×

Identifiability of finite mixtures – with applications to circular distributions. (English) Zbl 1192.62144

Summary: A general result about identifiability and strong identifiability of finite mixtures of a family of distributions is obtained via tail conditions on the corresponding characteristic functions. This is applied to location-scale families on the real line and to circular distributions. Particular cases include circular wrapped distributions of location-scale families, stable distributions and the \(d\)-dimensional wrapped normal distribution. Finally, counter examples are given which highlight differences between identifiability on the real line and on the circle.

MSC:

62H11 Directional data; spatial statistics
62E15 Exact distribution theory in statistics
60E07 Infinitely divisible distributions; stable distributions

Software:

CircStats; circular
PDF BibTeX XML Cite