A mixture of generalized hyperbolic distributions

We introduce a mixture of generalized hyperbolic distributions as an alternative to the ubiquitous mixture of Gaussian distributions as well as their near relatives within which the mixture of multivariate t‐distributions and the mixture of skew‐t distributions predominate. The mathematical development of our mixture of generalized hyperbolic distributions model relies on its relationship with the generalized inverse Gaussian distribution. The latter is reviewed before our mixture models are presented along with details of the aforesaid reliance. Parameter estimation is outlined within the expectation–maximization framework before the clustering performance of our mixture models is illustrated via applications on simulated and real data. In particular, the ability of our models to recover parameters for data from underlying Gaussian and skew‐t distributions is demonstrated. Finally, the role of generalized hyperbolic mixtures within the wider model‐based clustering, classification, and density estimation literature is discussed. The Canadian Journal of Statistics 43: 176–198; 2015 © 2015 Statistical Society of Canada

• Publication year

  2013

• Venue

  Canadian Journal of Statistics

• Publication date

  2013-05-05

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1002/cjs.11246arXiv 1305.1036
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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