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Article: Kernel method for the estimation of the distribution function and the mean with auxiliary information in ranked set sampling

TitleKernel method for the estimation of the distribution function and the mean with auxiliary information in ranked set sampling
Authors
KeywordsAuxiliary information
Concomitant variable
Kernel method
Ranked set sampling
Ratio estimator
Regression estimator
Issue Date2002
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/6285
Citation
Environmetrics, 2002, v. 13 n. 4, p. 397-406 How to Cite?
AbstractThe method of ranked set sampling is widely applicable in environmental research mainly in the estimation of the mean and distribution function of the variable of interest, Y. Ranking of the Ys by visual judgment may be imperfect sometimes. When the Ys are expensive to measure, it would be more convenient to determine the 'rankings' of the Ys by a concomitant variable, X, which is relatively easy and cheap to make measurements. The information carried in X is not utilized in all estimation methods available in the literature except in determining the rankings of Ys unless extra distributional or linearity assumptions are made. However, these assumptions may be too stringent in environmental research. Nonparametric estimators for the distribution function and the mean of Y utilizing the concomitant variable and auxiliary information in a ranked set sampling setup are proposed in this article. The estimators are robust to model misspecification, and the performance of the estimators is highly satisfactory, supported by some simulation studies. The estimators are applied to a real data set to estimate the mean and distribution function of plutonium concentration in surface soil on the Nevada Test Site, Nevada, U.S.A. Copyright © 2002 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/82873
ISSN
2015 Impact Factor: 1.16
2015 SCImago Journal Rankings: 1.176
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLam, KFen_HK
dc.contributor.authorYu, PLHen_HK
dc.contributor.authorLee, CFen_HK
dc.date.accessioned2010-09-06T08:34:23Z-
dc.date.available2010-09-06T08:34:23Z-
dc.date.issued2002en_HK
dc.identifier.citationEnvironmetrics, 2002, v. 13 n. 4, p. 397-406en_HK
dc.identifier.issn1180-4009en_HK
dc.identifier.urihttp://hdl.handle.net/10722/82873-
dc.description.abstractThe method of ranked set sampling is widely applicable in environmental research mainly in the estimation of the mean and distribution function of the variable of interest, Y. Ranking of the Ys by visual judgment may be imperfect sometimes. When the Ys are expensive to measure, it would be more convenient to determine the 'rankings' of the Ys by a concomitant variable, X, which is relatively easy and cheap to make measurements. The information carried in X is not utilized in all estimation methods available in the literature except in determining the rankings of Ys unless extra distributional or linearity assumptions are made. However, these assumptions may be too stringent in environmental research. Nonparametric estimators for the distribution function and the mean of Y utilizing the concomitant variable and auxiliary information in a ranked set sampling setup are proposed in this article. The estimators are robust to model misspecification, and the performance of the estimators is highly satisfactory, supported by some simulation studies. The estimators are applied to a real data set to estimate the mean and distribution function of plutonium concentration in surface soil on the Nevada Test Site, Nevada, U.S.A. Copyright © 2002 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/6285en_HK
dc.relation.ispartofEnvironmetricsen_HK
dc.rightsEnvironmetrics. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectAuxiliary informationen_HK
dc.subjectConcomitant variableen_HK
dc.subjectKernel methoden_HK
dc.subjectRanked set samplingen_HK
dc.subjectRatio estimatoren_HK
dc.subjectRegression estimatoren_HK
dc.titleKernel method for the estimation of the distribution function and the mean with auxiliary information in ranked set samplingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1180-4009&volume=13&spage=397&epage=406&date=2002&atitle=Kernel+method+for+the+estimation+of+the+distribution+function+and+the+mean+with+auxiliary+information+in+ranked+set+samplingen_HK
dc.identifier.emailLam, KF: hrntlkf@hkucc.hku.hken_HK
dc.identifier.emailYu, PLH: plhyu@hku.hken_HK
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_HK
dc.identifier.authorityLam, KF=rp00718en_HK
dc.identifier.authorityYu, PLH=rp00835en_HK
dc.identifier.authorityLee, CF=rp00139en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/env.553en_HK
dc.identifier.scopuseid_2-s2.0-0036282423en_HK
dc.identifier.hkuros66477en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036282423&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume13en_HK
dc.identifier.issue4en_HK
dc.identifier.spage397en_HK
dc.identifier.epage406en_HK
dc.identifier.isiWOS:000176230500006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLam, KF=8948421200en_HK
dc.identifier.scopusauthoridYu, PLH=7403599794en_HK
dc.identifier.scopusauthoridLee, CF=8068602600en_HK

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