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Folded Ranked Set Sampling for Asymmetric Distributions

  • Bani-Mustafa, Ahmed (Prince Sultan College Jeddah, Alfisel University) ;
  • Al-Nasser, Amjad D. (Division of Area Planning & Residents Relations, WRM) ;
  • Aslam, Muhammad (Department of Statistics, Forman Christian College University)
  • Received : 20100600
  • Accepted : 20100800
  • Published : 2011.01.30

Abstract

In this paper a new sampling procedure for estimating the population mean is introduced. The performance of the new population mean estimator is discussed, along with its properties, and it is shown that the proposed method generates an unbiased estimator. The relative efficiency of the suggested estimator is computed, in regards to the simple random sample(SRS), and comparisons are made to the ranked set sampling(RSS) and extreme ranked set sampling(ERSS) estimators used for asymmetric distributions. The results indicate that the proposed estimator is more efficient than the estimators based on the ERSS. In addition, the folded ranked set sampling(FRSS) procedure has an advantage over the RSS and ERSS in that it reduces the number of unused sampling units.

Keywords

References

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Cited by

  1. Ranked Set Sampling: Its Relevance and Impact on Statistical Inference vol.2012, 2012, https://doi.org/10.5402/2012/568385