Some estimators for the population mean using auxiliary information under ranked set sampling

Walid A. Abu-Dayyeh, M. S. Ahmed, R. A. Ahmed, Hassen A. Muttlak

Research output: Contribution to journalArticle

Abstract

Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.

Original languageEnglish
Pages (from-to)253-265
Number of pages13
JournalJournal of Modern Applied Statistical Methods
Volume8
Issue number1
Publication statusPublished - May 2009

Fingerprint

Ranked Set Sampling
Auxiliary Information
Estimator
Ranked Set Sample
Mean square error
Ranking
Sampling
Estimate

Keywords

  • Auxiliary variables
  • Efficiency
  • Ranked set sample
  • Ranking

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

Cite this

Some estimators for the population mean using auxiliary information under ranked set sampling. / Abu-Dayyeh, Walid A.; Ahmed, M. S.; Ahmed, R. A.; Muttlak, Hassen A.

In: Journal of Modern Applied Statistical Methods, Vol. 8, No. 1, 05.2009, p. 253-265.

Research output: Contribution to journalArticle

Abu-Dayyeh, Walid A. ; Ahmed, M. S. ; Ahmed, R. A. ; Muttlak, Hassen A. / Some estimators for the population mean using auxiliary information under ranked set sampling. In: Journal of Modern Applied Statistical Methods. 2009 ; Vol. 8, No. 1. pp. 253-265.
@article{c3b8a25b41db4e6bbc68c5d95a7ca3c6,
title = "Some estimators for the population mean using auxiliary information under ranked set sampling",
abstract = "Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.",
keywords = "Auxiliary variables, Efficiency, Ranked set sample, Ranking",
author = "Abu-Dayyeh, {Walid A.} and Ahmed, {M. S.} and Ahmed, {R. A.} and Muttlak, {Hassen A.}",
year = "2009",
month = "5",
language = "English",
volume = "8",
pages = "253--265",
journal = "Journal of Modern Applied Statistical Methods",
issn = "1538-9472",
publisher = "Wayne State University",
number = "1",

}

TY - JOUR

T1 - Some estimators for the population mean using auxiliary information under ranked set sampling

AU - Abu-Dayyeh, Walid A.

AU - Ahmed, M. S.

AU - Ahmed, R. A.

AU - Muttlak, Hassen A.

PY - 2009/5

Y1 - 2009/5

N2 - Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.

AB - Auxiliary information is used along with ranking information to derive several classes of estimators to estimate the population mean of a variable of interest based on RSS (ranked set sample). The properties of these newly suggested estimators were examined. Comparisons between special cases of these estimators and other known estimators are made using a real data set. Some of the new estimators are superior to the old ones in terms of bias and mean square error.

KW - Auxiliary variables

KW - Efficiency

KW - Ranked set sample

KW - Ranking

UR - http://www.scopus.com/inward/record.url?scp=78650771319&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650771319&partnerID=8YFLogxK

M3 - Article

VL - 8

SP - 253

EP - 265

JO - Journal of Modern Applied Statistical Methods

JF - Journal of Modern Applied Statistical Methods

SN - 1538-9472

IS - 1

ER -