A novel proposed class of estimators under ranked set sampling: Simulation and diverse applications

Yusuf, M.; Alsadat, Najwan; Oluwafemi Samson, Balogun; El Raouf, Mahmoud Abd; Alohali, Hanan

doi:10.1016/j.heliyon.2023.e20773

Heliyon

2023

DOI: 10.1016/j.heliyon.2023.e20773

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A novel proposed class of estimators under ranked set sampling: Simulation and diverse applications

M. Yusuf,

Najwan Alsadat,

Balogun Oluwafemi Samson

et al.

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2024

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Cited by 2 publications

References 28 publications

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Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data

Triveni,

Danish

2024

Alexandria Engineering Journal

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Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data

Triveni,

Danish

2024

Alexandria Engineering Journal

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Weighted Ranked Set Sampling for Skewed Distributions

Bhoj,

Chandra

2024

Mathematics

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Ranked set sampling (RSS) is a useful technique for improving the estimator of a population mean when the sampling units in a study can be more easily ranked than the actual measurement. RSS performs better than simple random sampling (SRS) when the mean of units corresponding to each rank is used. The performance of RSS can be increased further by assigning weights to the ranked observations. In this paper, we propose weighted RSS procedures to estimate the population mean of positively skewed distributions. It is shown that the gains in the relative precisions of the population mean for chosen distributions are uniformly higher than those based on RSS. The gains in relative precisions are substantially high. Further, the relative precisions of our estimator are slightly higher than the ones based on Neyman’s optimal allocation model for small sample sizes. Moreover, it is shown that the performance of the proposed estimator increases as the skewness increases by using the example of the lognormal family of distributions.

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A novel proposed class of estimators under ranked set sampling: Simulation and diverse applications

Cited by 2 publications

References 28 publications

Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data

Exploring the dependability of Combined Ratio Estimators in Stratified Ranked Set Sampling: Insights from COVID-19 data

Weighted Ranked Set Sampling for Skewed Distributions

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