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Mixtures of concentrated multivariate sine distributions with applications to bioinformatics

Author

Listed:
  • Kanti V. Mardia
  • John T. Kent
  • Zhengzheng Zhang
  • Charles C. Taylor
  • Thomas Hamelryck

Abstract

Motivated by examples in protein bioinformatics, we study a mixture model of multivariate angular distributions. The distribution treated here (multivariate sine distribution) is a multivariate extension of the well-known von Mises distribution on the circle. The density of the sine distribution has an intractable normalizing constant and here we propose to replace it in the concentrated case by a simple approximation. We study the EM algorithm for this distribution and apply it to a practical example from protein bioinformatics.

Suggested Citation

  • Kanti V. Mardia & John T. Kent & Zhengzheng Zhang & Charles C. Taylor & Thomas Hamelryck, 2012. "Mixtures of concentrated multivariate sine distributions with applications to bioinformatics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(11), pages 2475-2492, August.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:11:p:2475-2492
    DOI: 10.1080/02664763.2012.719221
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    Cited by:

    1. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.

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