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<p>The Searls technique has been used in this article to build a generalized class of estimators for estimating a finite population mean under a ranked set sampling strategy. To the first order of approximation, the equations for bias and mean square error (MSE) of the proposed class of estimators have been derived. Many specific estimators from the suggested class are displayed. Using the MSE, percentage relative efficiency criterion, the suggested class of estimators has been compared to the corresponding generalized class and to its other existing estimators. It has been established under what circumstances the suggested class performs better. Ranked set sampling is better substitute of simple random sampling, is also proved. Two real-world studies using real-world data on cost-effective gasoline sample, and sleeping patterns of elderly people have been used in efficiency comparisons, in empirical study. The simulation studies have also been carried for the same.</p>

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A Ranked Set Generalized Procedure for Computing Mean Using Searls Technique: Applications to Real Data

  • 期刊论文

  • 发表日期：

    2026年1月17日

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  • Abhishek Singh,
  • Bavita Singh,
  • Sweta Shukla

摘要

The Searls technique has been used in this article to build a generalized class of estimators for estimating a finite population mean under a ranked set sampling strategy. To the first order of approximation, the equations for bias and mean square error (MSE) of the proposed class of estimators have been derived. Many specific estimators from the suggested class are displayed. Using the MSE, percentage relative efficiency criterion, the suggested class of estimators has been compared to the corresponding generalized class and to its other existing estimators. It has been established under what circumstances the suggested class performs better. Ranked set sampling is better substitute of simple random sampling, is also proved. Two real-world studies using real-world data on cost-effective gasoline sample, and sleeping patterns of elderly people have been used in efficiency comparisons, in empirical study. The simulation studies have also been carried for the same.