Enhancing mean estimators in median ranked set sampling with dual auxiliary information

Alharbi, Randa; Mustafa, Manahil SidAhmed; Al Mutairi, Aned; Hussein, Mohamed; Yusuf, M.; Elshenawy, Assem; Nassr, Said G.

doi:10.1016/j.heliyon.2023.e21427

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Heliyon

2023

DOI: 10.1016/j.heliyon.2023.e21427

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Enhancing mean estimators in median ranked set sampling with dual auxiliary information

Randa Alharbi,

Manahil SidAhmed Mustafa,

Aned Al Mutairi

et al.

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2024

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Estimation methods based on ranked set sampling for the arctan uniform distribution with application

Alyami,

Hassan,

Elbatal

et al. 2024

MATH

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<abstract><p>The arctan uniform distribution (AUD) is a brand-new bounded distribution that may be used for modeling a variety of existing bounded real-world datasets. Ranked set sampling (RSS) is a useful technique for parameter estimation when accurate measurement of the observation is challenging and/or expensive. In the current study, the parameter estimator of the AUD is addressed based on RSS and simple random sampling (SRS) techniques. Some of the popular conventional estimating techniques are considered. The efficiency of the produced estimates is compared using a Monte Carlo simulation. It appears that the maximum product spacing method has an advantage in assessing the quality of proposed estimates based on the outcomes of our simulations for both the SRS and RSS datasets. In comparison to estimates produced from the SRS datasets, it can be seen that those from the RSS datasets are more reliable. This implies that RSS is a more effective sampling technique in terms of generating estimates with a smaller mean squared error. The benefit of the RSS design over the SRS design is further supported by real data results.</p></abstract>

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Estimation methods based on ranked set sampling for the arctan uniform distribution with application

Alyami,

Hassan,

Elbatal

et al. 2024

MATH

View full text Add to dashboard Cite

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Enhancing mean estimators in median ranked set sampling with dual auxiliary information

Cited by 1 publication

References 16 publications

Estimation methods based on ranked set sampling for the arctan uniform distribution with application

Estimation methods based on ranked set sampling for the arctan uniform distribution with application

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