Robust Difference and Ratio Type Estimators in Presence of Correlated Measurement Errors Under Ranked Set Sampling

In survey sampling, the problem of correlated measurement errors (CMEs) was initially addressed using conventional estimators under simple random sampling (SRS) and ranked set sampling (RSS). To evaluate the impacts of CMEs, this study proposes some robust difference and ratio types of estimators using RSS methodology. The statistical properties like bias and mean square error are derived up to a first-order approximation. An extensive simulation study is performed, and the results are obtained, which exhibit the robustness of the proposed estimators compared to their conventional counterparts. AMS Subject Classification: MSC2020:62D05

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Publication Details

Journal
Calcutta Statistical Association Bulletin
Published
2025-02-04
DOI
https://doi.org/10.1177/00080683241299476
Citations
2
Primary Topic
Survey Sampling and Estimation Techniques
Type
article
Field-Weighted Citation Impact
5.26
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article

Robust Difference and Ratio Type Estimators in Presence of Correlated Measurement Errors Under Ranked Set Sampling

Shashi Bhushan, Anoop Kumar
2 citations
Calcutta Statistical Association Bulletin
Survey Sampling and Estimation Techniques
5.26
article

Robust Difference and Ratio Type Estimators in Presence of Correlated Measurement Errors Under Ranked Set Sampling

Shashi Bhushan, Anoop Kumar
article en
2 citations

Abstract

In survey sampling, the problem of correlated measurement errors (CMEs) was initially addressed using conventional estimators under simple random sampling (SRS) and ranked set sampling (RSS). To evaluate the impacts of CMEs, this study proposes some robust difference and ratio types of estimators using RSS methodology. The statistical properties like bias and mean square error are derived up to a first-order approximation. An extensive simulation study is performed, and the results are obtained, which exhibit the robustness of the proposed estimators compared to their conventional counterparts. AMS Subject Classification: MSC2020:62D05

Calcutta Statistical Association BulletinVol. 77(2)
University of Lucknow (IN)
Openalex Percentile: Top 6%
Survey Sampling and Estimation Techniques
5.26
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