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A Multivariate von Mises Distribution with Applications to Bioinformatics

Mardia, KV, Hughes, G, Taylor, CC and Singh, H (2008) A Multivariate von Mises Distribution with Applications to Bioinformatics. Canadian Journal of Statistics, 36 (1). 99 - 109 . ISSN 0319-5724


Motivated by problems of modelling torsional angles in molecules, Singh, Hnizdo & Demchuk (2002) proposed a bivariate circular model which is a natural torus analogue of the bivariate normal distribution and a natural extension of the univariate von Mises distribution to the bivariate case. The authors present here a multivariate extension of the bivariate model of Singh, Hnizdo & Demchuk (2002). They study the conditional distributions and investigate the shapes of marginal distributions for a special case. The methods of moments and pseudo-likelihood are considered for the estimation of parameters of the new distribution. The authors investigate the efficiency of the pseudo-likelihood approach in three dimensions. They illustrate their methods with protein data of conformational angles.

Item Type: Article
Keywords: bioinformatics
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 27 Jun 2011 13:35
Last Modified: 15 Sep 2014 04:00
Published Version: http://dx.doi.org/10.1002/cjs.5550360110
Status: Published
Publisher: Statistical Society of Canada
Identification Number: 10.1002/cjs.5550360110
URI: http://eprints.whiterose.ac.uk/id/eprint/42951

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