Multistage median ranked set sampling for estimating the population median

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We modify RSS to come up with new sampling method, namely, Multistage Median Ranked Set Sampling (MMRSS). The MMRSS was suggested for estimating the population median and to increase the efficiency of the estimator for specific value of the sample size. The MMRSS was conapared to the Simple Random Sampling (SRS), Ranked Set Sampling (RSS) and Median Ranked Set Sampling (MRSS) methods. It is found that MMRSS gives an unbiased estimate of the population median of symmetric distributions and it is more efficient than SRS, RSS and MRSS based on the same number of measured units. Also, it was found that the efficiency of MMRSS increases in r (r is the number of stage) for specific value of the sample size. For asymmetric distributions considered in this study, MMRSS has a small bias, close to zero as r increases, especially with odd sample-size. A set of real data was used to illustrate the method.

Original languageEnglish
Pages (from-to)58-64
Number of pages7
JournalJournal of Mathematics and Statistics
Volume3
Issue number2
Publication statusPublished - 2007

Fingerprint

Ranked Set Sampling
Simple Random Sampling
Sample Size
Sampling Methods
Asymmetric Distribution
Symmetric Distributions
Odd

Keywords

  • Median ranked set sampling
  • Multistage median ranked set sampling
  • Multistage ranked set sampling
  • Ranked set sampling
  • Simple random sampling

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Multistage median ranked set sampling for estimating the population median. / Jemain, Abdul Aziz; Al-Omari, Amer; Ibrahim, Kamarulzaman.

In: Journal of Mathematics and Statistics, Vol. 3, No. 2, 2007, p. 58-64.

Research output: Contribution to journalArticle

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