Calibration under measurement errors
The calibration technique is the process of adjusting weights for the better enhancement of the estimate of the population parameters using auxiliary information. In this manuscript, we have proposed ratio and regression type calibration estimators for the population mean under both correlated and u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-10-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364720302275 |
| _version_ | 1828406395431550976 |
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| author | Gajendra K. Vishwakarma Abhishek Singh Neha Singh |
| author_facet | Gajendra K. Vishwakarma Abhishek Singh Neha Singh |
| author_sort | Gajendra K. Vishwakarma |
| collection | DOAJ |
| description | The calibration technique is the process of adjusting weights for the better enhancement of the estimate of the population parameters using auxiliary information. In this manuscript, we have proposed ratio and regression type calibration estimators for the population mean under both correlated and uncorrelated measurement errors. The variances of the proposed calibrated estimators to the first order approximation are obtained and compared their efficiencies. A Monte Carlo simulation study has been carried out to show the effect of measurement errors on the proposed calibrated estimators. |
| first_indexed | 2024-12-10T11:10:13Z |
| format | Article |
| id | doaj.art-fcef362841f24d01929bc374845169d2 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-10T11:10:13Z |
| publishDate | 2020-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-fcef362841f24d01929bc374845169d22022-12-22T01:51:26ZengElsevierJournal of King Saud University: Science1018-36472020-10-0132729502961Calibration under measurement errorsGajendra K. Vishwakarma0Abhishek Singh1Neha Singh2Corresponding author.; Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad 826004, Jharkhand, IndiaDepartment of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad 826004, Jharkhand, IndiaDepartment of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad 826004, Jharkhand, IndiaThe calibration technique is the process of adjusting weights for the better enhancement of the estimate of the population parameters using auxiliary information. In this manuscript, we have proposed ratio and regression type calibration estimators for the population mean under both correlated and uncorrelated measurement errors. The variances of the proposed calibrated estimators to the first order approximation are obtained and compared their efficiencies. A Monte Carlo simulation study has been carried out to show the effect of measurement errors on the proposed calibrated estimators.http://www.sciencedirect.com/science/article/pii/S1018364720302275Calibration estimationMeasurement errorsMonte Carlo |
| spellingShingle | Gajendra K. Vishwakarma Abhishek Singh Neha Singh Calibration under measurement errors Journal of King Saud University: Science Calibration estimation Measurement errors Monte Carlo |
| title | Calibration under measurement errors |
| title_full | Calibration under measurement errors |
| title_fullStr | Calibration under measurement errors |
| title_full_unstemmed | Calibration under measurement errors |
| title_short | Calibration under measurement errors |
| title_sort | calibration under measurement errors |
| topic | Calibration estimation Measurement errors Monte Carlo |
| url | http://www.sciencedirect.com/science/article/pii/S1018364720302275 |
| work_keys_str_mv | AT gajendrakvishwakarma calibrationundermeasurementerrors AT abhisheksingh calibrationundermeasurementerrors AT nehasingh calibrationundermeasurementerrors |