Chaubey, Yogendra P. 
ORCID: https://orcid.org/0000-0002-0234-1429
(2018)
Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle.
Journal of Probability and Statistics, 2018
.
pp. 1-4.
ISSN 1687-952X
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Official URL: http://dx.doi.org/10.1155/2018/5372803
Abstract
The circular kernel density estimator, with the wrapped Cauchy kernel, is derived from the empirical version of Carathéodory function that is used in the literature on orthogonal polynomials on the unit circle. An equivalence between the resulting circular kernel density estimator, to Fourier series density estimator, has also been established. This adds further weight to the considerable role of the wrapped Cauchy distribution in circular statistics.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Article |
| Refereed: | Yes |
| Authors: | Chaubey, Yogendra P. |
| Journal or Publication: | Journal of Probability and Statistics |
| Date: | 2018 |
| Funders: |
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| Digital Object Identifier (DOI): | 10.1155/2018/5372803 |
| Keywords: | Article ID: 5372803, |
| ID Code: | 983779 |
| Deposited By: | Danielle Dennie |
| Deposited On: | 18 Apr 2018 18:25 |
| Last Modified: | 18 Apr 2018 18:25 |
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