Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space
The problem in nonparametric estimation of finite population total particularly when dealing with high-dimensional datasets is addressed in this paper. The coverage properties of a robust finite population total estimator based on a feedforward backpropagation neural network developed with the help...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2431308 |
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| author | Festus A. Were George O. Orwa Romanus O. Otieno Nicholas Makumi Ramy Aldallal |
| author_facet | Festus A. Were George O. Orwa Romanus O. Otieno Nicholas Makumi Ramy Aldallal |
| author_sort | Festus A. Were |
| collection | DOAJ |
| description | The problem in nonparametric estimation of finite population total particularly when dealing with high-dimensional datasets is addressed in this paper. The coverage properties of a robust finite population total estimator based on a feedforward backpropagation neural network developed with the help of a superpopulation model are computed, and a comparison with existing model-based estimators that can handle high-dimensional datasets is conducted to evaluate the estimator’s performance using simulated datasets. The results presented in this paper show good performance in terms of bias, MSE, and mean absolute error for the feedforward backpropagation neural network estimator as compared to other identified existing estimators of finite population total in high-dimensional datasets. In this regard, the paper recommends the use of the proposed estimator in estimating population parameters such as population total in the presence of high-dimensional datasets. |
| format | Article |
| id | doaj-art-05ee5627b37746d8bdb67e0753dad1f7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-05ee5627b37746d8bdb67e0753dad1f72025-02-03T05:57:28ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2431308Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional SpaceFestus A. Were0George O. Orwa1Romanus O. Otieno2Nicholas Makumi3Ramy Aldallal4Department of Statistics and Actuarial SciencesDepartment of Statistics and Actuarial SciencesDepartment of Statistics and Actuarial SciencesDepartment of Statistics and Actuarial SciencesCollege of Business Administration in Hotat bani TamimThe problem in nonparametric estimation of finite population total particularly when dealing with high-dimensional datasets is addressed in this paper. The coverage properties of a robust finite population total estimator based on a feedforward backpropagation neural network developed with the help of a superpopulation model are computed, and a comparison with existing model-based estimators that can handle high-dimensional datasets is conducted to evaluate the estimator’s performance using simulated datasets. The results presented in this paper show good performance in terms of bias, MSE, and mean absolute error for the feedforward backpropagation neural network estimator as compared to other identified existing estimators of finite population total in high-dimensional datasets. In this regard, the paper recommends the use of the proposed estimator in estimating population parameters such as population total in the presence of high-dimensional datasets.http://dx.doi.org/10.1155/2022/2431308 |
| spellingShingle | Festus A. Were George O. Orwa Romanus O. Otieno Nicholas Makumi Ramy Aldallal Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space Journal of Mathematics |
| title | Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space |
| title_full | Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space |
| title_fullStr | Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space |
| title_full_unstemmed | Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space |
| title_short | Coverage Properties of a Neural Network Estimator of Finite Population Total in High-Dimensional Space |
| title_sort | coverage properties of a neural network estimator of finite population total in high dimensional space |
| url | http://dx.doi.org/10.1155/2022/2431308 |
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