<p>It has been proven that ranked set sampling (RSS) is an efficient alternative of simple random sampling for estimating the population mean. But literature contains no estimation procedure for estimating the mean of a small domain under RSS. This article adapts the direct and synthetic mean, ratio, and power ratio estimators while proposing Searls power ratio estimators for domain mean under RSS. The properties of the adapted and suggested estimators are studied, and the analytical conditions for the suggested estimators are obtained. A comprehensive simulation study is executed to illustrate the analytical conditions. Further, a real-life application of the adapted and proposed estimators is illustrated utilizing the crop production data. At last, some suggestions are provided to survey statisticians.</p>

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Small area estimation under ranked set sampling: simulation and real life application with crop production data

  • Anoop Kumar,
  • Shashi Bhushan,
  • Rohini Pokhrel

摘要

It has been proven that ranked set sampling (RSS) is an efficient alternative of simple random sampling for estimating the population mean. But literature contains no estimation procedure for estimating the mean of a small domain under RSS. This article adapts the direct and synthetic mean, ratio, and power ratio estimators while proposing Searls power ratio estimators for domain mean under RSS. The properties of the adapted and suggested estimators are studied, and the analytical conditions for the suggested estimators are obtained. A comprehensive simulation study is executed to illustrate the analytical conditions. Further, a real-life application of the adapted and proposed estimators is illustrated utilizing the crop production data. At last, some suggestions are provided to survey statisticians.