Periodic Splinets
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| Title: | Periodic Splinets |
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| Authors: | Nassar, Hiba, Podgórski, Krzysztof |
| Contributors: | Lund University, Lund University School of Economics and Management, LUSEM, Department of Statistics, Lunds universitet, Ekonomihögskolan, Statistiska institutionen, Originator |
| Source: | Communications in Statistics: Simulation and Computation. :1-16 |
| Subject Terms: | Natural Sciences, Mathematical Sciences, Probability Theory and Statistics, Naturvetenskap, Matematik, Sannolikhetsteori och statistik |
| Description: | Periodic splines represent a specific category of splines, defined across a series of knots on a circle, making them particularly suitable for addressing interpolation challenges associated with closed curves and representing functions defined on a circle. Although the term ‘periodic’ suggests temporal context, the periodic splines can represent any data that have a circle as their domain. This paper introduces a method for implementing objects that represent such splines and outlines the derivation of an efficient orthogonal basis. The newly proposed orthonormalized basis, referred to as a periodic splinet, builds upon concepts and tools previously introduced for interval-based splines. Employing this methodology, periodic splines and splinets have been integrated into an updated version of the R package, Splinets 1.5.0. Additionally, the computational tools developed in this study have been applied to the functional analysis of a prototypical example of circular functional data, namely wind direction and speeds. |
| Access URL: | https://doi.org/10.1080/03610918.2024.2443782 |
| Database: | SwePub |
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Nájsť tento článok vo Web of Science | Abstract: | Periodic splines represent a specific category of splines, defined across a series of knots on a circle, making them particularly suitable for addressing interpolation challenges associated with closed curves and representing functions defined on a circle. Although the term ‘periodic’ suggests temporal context, the periodic splines can represent any data that have a circle as their domain. This paper introduces a method for implementing objects that represent such splines and outlines the derivation of an efficient orthogonal basis. The newly proposed orthonormalized basis, referred to as a periodic splinet, builds upon concepts and tools previously introduced for interval-based splines. Employing this methodology, periodic splines and splinets have been integrated into an updated version of the R package, Splinets 1.5.0. Additionally, the computational tools developed in this study have been applied to the functional analysis of a prototypical example of circular functional data, namely wind direction and speeds. |
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| ISSN: | 03610918 15324141 |
| DOI: | 10.1080/03610918.2024.2443782 |