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On Estimation of stress-strength parameter based on progressive censoring in some reliability models / Mahmoud Hamed Mahmoud Mohamed ; Supervised Abdallah M. Abdelfattah , Mostafa M. Elfahham ,

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Mahmoud Hamed Mahmoud Mohamed , 2014Description: 111 P. : charts ; 25cmOther title:
  • تقدير معلمة الإجهاد والقوة إعتماداً على العينات المراقبة متعددة المراحل لبعض نماذج الصلاحية [Added title page title]
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Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematical Summary: In this thesis, the estimation of stress-strength parameter R = P(Y < X), when X and Y are independent random variables those follow the samere- liability model under progressive censoring of type II is studied. Among many important models in reliability, we propose the estimation of R for Weibull, Burr Type XII and Rayleigh distributions. Di{uFB00}erent meth- ods of estimation are utilized as maximum likelihood estimator (MLE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes estimator. Bayes estimation is obtained by using the squared error loss function in case of conjugate and non-informative priors for the parame- ters of models. Also, we obtained the exact con{uFB01}dence interval based on the MLE estimator. Simulation is used for the purpose of illustration and comparing the di{uFB00}erent estimators using the mean square error (MSE), also we give some real data examples
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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2014.Ma.O (Browse shelf(Opens below)) Not for loan 01010110065119000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2014.Ma.O (Browse shelf(Opens below)) 65119.CD Not for loan 01020110065119000

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematical

In this thesis, the estimation of stress-strength parameter R = P(Y < X), when X and Y are independent random variables those follow the samere- liability model under progressive censoring of type II is studied. Among many important models in reliability, we propose the estimation of R for Weibull, Burr Type XII and Rayleigh distributions. Di{uFB00}erent meth- ods of estimation are utilized as maximum likelihood estimator (MLE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes estimator. Bayes estimation is obtained by using the squared error loss function in case of conjugate and non-informative priors for the parame- ters of models. Also, we obtained the exact con{uFB01}dence interval based on the MLE estimator. Simulation is used for the purpose of illustration and comparing the di{uFB00}erent estimators using the mean square error (MSE), also we give some real data examples

Issued also as CD

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