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On the induced distribution of the shape of the projection of a randomly rotated configuration
Published online by Cambridge University Press: 01 July 2016
Abstract
Using the geometry of the Kendall shape space, in this paper we study the shape, as well as the size-and-shape, of the projection of a configuration after it has been rotated and, when the given configuration lies in a Euclidean space of an arbitrary dimension, we obtain expressions for the induced distributions of such shapes when the rotation is uniformly distributed.
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- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 2010
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