Sampling from compositional and directional distributions

Statistics and Computing

Volumn 16, Issue 3, 2006, Pages 261-265

  Kume, Alfred ^a   Walker, Stephen G ^a  

^a UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Bingham distribution; Directional statistics; Gibbs sampling; Population genetics

Indexed keywords

EID: 33745603719     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-006-8077-9     Document Type: Article

References (7)

1. Barndorff-Nielsen O. E. and Jorgensen B. 1991. Some parametric models on the simplex. Journal of the Multivariate Analysis 39: 109-116.
2. Damien P., Wakefield J. C. and Walker S. G. 1999. Gibbs sampling for Bayesian non-conjugate and hierarchical models by using auxiliary variables. Journal of the Royal Statistical Society B 61: 331-344.
3. Fearnhead P. and Meligkotsidou L. 2004. Exact filtering for partially observed continuous time models. Journal of the Royal Statistical Society B 66: 771-790.
4. Kent J. T. 1994. The complex Bingham distribution and shape analysis. Journal of the Royal Statistical Society B 56: 285-299.
5. Kent J. T., Constable P. D. L. and Er F. 2004. Simulation for the complex bingham distribution. Statistics and Computing 14: 53-57.
6. Sivazlian B. D. 1981. On a multivariate extension of the gamma and beta distributions. SIAM J. Appl. Math. 41: 205-209.
7. Wright S. 1949. Adaption and selection. In Genetics, Paleontology and Evolution, Jepson G. L., Simpson G. G. and Mayr E. (eds), Princeton University Press, Princeton, pp. 365-389.