Marwa Yahya Ramdan Ahmed  <br/><br/>
Estimation problems for stress-strength model using ranked set sampling /  
 مشاكل التقدير لنموذج الاجهاد - التحمل بإستخدام معاينة المجموعة المرتبة  
Marwa Yahya Ramdan Ahmed ; Supervised Amal Soliman Hassan , Salwa Mahmoud Samy Assar  
 - Cairo :   Marwa Yahya Ramdan Ahmed  ,   2015 
 - 158 Leaves :   charts ;   30cm 
<br/><br/>Thesis (Ph.D.) - Cairo University - ِInsitute of statistical  studies and research - Department of Mathematical Statistics  
<br/><br/> Ranked set sampling approach is considered a cost efficient alternative to simple random sampling when observations are costly or time-consuming but the  ranking of the observations without actual measurement can be done relatively easily.  Many authors suggested different modifications for ranked set sampling to come up with new sampling techniques. Median ranked set sampling, extreme ranked set  sampling and percentile ranked set sampling are some modifications for ranked set sampling. In this dissertation research, the estimation of when and are two independent Burr type XII distributions is considered. Maximum likelihood  method is proposed to estimate based on ranked set sampling and some of its  modifications. The research methodology adapted here is to estimate the reliability in multicomponent by using maximum likelihood method of estimation based on different types of ranked set sampling, the reliability estimators for stress strength model are obtained when samples drawn from Burr type XII distributions. Additionally, Bayesian estimator of R using squared error and linear exponential loss functions based on simple random sampling, ranked set sampling and median ranked set sampling. Numerical study is carried out to compare the different estimators 
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<br/><br/><label>Subjects--Index Terms: </label>Modifications of ranked set sampling  Ranked Set Sampling  Stress-Strength Model