On Bivariate Ranked Set Sampling for Distribution and Quantile Estimation and Quantile Interval Estimation Using Ratio Estimator

2004 ◽  
Vol 33 (8) ◽  
pp. 1801-1819 ◽  
Author(s):  
Hani M. Samawi ◽  
Mohammad Fraiwan Al-Saleh
Metrika ◽  
1998 ◽  
Vol 47 (1) ◽  
pp. 203-213 ◽  
Author(s):  
M. Rueda García ◽  
A. Arcos Cebrián ◽  
E. Artés Rodríguez

Author(s):  
Krishna K. Saha ◽  
Daniel Miller ◽  
Suojin Wang

AbstractInterval estimation of the proportion parameter in the analysis of binary outcome data arising in cluster studies is often an important problem in many biomedical applications. In this paper, we propose two approaches based on the profile likelihood and Wilson score. We compare them with two existing methods recommended for complex survey data and some other methods that are simple extensions of well-known methods such as the likelihood, the generalized estimating equation of Zeger and Liang and the ratio estimator approach of Rao and Scott. An extensive simulation study is conducted for a variety of parameter combinations for the purposes of evaluating and comparing the performance of these methods in terms of coverage and expected lengths. Applications to biomedical data are used to illustrate the proposed methods.


2018 ◽  
Vol 33 (3) ◽  
pp. 1325-1348 ◽  
Author(s):  
M. Mahdizadeh ◽  
Ehsan Zamanzade

Filomat ◽  
2015 ◽  
Vol 29 (5) ◽  
pp. 1149-1162 ◽  
Author(s):  
Mahdi Salehi ◽  
Jafar Ahmadi

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.


2020 ◽  
Vol 9 (1) ◽  
pp. 82-98
Author(s):  
Amineh Sadeghpour ◽  
Ahmad Nezakati ◽  
Mahdi Salehi

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.


Statistics ◽  
2018 ◽  
Vol 53 (1) ◽  
pp. 101-125 ◽  
Author(s):  
A. Safariyan ◽  
M. Arashi ◽  
R. Arabi Belaghi

Author(s):  
Muhammad Tayyab ◽  
Muhammad Noor ul-Amin ◽  
Muhammad Hanif

Even order ranked set sampling (EORSS) is a novel proposed ranked set sampling scheme connected with an auxiliary variable correlated with the study variable. This scheme quantifies only the one sampling unit which is at even position from each ranking set by employing specific criteria. The performance of the ratio estimator under EORSS is compared to its contemporary estimators in simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and quartile ranked set sampling (QRSS) exploiting the same number of quantified units. The simulation results proved that EORSS is an efficient alternative sampling scheme for ratio estimation than SRS, RSS, MRSS and QRSS.


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