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Improvement on estimating median for finite population using auxiliary variables in double-sampling

The aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new s...

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Main Authors: Aamir, M., Shabri, A., Ishaq, M.
Format: Article
Language:English
Published: Penerbit UTM Press 2018
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/79671/1/AniShabri2018_ImprovementonEstimatingMedianforFinite.pdf
http://eprints.utm.my/id/eprint/79671/
http://dx.doi.org/10.11113/jt.v80.10851
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spelling my.utm.796712019-01-28T04:58:36Z http://eprints.utm.my/id/eprint/79671/ Improvement on estimating median for finite population using auxiliary variables in double-sampling Aamir, M. Shabri, A. Ishaq, M. QA Mathematics The aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new suggested median estimator. The suggested median estimator has a smaller MSE than all other median estimators currently in practice, showing a valid contribution to the literature. In addition, some members of the suggested estimator and theoretical comparison of MSE are also computed. Finally, the numerical and graphical comparison of percent relative efficiency (PRE) is also computed for five different real data sets. The PRE of the suggested estimator were 13610.69%, 177.59%, 17626.95%, 204.13% and 181.29% for dataset I, II, III, IV and V respectively which reveals the importance of the new estimator. Penerbit UTM Press 2018 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/79671/1/AniShabri2018_ImprovementonEstimatingMedianforFinite.pdf Aamir, M. and Shabri, A. and Ishaq, M. (2018) Improvement on estimating median for finite population using auxiliary variables in double-sampling. Jurnal Teknologi, 80 (5). pp. 135-143. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v80.10851 DOI:10.11113/jt.v80.10851
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Aamir, M.
Shabri, A.
Ishaq, M.
Improvement on estimating median for finite population using auxiliary variables in double-sampling
description The aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new suggested median estimator. The suggested median estimator has a smaller MSE than all other median estimators currently in practice, showing a valid contribution to the literature. In addition, some members of the suggested estimator and theoretical comparison of MSE are also computed. Finally, the numerical and graphical comparison of percent relative efficiency (PRE) is also computed for five different real data sets. The PRE of the suggested estimator were 13610.69%, 177.59%, 17626.95%, 204.13% and 181.29% for dataset I, II, III, IV and V respectively which reveals the importance of the new estimator.
format Article
author Aamir, M.
Shabri, A.
Ishaq, M.
author_facet Aamir, M.
Shabri, A.
Ishaq, M.
author_sort Aamir, M.
title Improvement on estimating median for finite population using auxiliary variables in double-sampling
title_short Improvement on estimating median for finite population using auxiliary variables in double-sampling
title_full Improvement on estimating median for finite population using auxiliary variables in double-sampling
title_fullStr Improvement on estimating median for finite population using auxiliary variables in double-sampling
title_full_unstemmed Improvement on estimating median for finite population using auxiliary variables in double-sampling
title_sort improvement on estimating median for finite population using auxiliary variables in double-sampling
publisher Penerbit UTM Press
publishDate 2018
url http://eprints.utm.my/id/eprint/79671/1/AniShabri2018_ImprovementonEstimatingMedianforFinite.pdf
http://eprints.utm.my/id/eprint/79671/
http://dx.doi.org/10.11113/jt.v80.10851
_version_ 1643658259241893888
score 13.211869

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