Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators
It is well-known that the appearance of measurement errors spoils the traditional results in survey sampling. The concept of correlated measurement errors (CMEs) is true in various practical situations, but this has been seldom considered by researchers in survey sampling. In this article, the influ...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8140831 |
| _version_ | 1827079814209601536 |
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| author | Anoop Kumar Shashi Bhushan Shivam Shukla Walid Emam Yusra Tashkandy Rajesh Gupta |
| author_facet | Anoop Kumar Shashi Bhushan Shivam Shukla Walid Emam Yusra Tashkandy Rajesh Gupta |
| author_sort | Anoop Kumar |
| collection | DOAJ |
| description | It is well-known that the appearance of measurement errors spoils the traditional results in survey sampling. The concept of correlated measurement errors (CMEs) is true in various practical situations, but this has been seldom considered by researchers in survey sampling. In this article, the influence of the CME under simple random sampling (SRS) has been considered over some prominent classes of estimators for the population mean. The first-order approximated formulae of the mean square error of the introduced estimators are reported, and a comparative analysis has also been conducted with traditional estimators. The theoretical findings are extended by a broad spectrum computational study using real and artificial data. |
| first_indexed | 2024-03-11T15:51:30Z |
| format | Article |
| id | doaj.art-ffa5effefd2642a7a8848660d69b215e |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-03-20T02:51:32Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-ffa5effefd2642a7a8848660d69b215e2024-10-03T07:27:06ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/8140831Impact of Correlated Measurement Errors on Some Efficient Classes of EstimatorsAnoop Kumar0Shashi Bhushan1Shivam Shukla2Walid Emam3Yusra Tashkandy4Rajesh Gupta5Department of StatisticsDepartment of StatisticsDepartment of Mathematics & StatisticsDepartment of Statistics and Operations ResearchDepartment of Statistics and Operations ResearchGlobal Data Insight & Analytics (GDIA)It is well-known that the appearance of measurement errors spoils the traditional results in survey sampling. The concept of correlated measurement errors (CMEs) is true in various practical situations, but this has been seldom considered by researchers in survey sampling. In this article, the influence of the CME under simple random sampling (SRS) has been considered over some prominent classes of estimators for the population mean. The first-order approximated formulae of the mean square error of the introduced estimators are reported, and a comparative analysis has also been conducted with traditional estimators. The theoretical findings are extended by a broad spectrum computational study using real and artificial data.http://dx.doi.org/10.1155/2023/8140831 |
| spellingShingle | Anoop Kumar Shashi Bhushan Shivam Shukla Walid Emam Yusra Tashkandy Rajesh Gupta Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators Journal of Mathematics |
| title | Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators |
| title_full | Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators |
| title_fullStr | Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators |
| title_full_unstemmed | Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators |
| title_short | Impact of Correlated Measurement Errors on Some Efficient Classes of Estimators |
| title_sort | impact of correlated measurement errors on some efficient classes of estimators |
| url | http://dx.doi.org/10.1155/2023/8140831 |
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