Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values
This article developed an estimator for finite population mean under probability-proportional-to-size sampling in the presence of extreme values. Theoretical properties such as bias, variance, and consistency are derived. Monte Carlo simulations were performed to assess the consistency and efficienc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2023/3064736 |
| _version_ | 1797787408021848064 |
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| author | Richard Ayinzoya Dioggban Jakperik |
| author_facet | Richard Ayinzoya Dioggban Jakperik |
| author_sort | Richard Ayinzoya |
| collection | DOAJ |
| description | This article developed an estimator for finite population mean under probability-proportional-to-size sampling in the presence of extreme values. Theoretical properties such as bias, variance, and consistency are derived. Monte Carlo simulations were performed to assess the consistency and efficiency of the proposed estimator. It is found that the proposed estimator is more efficient than the competing estimators for all values of c between 0 and 1. The gain in precision of the proposed estimator is much higher than that of its competitors for small values of c. Empirical applications of the proposed estimator are illustrated using three real data sets, and the results revealed that the proposed estimator performed better than the conventional and Sarndal (1972) estimators. |
| first_indexed | 2024-03-13T01:21:31Z |
| format | Article |
| id | doaj.art-8ca68a9e354c4e33b87cfb3107047209 |
| institution | Directory Open Access Journal |
| issn | 1687-0425 |
| language | English |
| last_indexed | 2024-03-13T01:21:31Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj.art-8ca68a9e354c4e33b87cfb31070472092023-07-05T00:00:06ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/3064736Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme ValuesRichard Ayinzoya0Dioggban Jakperik1Department of Statistics and Actuarial ScienceDepartment of BiometryThis article developed an estimator for finite population mean under probability-proportional-to-size sampling in the presence of extreme values. Theoretical properties such as bias, variance, and consistency are derived. Monte Carlo simulations were performed to assess the consistency and efficiency of the proposed estimator. It is found that the proposed estimator is more efficient than the competing estimators for all values of c between 0 and 1. The gain in precision of the proposed estimator is much higher than that of its competitors for small values of c. Empirical applications of the proposed estimator are illustrated using three real data sets, and the results revealed that the proposed estimator performed better than the conventional and Sarndal (1972) estimators.http://dx.doi.org/10.1155/2023/3064736 |
| spellingShingle | Richard Ayinzoya Dioggban Jakperik Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values International Journal of Mathematics and Mathematical Sciences |
| title | Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values |
| title_full | Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values |
| title_fullStr | Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values |
| title_full_unstemmed | Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values |
| title_short | Estimation of Finite Population Mean under Probability-Proportional-to-Size Sampling in the Presence of Extreme Values |
| title_sort | estimation of finite population mean under probability proportional to size sampling in the presence of extreme values |
| url | http://dx.doi.org/10.1155/2023/3064736 |
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