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.
|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|
|Publisher:||Statistical Society of Canada|