Chaubey, Yogendra P. 
ORCID: https://orcid.org/0000-0002-0234-1429
(2016)
Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle.
Technical Report.
Concordia Uiverisity. Department of Mathematics & Statistics, Montreal, Quebec.
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Abstract
In this note we provide a simple approximation theory motivation for the circular kernel density estimation and further explore the usefulness of the wrapped Cauchy kernel in this context. It is seen that the wrapped Cauchy kernel appears as a natural candidate in connection to orthogonal series density estimation on a unit circle. This adds further weight to the considerable role of the wrapped Cauchy in circular statistics.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Monograph (Technical Report) |
| Authors: | Chaubey, Yogendra P. |
| Series Name: | Department of Mathematics & Statistics, Technical Report 1/16 |
| Corporate Authors: | Concordia Uiverisity. Department of Mathematics & Statistics |
| Institution: | Concordia University |
| Date: | 1 January 2016 |
| Funders: |
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| Keywords: | Circular kernel density estimator, Orthogonal series density. |
| ID Code: | 983834 |
| Deposited By: | Yogen Chaubey |
| Deposited On: | 07 May 2018 13:27 |
| Last Modified: | 07 May 2018 13:28 |
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