Regression Coefficient Derivation via Fractional Calculus Framework
This study focuses on deriving coefficients of a simple linear regression model and a quadratic regression model using fractional calculus. The work has proven that there is a smooth connection between fractional operators and classical operators. Moreover, it has also been shown that the least squa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1144296 |
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| _version_ | 1850165739766415360 |
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| author | Muath Awadalla Yves Yannick Yameni Noupoue Yucel Tandogdu Kinda Abuasbeh |
| author_facet | Muath Awadalla Yves Yannick Yameni Noupoue Yucel Tandogdu Kinda Abuasbeh |
| author_sort | Muath Awadalla |
| collection | DOAJ |
| description | This study focuses on deriving coefficients of a simple linear regression model and a quadratic regression model using fractional calculus. The work has proven that there is a smooth connection between fractional operators and classical operators. Moreover, it has also been shown that the least squares method is classically used to obtain coefficients of linear and quadratic models that are viewed as special cases of the more general fractional derivative approach which is proposed. |
| format | Article |
| id | doaj-art-e87cf03406224ffcbea91fcb953765e3 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e87cf03406224ffcbea91fcb953765e32025-08-20T02:21:38ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1144296Regression Coefficient Derivation via Fractional Calculus FrameworkMuath Awadalla0Yves Yannick Yameni Noupoue1Yucel Tandogdu2Kinda Abuasbeh3Department of Mathematics and StatisticsInstitute of Statistics, Biostatistics and Actuarial Sciences (ISBA)Department of MathematicsDepartment of Mathematics and StatisticsThis study focuses on deriving coefficients of a simple linear regression model and a quadratic regression model using fractional calculus. The work has proven that there is a smooth connection between fractional operators and classical operators. Moreover, it has also been shown that the least squares method is classically used to obtain coefficients of linear and quadratic models that are viewed as special cases of the more general fractional derivative approach which is proposed.http://dx.doi.org/10.1155/2022/1144296 |
| spellingShingle | Muath Awadalla Yves Yannick Yameni Noupoue Yucel Tandogdu Kinda Abuasbeh Regression Coefficient Derivation via Fractional Calculus Framework Journal of Mathematics |
| title | Regression Coefficient Derivation via Fractional Calculus Framework |
| title_full | Regression Coefficient Derivation via Fractional Calculus Framework |
| title_fullStr | Regression Coefficient Derivation via Fractional Calculus Framework |
| title_full_unstemmed | Regression Coefficient Derivation via Fractional Calculus Framework |
| title_short | Regression Coefficient Derivation via Fractional Calculus Framework |
| title_sort | regression coefficient derivation via fractional calculus framework |
| url | http://dx.doi.org/10.1155/2022/1144296 |
| work_keys_str_mv | AT muathawadalla regressioncoefficientderivationviafractionalcalculusframework AT yvesyannickyameninoupoue regressioncoefficientderivationviafractionalcalculusframework AT yuceltandogdu regressioncoefficientderivationviafractionalcalculusframework AT kindaabuasbeh regressioncoefficientderivationviafractionalcalculusframework |