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Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-01
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chaubey, Yogendra P.. 2018. Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle. Journal of Probability and Statistics،Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1197691
Modern Language Association (MLA)
Chaubey, Yogendra P.. Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle. Journal of Probability and Statistics No. 2018 (2018), pp.1-4.
https://search.emarefa.net/detail/BIM-1197691
American Medical Association (AMA)
Chaubey, Yogendra P.. Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle. Journal of Probability and Statistics. 2018. Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1197691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197691