Abstract
It is well known that the generation of random vectors with non-independent components is difficult. Nevertheless, we propose a new and very simple generation algorithm for multivariate linear densities over point-symmetric domains. Among other applications it can be used to design a simple decomposition-rejection algorithm for multivariate concave distributions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahrens, J. H. 1993. Sampling from general distributions by suboptimal division of domains. Grazer Math. Berichte 319.
Devroye, L. 1986. Non-Uniform Random Variate Generation. New York: Springer-Verlag.
Hörmann, W., and J. Leydold. 2005. Monte Carlo integration using importance sampling and Gibbs sampling. In Proceedings of the International Conference on Computational Science and Engineering, eds. H. Dag and Y. Deng, pp. 92–97.
Hörmann, W., J. Leydold, and G. Derflinger. 2004. Automatic Nonuniform Random Variate Generation. Berlin Heidelberg: Springer-Verlag.
Jadach, S. 2003. Foam: a general-purpose cellular Monte Carlo event generator. Computer Physics Communications 152:55–100.
Karawatzki, R. 2006. The multivariate Ahrens sampling method. Technical Report 30, Department of Statistics and Mathematics, WU Wien. http://epub.wu-wien.ac.at/.
Lepage, G. P. 1978. A new algorithm for adaptive multidimensional integration. Journal of Computational Physics 27(2):192–203.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag US
About this chapter
Cite this chapter
Hörmann, W., Leydold, J. (2009). Sampling from Linear Multivariate Densities. In: Alexopoulos, C., Goldsman, D., Wilson, J. (eds) Advancing the Frontiers of Simulation. International Series in Operations Research & Management Science, vol 133. Springer, Boston, MA. https://doi.org/10.1007/b110059_7
Download citation
DOI: https://doi.org/10.1007/b110059_7
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-0816-2
Online ISBN: 978-1-4419-0817-9
eBook Packages: Business and EconomicsBusiness and Management (R0)