On Estimation of stress-strength parameter based on progressive censoring in some reliability models /
Mahmoud Hamed Mahmoud Mohamed
On Estimation of stress-strength parameter based on progressive censoring in some reliability models / تقدير معلمة الإجهاد والقوة إعتماداً على العينات المراقبة متعددة المراحل لبعض نماذج الصلاحية Mahmoud Hamed Mahmoud Mohamed ; Supervised Abdallah M. Abdelfattah , Mostafa M. Elfahham , - Cairo : Mahmoud Hamed Mahmoud Mohamed , 2014 - 111 P. : charts ; 25cm
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. Dierent 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 condence interval based on the MLE estimator. Simulation is used for the purpose of illustration and comparing the dierent estimators using the mean square error (MSE), also we give some real data examples
Burr Type XII distribution Rayleigh distribution Weibull distribution
On Estimation of stress-strength parameter based on progressive censoring in some reliability models / تقدير معلمة الإجهاد والقوة إعتماداً على العينات المراقبة متعددة المراحل لبعض نماذج الصلاحية Mahmoud Hamed Mahmoud Mohamed ; Supervised Abdallah M. Abdelfattah , Mostafa M. Elfahham , - Cairo : Mahmoud Hamed Mahmoud Mohamed , 2014 - 111 P. : charts ; 25cm
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. Dierent 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 condence interval based on the MLE estimator. Simulation is used for the purpose of illustration and comparing the dierent estimators using the mean square error (MSE), also we give some real data examples
Burr Type XII distribution Rayleigh distribution Weibull distribution