Title
Some computational aspects of the generalized von Mises distribution
Abstract
This article deals with some important computational aspects of the generalized von Mises distribution in relation with parameter estimation, model selection and simulation. The generalized von Mises distribution provides a flexible model for circular data allowing for symmetry, asymmetry, unimodality and bimodality. For this model, we show the equivalence between the trigonometric method of moments and the maximum likelihood estimators, we give their asymptotic distribution, we provide bias-corrected estimators of the entropy, the Akaike information criterion and the measured entropy for model selection, and we implement the ratio-of-uniforms method of simulation.
Year
DOI
Venue
2008
10.1007/s11222-008-9060-4
Statistics and Computing
Keywords
Field
DocType
Circular distribution,Akaike information criterion,Efficient score,Entropy,Fisher information,Fourier series,Kullback-Leibler information,Maximum likelihood estimator,Mixture distribution,Ratio-of-uniforms method,Trigonometric method of moments estimator
Unimodality,Mathematical optimization,Akaike information criterion,Cramér–von Mises criterion,von Mises distribution,Model selection,V-statistic,Statistics,Mathematics,Asymptotic distribution,Maximum entropy probability distribution
Journal
Volume
Issue
ISSN
18
3
0960-3174
Citations 
PageRank 
References 
4
0.97
0
Authors
1
Name
Order
Citations
PageRank
Riccardo Gatto1125.65