Improved point and interval estimation of the stress–strength reliability based on ranked set sampling

Statistics ◽  
2018 ◽  
Vol 53 (1) ◽  
pp. 101-125 ◽  
Author(s):  
A. Safariyan ◽  
M. Arashi ◽  
R. Arabi Belaghi
Keyword(s):  
Interval Estimation ◽  
Ranked Set Sampling

Interval estimation of $$P(X

2018 ◽  
Vol 33 (3) ◽  
pp. 1325-1348 ◽  
Author(s):  
M. Mahdizadeh ◽  
Ehsan Zamanzade
Keyword(s):  
Interval Estimation ◽  
Ranked Set Sampling

scholarly journals Estimation of stress-strength reliability using record ranked set sampling scheme from the exponential distribution

Filomat ◽  
2015 ◽  
Vol 29 (5) ◽  
pp. 1149-1162 ◽  
Author(s):  
Mahdi Salehi ◽  
Jafar Ahmadi
Keyword(s):  
Maximum Likelihood ◽  
Exponential Distribution ◽  
Interval Estimation ◽  
Minimum Variance ◽  
Ranked Set Sampling ◽  
Strength Parameter ◽  
Likelihood Estimator ◽  
Data Set ◽  
Minimum Variance Unbiased Estimator ◽  
Upper Record

In this paper, point and interval estimation of stress-strength reliability based on upper record ranked set sampling (RRSS) from one-parameter exponential distribution are considered. Maximum likelihood estimator (MLE) as well as the uniformly minimum variance unbiased estimator (UMVUE) of stress-strength parameter are derived and their performance are studied. Also, some confidence intervals for stress-strength parameter based on upper RRSS are constructed and then compared on the basis of a simulation study. Finally, a data set has been analyzed for illustrative purposes.

scholarly journals Comparison of two sampling schemes in estimating the stress-strength reliability under the proportional reversed hazard rate model

2020 ◽  
Vol 9 (1) ◽  
pp. 82-98
Author(s):  
Amineh Sadeghpour ◽  
Ahmad Nezakati ◽  
Mahdi Salehi
Keyword(s):  
Hazard Rate ◽  
Interval Estimation ◽  
Minimum Variance ◽  
Ranked Set Sampling ◽  
Sampling Scheme ◽  
Rate Model ◽  
Data Set ◽  
Reversed Hazard Rate ◽  
Sampling Schemes ◽  
Hazard Rate Model

In this paper, point and interval estimation of stress-strength reliability based on lower record ranked set sampling scheme under the proportional reversed hazard rate model are considered. Maximum likelihood, uniformly minimum variance unbiased, and Bayesian estimators of $\mathcal{R}$ are derived and their performances are compared. Various confidence intervals for the parameter $\mathcal{R}$ are constructed, and compared based on the simulation study. Moreover, the record ranked set sampling scheme is compared with ordinary records in case of interval estimations. Finally, a data set has been analyzed for illustrative purposes.

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