Estimating the population mean using extreme ranked set sampling

Hani Michel Samawi, Mohammad S. Ahmed, Walid Abu-Dayyeh

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112 Citations (Scopus)

Abstract

Precision of the estimate of the population mean using ranked set sample (RSS) relative to using simple random sample (SRS), with the same number of quantified units, depends upon the population and success in ranking. In practice, even ranking a sample of moderate size and observing the ith ranked unit (other than the extremes) is a difficult task. Therefore, in this paper we introduce a variety of extreme ranked set sample (ERSSs) to estimate the population mean ERSSs is more practical than the ordinary ranked set sampling, since in case of even sample size we need to identify successfully only the first and/or the last ordered unit or in case of odd sample size the median unit. We show that ERSSs gives an unbiased estimate of the population mean in case of symmetric populations and it is more efficient than SRS, using the same number of quantified units. Example using real data is given. Also, parametric examples are given.

Original languageEnglish
Pages (from-to)577-586
Number of pages10
JournalBiometrical Journal
Volume38
Issue number5
Publication statusPublished - 1996

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Keywords

  • Extreme ranked set sample
  • Mean square error
  • Order statistics
  • Ranked set sample
  • Simple random sample

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Samawi, H. M., Ahmed, M. S., & Abu-Dayyeh, W. (1996). Estimating the population mean using extreme ranked set sampling. Biometrical Journal, 38(5), 577-586.