Model for P(Yr:n1 < Xk:n2) Using the Lindley Distribution Marwa KH Hassan Física, Astronomía y Matemáticas Stress Strength Model Bayes Estimator Order Statistics 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 R r;k . The maximum likelihood estimator ( M LE ) , uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of R r;k are obtained. A simulation study is performed to compare the different estimators of R r;k . Real data is used as a practical application of the proposed model. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| format | Artículo científico |
| id | redalyc_89949526007 |
| institution | Redalyc |
| language | en |
| publishDate | 2017 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Estimation a Stress-Strength Model for P(Yr:n1 < Xk:n2) Using the Lindley Distribution Marwa KH Hassan Física, Astronomía y Matemáticas Stress Strength Model Bayes Estimator Order Statistics Lindley Distribution Estimation a Stress-Strength Model for P(Yr:n1 < Xk:n2) Using the Lindley Distribution Marwa KH Hassan Física, Astronomía y Matemáticas Stress Strength Model Bayes Estimator Order Statistics 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 R r;k . The maximum likelihood estimator ( M LE ) , uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of R r;k are obtained. A simulation study is performed to compare the different estimators of R r;k . Real data is used as a practical application of the proposed model. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| title | Estimation a Stress-Strength Model for P(Yr:n1 < Xk:n2) Using the Lindley Distribution |
| topic | Física, Astronomía y Matemáticas Stress Strength Model Bayes Estimator Order Statistics Lindley Distribution |
| url | https://www.redalyc.org/articulo.oa?id=89949526007 |