期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2017
卷号：79
期号：1
页码：133-157
DOI：10.1007/s13171-017-0096-4
语种：English
出版社：Indian Statistical Institute
摘要：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.
关键词：Circular data ; Wrapped distributions ; Mixtures ; Wrapped normal ; Wrapped exponential ; Scale mixtures
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