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A Möbius transformation-induced distribution on the torus.
- Source :
-
Biometrika . Jun2015, Vol. 102 Issue 2, p359-370. 12p. - Publication Year :
- 2015
-
Abstract
- We propose a five-parameter bivariate wrapped Cauchy distribution as a unimodal model for toroidal data. It is highly tractable, displays numerous desirable properties, including marginal and conditional distributions that are all wrapped Cauchy, and arises as an appealing submodel of a six-parameter distribution obtained by applying Möbius transformation to a pre-existing bivariate circular model. Method of moments and maximum likelihood estimation of its parameters are fast, and tests for independence and goodness-of-fit are available. An analysis involving dihedral angles of the proteinogenic amino acid Tyrosine illustrates the distribution's application. A Markov process for circular data is also explored. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00063444
- Volume :
- 102
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Biometrika
- Publication Type :
- Academic Journal
- Accession number :
- 109952423
- Full Text :
- https://doi.org/10.1093/biomet/asv003