Mardia, KV, Hughes, G, Taylor, CC et al. (1 more author) (2008) A Multivariate von Mises Distribution with Applications to Bioinformatics. Canadian Journal of Statistics, 36 (1). 99 - 109 . ISSN 0319-5724
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | bioinformatics |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Jun 2011 13:35 |
Last Modified: | 04 Nov 2016 03:41 |
Published Version: | http://dx.doi.org/10.1002/cjs.5550360110 |
Status: | Published |
Publisher: | Statistical Society of Canada |
Identification Number: | 10.1002/cjs.5550360110 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:42951 |