A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling
This study suggests a new optimal family of exponential-type estimators for estimating population mean in stratified random sampling. These estimators are based on the traditional and nontraditional measures of auxiliary information. Expressions for the bias, mean square error, and minimum mean squa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9038126 |
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| _version_ | 1832558098707906560 |
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| author | Maria Javed Muhammad Irfan Sajjad Haider Bhatti Ronald Onyango |
| author_facet | Maria Javed Muhammad Irfan Sajjad Haider Bhatti Ronald Onyango |
| author_sort | Maria Javed |
| collection | DOAJ |
| description | This study suggests a new optimal family of exponential-type estimators for estimating population mean in stratified random sampling. These estimators are based on the traditional and nontraditional measures of auxiliary information. Expressions for the bias, mean square error, and minimum mean square error of the proposed estimators are derived up to first order of approximation. It is observed that proposed estimators perform better than the traditional estimators (unbiased, combined ratio, and combined regression) and other recent estimators. A real dataset is used to highlight the applicability of proposed estimators. In addition, a simulation study is carried out to assess the performance of new family as compared to other estimators. |
| format | Article |
| id | doaj-art-597a0ca02ea543ad84432558755b7594 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-597a0ca02ea543ad84432558755b75942025-02-03T01:33:18ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/9038126A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random SamplingMaria Javed0Muhammad Irfan1Sajjad Haider Bhatti2Ronald Onyango3Department of StatisticsDepartment of StatisticsDepartment of StatisticsDepartment of Applied StatisticsThis study suggests a new optimal family of exponential-type estimators for estimating population mean in stratified random sampling. These estimators are based on the traditional and nontraditional measures of auxiliary information. Expressions for the bias, mean square error, and minimum mean square error of the proposed estimators are derived up to first order of approximation. It is observed that proposed estimators perform better than the traditional estimators (unbiased, combined ratio, and combined regression) and other recent estimators. A real dataset is used to highlight the applicability of proposed estimators. In addition, a simulation study is carried out to assess the performance of new family as compared to other estimators.http://dx.doi.org/10.1155/2021/9038126 |
| spellingShingle | Maria Javed Muhammad Irfan Sajjad Haider Bhatti Ronald Onyango A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling Journal of Mathematics |
| title | A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling |
| title_full | A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling |
| title_fullStr | A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling |
| title_full_unstemmed | A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling |
| title_short | A Simulation-Based Study for Progressive Estimation of Population Mean through Traditional and Nontraditional Measures in Stratified Random Sampling |
| title_sort | simulation based study for progressive estimation of population mean through traditional and nontraditional measures in stratified random sampling |
| url | http://dx.doi.org/10.1155/2021/9038126 |
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