A new approach for estimating variance of a population employing information obtained from a stratified random sampling
In this article, we suggest an enhanced estimator for the estimation of finite population variance using twofold auxiliary variable under stratified random sampling. The numerical expressions for the bias and MSE are determined up to the first order of approximation. In order to effectively validate...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023086851 |
| _version_ | 1797429879869800448 |
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| author | Sohaib Ahmad Aned Al Mutairi Said G. Nassr Hassan Alsuhabi Mustafa Kamal Masood Ur Rehman |
| author_facet | Sohaib Ahmad Aned Al Mutairi Said G. Nassr Hassan Alsuhabi Mustafa Kamal Masood Ur Rehman |
| author_sort | Sohaib Ahmad |
| collection | DOAJ |
| description | In this article, we suggest an enhanced estimator for the estimation of finite population variance using twofold auxiliary variable under stratified random sampling. The numerical expressions for the bias and MSE are determined up to the first order of approximation. In order to effectively validate the theoretical findings, three actual data sets are included. Additionally, the application of the suggested estimators is demonstrated using a simulation study. Results of an empirical comparison among the suggested and existing estimators were investigated. To determine how good the suggested estimator, in comparison to the preliminary estimators, the MSE criterion is used. The suggested estimator has a smaller MSE and better PRE than existing estimators, according to numerical results utilizing actual data sets and a simulation analysis. |
| first_indexed | 2024-03-09T09:20:18Z |
| format | Article |
| id | doaj.art-e5bea2412b584de09c0c599d6cf47f18 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-09T09:20:18Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-e5bea2412b584de09c0c599d6cf47f182023-12-02T07:02:29ZengElsevierHeliyon2405-84402023-11-01911e21477A new approach for estimating variance of a population employing information obtained from a stratified random samplingSohaib Ahmad0Aned Al Mutairi1Said G. Nassr2Hassan Alsuhabi3Mustafa Kamal4Masood Ur Rehman5Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan; Corresponding author.Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Statisitcs and Insurance, Faculty of Commerce, Arish University, Arish 45511, EgyptDepartment o Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi ArabiaDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, 23356, Saudi ArabiaDepartment of Information Technology, College of Computing and Informatics, Saudi Electronic University, Dammam 32256, Saudi ArabiaIn this article, we suggest an enhanced estimator for the estimation of finite population variance using twofold auxiliary variable under stratified random sampling. The numerical expressions for the bias and MSE are determined up to the first order of approximation. In order to effectively validate the theoretical findings, three actual data sets are included. Additionally, the application of the suggested estimators is demonstrated using a simulation study. Results of an empirical comparison among the suggested and existing estimators were investigated. To determine how good the suggested estimator, in comparison to the preliminary estimators, the MSE criterion is used. The suggested estimator has a smaller MSE and better PRE than existing estimators, according to numerical results utilizing actual data sets and a simulation analysis.http://www.sciencedirect.com/science/article/pii/S2405844023086851SimulationStratified random samplingVariancebiasMSEPRE |
| spellingShingle | Sohaib Ahmad Aned Al Mutairi Said G. Nassr Hassan Alsuhabi Mustafa Kamal Masood Ur Rehman A new approach for estimating variance of a population employing information obtained from a stratified random sampling Heliyon Simulation Stratified random sampling Variance bias MSE PRE |
| title | A new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| title_full | A new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| title_fullStr | A new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| title_full_unstemmed | A new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| title_short | A new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| title_sort | new approach for estimating variance of a population employing information obtained from a stratified random sampling |
| topic | Simulation Stratified random sampling Variance bias MSE PRE |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023086851 |
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