TY  - BOOK
AU  - Mahmoud Hamed Mahmoud Mohamed
AU  - Abdallah M. Abdelfattah , 
AU  - Mostafa M. Elfahham , 
TI  - On Estimation of stress-strength parameter based on progressive censoring in some reliability models / 
PY  - 2014///
CY  - Cairo : 
PB  - Mahmoud Hamed Mahmoud Mohamed , 
KW  - Burr Type XII distribution
KW  - Rayleigh distribution
KW  - Weibull distribution
N1  - Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematical; Issued also as CD
N2  - 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
UR  - http://172.23.153.220/th.pdf
ER  -