Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute
The study aims to estimate the average water level of a river using an auxiliary attribute under a predictive approach. As the average water level varies in different seasons, the study considers the average water level as a study variable and the season an auxiliary attribute. A real data set of th...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024172374 |
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| author | Muhammad Rafaqat Hina Khan |
| author_facet | Muhammad Rafaqat Hina Khan |
| author_sort | Muhammad Rafaqat |
| collection | DOAJ |
| description | The study aims to estimate the average water level of a river using an auxiliary attribute under a predictive approach. As the average water level varies in different seasons, the study considers the average water level as a study variable and the season an auxiliary attribute. A real data set of the water level of the Jhelum River at Mangla is obtained. As we found a positive correlation between the average water level and the season, we have suggested some ratio-type predictive estimators for estimating the average water level. The mean square errors (MSE) and bias of the suggested estimators are obtained using the MSE and bias of the corresponding conventional (design-based) estimators. The performance of the proposed predictive estimators, relative to their related existing estimators, has been studied, and improved performance has been established. |
| format | Article |
| id | doaj-art-ae2f1e4ebb884e64924c9f86b8521b00 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-ae2f1e4ebb884e64924c9f86b8521b002025-01-17T04:50:31ZengElsevierHeliyon2405-84402025-01-01111e41206Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attributeMuhammad Rafaqat0Hina Khan1Department of Statistics, Government College (GC) University, Lahore, Pakistan; Department of Statistics, Mirpur University of Science and Technology (MUST), Mirpur, AJK, PakistanDepartment of Statistics, Government College (GC) University, Lahore, Pakistan; Corresponding author.The study aims to estimate the average water level of a river using an auxiliary attribute under a predictive approach. As the average water level varies in different seasons, the study considers the average water level as a study variable and the season an auxiliary attribute. A real data set of the water level of the Jhelum River at Mangla is obtained. As we found a positive correlation between the average water level and the season, we have suggested some ratio-type predictive estimators for estimating the average water level. The mean square errors (MSE) and bias of the suggested estimators are obtained using the MSE and bias of the corresponding conventional (design-based) estimators. The performance of the proposed predictive estimators, relative to their related existing estimators, has been studied, and improved performance has been established.http://www.sciencedirect.com/science/article/pii/S2405844024172374Predictive approachStudy variableAuxiliary attributeBiasMean square errorEfficiency |
| spellingShingle | Muhammad Rafaqat Hina Khan Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute Heliyon Predictive approach Study variable Auxiliary attribute Bias Mean square error Efficiency |
| title | Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| title_full | Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| title_fullStr | Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| title_full_unstemmed | Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| title_short | Some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| title_sort | some ratio type predictive estimators for estimation of the average water level of a river using season as an auxiliary attribute |
| topic | Predictive approach Study variable Auxiliary attribute Bias Mean square error Efficiency |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024172374 |
| work_keys_str_mv | AT muhammadrafaqat someratiotypepredictiveestimatorsforestimationoftheaveragewaterlevelofariverusingseasonasanauxiliaryattribute AT hinakhan someratiotypepredictiveestimatorsforestimationoftheaveragewaterlevelofariverusingseasonasanauxiliaryattribute |