A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments

A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments

This paper presents new classes of estimators in estimating the finite population mean under double sampling in the presence of nonresponse when using information on fractional raw moments. The expressions for mean square error of the proposed classes of estimators are derived up to the first degree...

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Main Authors: Manzoor Khan, Javid Shabbir, Zawar Hussain, Bander Al-Zahrani
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/282065
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spelling doaj-06ca96fbaf5f4510bcdb70c60822bea62020-11-24T23:09:54ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/282065282065A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw MomentsManzoor Khan0Javid Shabbir1Zawar Hussain2Bander Al-Zahrani3Department of Statistics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Statistics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThis paper presents new classes of estimators in estimating the finite population mean under double sampling in the presence of nonresponse when using information on fractional raw moments. The expressions for mean square error of the proposed classes of estimators are derived up to the first degree of approximation. It is shown that a proposed class of estimators performs better than the usual mean estimator, ratio type estimators, and Singh and Kumar (2009) estimator. An empirical study is carried out to demonstrate the performance of a proposed class of estimators.http://dx.doi.org/10.1155/2014/282065
collection DOAJ
language English
format Article
sources DOAJ
author Manzoor Khan
Javid Shabbir
Zawar Hussain
Bander Al-Zahrani
spellingShingle Manzoor Khan
Javid Shabbir
Zawar Hussain
Bander Al-Zahrani
A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
Journal of Applied Mathematics
author_facet Manzoor Khan
Javid Shabbir
Zawar Hussain
Bander Al-Zahrani
author_sort Manzoor Khan
title A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
title_short A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
title_full A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
title_fullStr A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
title_full_unstemmed A Class of Estimators for Finite Population Mean in Double Sampling under Nonresponse Using Fractional Raw Moments
title_sort class of estimators for finite population mean in double sampling under nonresponse using fractional raw moments
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description This paper presents new classes of estimators in estimating the finite population mean under double sampling in the presence of nonresponse when using information on fractional raw moments. The expressions for mean square error of the proposed classes of estimators are derived up to the first degree of approximation. It is shown that a proposed class of estimators performs better than the usual mean estimator, ratio type estimators, and Singh and Kumar (2009) estimator. An empirical study is carried out to demonstrate the performance of a proposed class of estimators.
url http://dx.doi.org/10.1155/2014/282065
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