Some extensions to double ranked set sampling

Mu'azu R. Abujiya*, Hassen A. Muttlak

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The efficiency of Double Ranked Set Sampling (DRSS) suggested by Al-Saleh and Al- Kadiri (2000) as a modification of the Ranked Set Sampling (RSS) depends largely on the success in ranking the variable of interest. With large sample size, it becomes more difficult to apply in real life situations. With this, we introduce Median Double Ranked Set Sampling (MDRSS), Double Median Ranked Set Sampling (DMRSS) and Extreme Double Ranked Set Sampling (EDRSS), which might be used in some areas of applications instead of DRSS to increase the efficiency of the estimators. It is shown that the new estimators for the population mean are unbiased estimator if the underlying distribution is symmetric and more efficient than RSS and DRSS for most of the distributions considered in this study.

Original languageEnglish
Title of host publicationProgress in Applied Statistics Research
PublisherNova Science Publishers, Inc.
Pages245-260
Number of pages16
ISBN (Electronic)9781617286643
ISBN (Print)9781604561241
StatePublished - 7 Aug 2009

Bibliographical note

Publisher Copyright:
© 2009 Nova Science Publishers, Inc.

Keywords

  • And simple random sampling
  • Double median ranked set sampling
  • Double ranked set sampling
  • Extreme double ranked set sampling
  • Extreme ranked set sampling
  • Median double ranked set sampling
  • Median ranked set sampling
  • Ranked set sampling
  • Relative efficiency

ASJC Scopus subject areas

  • General Mathematics

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