Balanced groups ranked set samples for estimating the population median

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Balanced groups ranked set samples method (BGRSS) is suggested for estimating the population median with samples of size e m= 3k where (k =1,2,...) . The BGRSS sample median is considered as estimator of the population median. It is found that, the BGRSS produces unbiased estimators with smaller variance than the commonly used simple random sampling (SRS) when the underlying distribution is symmetric. For asymmetric distributions, the BGRSS estimators have a small bias. A real data is used to illustrate the BGRSS method.

Original languageEnglish
Title of host publicationNew Developments in Applied Statistics
PublisherNova Science Publishers, Inc.
Pages43-51
Number of pages9
ISBN (Print)9781613246481
Publication statusPublished - Feb 2012

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Keywords

  • Balanced groups ranked set sampling
  • Ranked set sampling
  • Simple random sampling

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Jemain, A. A., Al-Omari, A., & Ibrahim, K. (2012). Balanced groups ranked set samples for estimating the population median. In New Developments in Applied Statistics (pp. 43-51). Nova Science Publishers, Inc..

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

New Developments in Applied Statistics. Nova Science Publishers, Inc., 2012. p. 43-51.

Research output: Chapter in Book/Report/Conference proceedingChapter

Jemain, AA, Al-Omari, A & Ibrahim, K 2012, Balanced groups ranked set samples for estimating the population median. in New Developments in Applied Statistics. Nova Science Publishers, Inc., pp. 43-51.
Jemain AA, Al-Omari A, Ibrahim K. Balanced groups ranked set samples for estimating the population median. In New Developments in Applied Statistics. Nova Science Publishers, Inc. 2012. p. 43-51
Jemain, Abdul Aziz ; Al-Omari, Amer ; Ibrahim, Kamarulzaman. / Balanced groups ranked set samples for estimating the population median. New Developments in Applied Statistics. Nova Science Publishers, Inc., 2012. pp. 43-51
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