Geometry in statistics
Version of Record online: 24 SEP 2010
© 2010 John Wiley & Sons, Inc.
Wiley Interdisciplinary Reviews: Computational Statistics
Volume 2, Issue 6, pages 686–694, November/December 2010
How to Cite
Vos, P. W. and Marriott, P. (2010), Geometry in statistics. WIREs Comp Stat, 2: 686–694. doi: 10.1002/wics.128
- Issue online: 22 NOV 2010
- Version of Record online: 24 SEP 2010
- dual geometries;
- simplicial geometries;
- exponential families
Geometry is a broad area that has applications to many areas of statistics. In this article the focus will be on the role of dual information geometries to statistical inference. A great deal of research has been done in the application of these dual geometries to higher order asymptotics and a brief review is given. Greater attention is given to providing insight into dual geometries as extensions of Euclidean geometry, and how, a further extension, called the dual simplicial geometry, can provide a general framework for computational algorithms. WIREs Comp Stat 2010 2 686–694 DOI: 10.1002/wics.128
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