A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
This study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including...
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Language: | English |
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Elsevier
2025-04-01
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Series: | Alexandria Engineering Journal |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825000870 |
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author | Mohammed R. Alzahrani Mohammed Almohaimeed |
author_facet | Mohammed R. Alzahrani Mohammed Almohaimeed |
author_sort | Mohammed R. Alzahrani |
collection | DOAJ |
description | This study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including their biases and mean square errors, have been rigorously analyzed via numerical and simulation contemplation. As compared to the existing estimators, our suggested ones are more efficient and have a reduced minimum mean square error (MSE). These indicate that it is functioning adequately. Our proposed estimator is the most effective, according to a comparison study with other methods already in use. The results of this investigation will be useful for improving survey sampling methods in the future. |
format | Article |
id | doaj-art-497c5c90863d425ea49a71b6bf0e8b73 |
institution | Kabale University |
issn | 1110-0168 |
language | English |
publishDate | 2025-04-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
spelling | doaj-art-497c5c90863d425ea49a71b6bf0e8b732025-02-02T05:26:52ZengElsevierAlexandria Engineering Journal1110-01682025-04-011196472A novel approach for estimation Population Mean with Dual Use of in Stratified Random SamplingMohammed R. Alzahrani0Mohammed Almohaimeed1Departmental of Psychology Faculty of Education Umm Al-Qura University, Saudi Arabia; Corresponding author.Departmental of Educational Psychology Faculty of Education Taibah University, Saudi ArabiaThis study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including their biases and mean square errors, have been rigorously analyzed via numerical and simulation contemplation. As compared to the existing estimators, our suggested ones are more efficient and have a reduced minimum mean square error (MSE). These indicate that it is functioning adequately. Our proposed estimator is the most effective, according to a comparison study with other methods already in use. The results of this investigation will be useful for improving survey sampling methods in the future.http://www.sciencedirect.com/science/article/pii/S1110016825000870Stratified random samplingDistribution FunctionPREsNew set of estimatorsMean Estimation |
spellingShingle | Mohammed R. Alzahrani Mohammed Almohaimeed A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling Alexandria Engineering Journal Stratified random sampling Distribution Function PREs New set of estimators Mean Estimation |
title | A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling |
title_full | A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling |
title_fullStr | A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling |
title_full_unstemmed | A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling |
title_short | A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling |
title_sort | novel approach for estimation population mean with dual use of in stratified random sampling |
topic | Stratified random sampling Distribution Function PREs New set of estimators Mean Estimation |
url | http://www.sciencedirect.com/science/article/pii/S1110016825000870 |
work_keys_str_mv | AT mohammedralzahrani anovelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling AT mohammedalmohaimeed anovelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling AT mohammedralzahrani novelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling AT mohammedalmohaimeed novelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling |