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:: Volume 8, Issue 1 (9-2014) ::
JSS 2014, 8(1): 111-127 Back to browse issues page
Properties of Statistical Distribution for Dihedral Angles
Anahita Nodehi , Mousa Golalizadeh *
Abstract:   (14626 Views)
Bivariate Von Mises distribution, which behaves relatively similar to bivariate normal distributions, has been proposed for representing the simultaneously probabilistic variability of these angles. One of the remarkable properties of this distribution is having the univariate Von Mises as the conditional density. However, the marginal density takes various structures depend on its involved parameters and, in general, has no closed form. This issue encounters the statistical inference with particular problems. In this paper, this distribution and its properties are studied, then the procedure to sample via the acceptance-rejection algorithm is described. The problems encountered in choosing a proper candidate distribution, arising from the cyclic feature of both angles, is investigated and the properties of its conditional density is utilized to overcome this obstacle.
Keywords: Circular Statistics, Von Mises Distribution, Dihedral Angles, Torus, Acceptance-Rejection Algorithm
Full-Text [PDF 983 kb]   (3533 Downloads)    
Type of Study: Applied | Subject: Statistical Inference
Received: 2013/11/10 | Accepted: 2014/07/16 | Published: 2014/07/16
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Nodehi A, Golalizadeh M. Properties of Statistical Distribution for Dihedral Angles. JSS 2014; 8 (1) :111-127
URL: http://jss.irstat.ir/article-1-253-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 8, Issue 1 (9-2014) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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