A General Approach for Obtaining Wrapped Circular Distributions via Mixtures

S. Rao Jammalamadaka and Tomasz J. Kozubowski ()
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S. Rao Jammalamadaka: University of California
Tomasz J. Kozubowski: University of Nevada

Sankhya A: The Indian Journal of Statistics, 2017, vol. 79, issue 1, No 6, 133-157

Abstract: Abstract We show that the operations of mixing and wrapping linear distributions around a unit circle commute, and can produce a wide variety of circular models. In particular, we show that many wrapped circular models studied in the literature can be obtained as scale mixtures of just the wrapped Gaussian and the wrapped exponential distributions, and inherit many properties from these two basic models. We also point out how this general approach can produce flexible asymmetric circular models, the need for which has been noted by many authors.

Keywords: Circular data; Wrapped distributions; Mixtures; Wrapped normal; Wrapped exponential; Scale mixtures; Primary 62H11; Secondary 60E05; 62E10 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13171-017-0096-4

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