On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach
In the context of stratified sampling, we develop a nonparametric regression technique to estimating finite population quantiles in model-based frameworks using a multiplicative bias correction strategy. Furthermore, the proposed estimator’s asymptotic behavior is presented, and when certain conditi...
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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/10.1155/2022/4530489 |
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| _version_ | 1832554948194205696 |
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| author | Nicholas Makumi Romanus Odhiambo Otieno George Otieno Orwa Alexis Habineza |
| author_facet | Nicholas Makumi Romanus Odhiambo Otieno George Otieno Orwa Alexis Habineza |
| author_sort | Nicholas Makumi |
| collection | DOAJ |
| description | In the context of stratified sampling, we develop a nonparametric regression technique to estimating finite population quantiles in model-based frameworks using a multiplicative bias correction strategy. Furthermore, the proposed estimator’s asymptotic behavior is presented, and when certain conditions are met, the estimator is observed to be asymptotically unbiased and asymptotically consistent. Simulation studies were conducted to determine the proposed estimator’s performance for the three quartiles of two fictitious populations under varied distributional assumptions. Based on relative biases, mean-squared errors, and relative root-mean-squared errors, the proposed estimator can be extremely satisfactory, according to these findings. |
| format | Article |
| id | doaj-art-da70b9bb6eb04501aad09e2df72274f0 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-da70b9bb6eb04501aad09e2df72274f02025-02-03T05:50:03ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4530489On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction ApproachNicholas Makumi0Romanus Odhiambo Otieno1George Otieno Orwa2Alexis Habineza3Pan African UniversityMeru University of Science and TechnologyDepartment of Statistics and Actuarial SciencesPan African UniversityIn the context of stratified sampling, we develop a nonparametric regression technique to estimating finite population quantiles in model-based frameworks using a multiplicative bias correction strategy. Furthermore, the proposed estimator’s asymptotic behavior is presented, and when certain conditions are met, the estimator is observed to be asymptotically unbiased and asymptotically consistent. Simulation studies were conducted to determine the proposed estimator’s performance for the three quartiles of two fictitious populations under varied distributional assumptions. Based on relative biases, mean-squared errors, and relative root-mean-squared errors, the proposed estimator can be extremely satisfactory, according to these findings.http://dx.doi.org/10.1155/2022/4530489 |
| spellingShingle | Nicholas Makumi Romanus Odhiambo Otieno George Otieno Orwa Alexis Habineza On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach Journal of Mathematics |
| title | On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach |
| title_full | On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach |
| title_fullStr | On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach |
| title_full_unstemmed | On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach |
| title_short | On Quantiles Estimation Based on Stratified Sampling Using Multiplicative Bias Correction Approach |
| title_sort | on quantiles estimation based on stratified sampling using multiplicative bias correction approach |
| url | http://dx.doi.org/10.1155/2022/4530489 |
| work_keys_str_mv | AT nicholasmakumi onquantilesestimationbasedonstratifiedsamplingusingmultiplicativebiascorrectionapproach AT romanusodhiambootieno onquantilesestimationbasedonstratifiedsamplingusingmultiplicativebiascorrectionapproach AT georgeotienoorwa onquantilesestimationbasedonstratifiedsamplingusingmultiplicativebiascorrectionapproach AT alexishabineza onquantilesestimationbasedonstratifiedsamplingusingmultiplicativebiascorrectionapproach |