Segmented Regression Based on B-Splines with Solved Examples
The subject of the paper is segmented linear, quadratic, and cubic regression based on B-spline basis functions. In this article we expose the formulas for the computation of B-splines of order one, two, and three that is needed to construct linear, quadratic, and cubic regression. We list some inte...
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| Format: | Article |
| Language: | English |
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Czech Statistical Office
2015-12-01
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| Series: | Statistika: Statistics and Economy Journal |
| Subjects: | |
| Online Access: | https://www.czso.cz/documents/10180/20550319/32019715q4047.pdf/f23fb21b-b52b-4666-886a-fe245bdc27b9?version=1.0 |
| _version_ | 1819032576077070336 |
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| author | Miloš Kaňka |
| author_facet | Miloš Kaňka |
| author_sort | Miloš Kaňka |
| collection | DOAJ |
| description | The subject of the paper is segmented linear, quadratic, and cubic regression based on B-spline basis functions. In this article we expose the formulas for the computation of B-splines of order one, two, and three that is needed to construct linear, quadratic, and cubic regression. We list some interesting properties of these functions. For a clearer understanding we give the solutions of a couple of elementary exercises regarding these functions. |
| first_indexed | 2024-12-21T07:04:08Z |
| format | Article |
| id | doaj.art-20899335049e4f1f84c0ace3ca7b3d0a |
| institution | Directory Open Access Journal |
| issn | 0322-788X 1804-8765 |
| language | English |
| last_indexed | 2024-12-21T07:04:08Z |
| publishDate | 2015-12-01 |
| publisher | Czech Statistical Office |
| record_format | Article |
| series | Statistika: Statistics and Economy Journal |
| spelling | doaj.art-20899335049e4f1f84c0ace3ca7b3d0a2022-12-21T19:12:09ZengCzech Statistical OfficeStatistika: Statistics and Economy Journal0322-788X1804-87652015-12-019544766Segmented Regression Based on B-Splines with Solved ExamplesMiloš Kaňka0University of Economics, Prague, Czech RepublicThe subject of the paper is segmented linear, quadratic, and cubic regression based on B-spline basis functions. In this article we expose the formulas for the computation of B-splines of order one, two, and three that is needed to construct linear, quadratic, and cubic regression. We list some interesting properties of these functions. For a clearer understanding we give the solutions of a couple of elementary exercises regarding these functions.https://www.czso.cz/documents/10180/20550319/32019715q4047.pdf/f23fb21b-b52b-4666-886a-fe245bdc27b9?version=1.0Normalized B-spline basis functionsexplicit expressionsystem of normal equationsWeibull plotBairstow’s iteration method |
| spellingShingle | Miloš Kaňka Segmented Regression Based on B-Splines with Solved Examples Statistika: Statistics and Economy Journal Normalized B-spline basis functions explicit expression system of normal equations Weibull plot Bairstow’s iteration method |
| title | Segmented Regression Based on B-Splines with Solved Examples |
| title_full | Segmented Regression Based on B-Splines with Solved Examples |
| title_fullStr | Segmented Regression Based on B-Splines with Solved Examples |
| title_full_unstemmed | Segmented Regression Based on B-Splines with Solved Examples |
| title_short | Segmented Regression Based on B-Splines with Solved Examples |
| title_sort | segmented regression based on b splines with solved examples |
| topic | Normalized B-spline basis functions explicit expression system of normal equations Weibull plot Bairstow’s iteration method |
| url | https://www.czso.cz/documents/10180/20550319/32019715q4047.pdf/f23fb21b-b52b-4666-886a-fe245bdc27b9?version=1.0 |
| work_keys_str_mv | AT miloskanka segmentedregressionbasedonbsplineswithsolvedexamples |