Ouyou toukeigaku
Online ISSN : 1883-8081
Print ISSN : 0285-0370
ISSN-L : 0285-0370
Contributed Paper
The Generalized t -Distribution on the Circle
Hai-Yen SiewShogo KatoKunio Shimizu
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JOURNAL OPEN ACCESS

2008 Volume 37 Issue 1 Pages 1-16

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Abstract
An extended version of t -distribution on the unit circle is generated by conditioning a normal mixture distribution, which is broadened to include not only unimodality and symmetry, but also bimodality and asymmetry, depending on the values of parameters. After reparametrization, the distribution contains four circular distributions as special cases: symmetric Jones-Pewsey, generalized von Mises, generalized cardioid and generalized wrapped Cauchy distributions. As an illustrative example, the proposed model is fitted to the number of occurrences of the thunder in a day.
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© 2008 Japanese Society of Applied Statistics
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