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Size-and-shape distributions for paired landmark data

Part of: Multivariate analysis Distribution theory

Published online by Cambridge University Press:  01 July 2016

K. V. Mardia  and
A. N. Walder
K. V. Mardia*
Affiliation:
University of Leeds
A. N. Walder*
Affiliation:
University of Leeds
*
* Postal address: Department of Statistics, University of Leeds, Leeds LS2 9JT, UK.
* Postal address: Department of Statistics, University of Leeds, Leeds LS2 9JT, UK.
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Abstract

In this paper we study the distribution associated with paired size-and-shape for two sets of correlated points having an underlying Gaussian distribution in the plane. This extends work previously done just for paired shape. Special cases are studied, and various properties described. In addition we give further results for the paired shape density.

Keywords

COMPLEX NORMALKENDALL'S SHAPE VARIABLESPAIRED SHAPESIZEPAIRED SIZE-AND-SHAPE

MSC classification

Primary: 62H10: Distribution of statistics
Secondary: 62H11: Directional data; spatial statistics 62E15: Exact distribution theory 62E17: Approximations to distributions (nonasymptotic)

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 26 , Issue 4 , December 1994 , pp. 893 - 905
Copyright
Copyright © Applied Probability Trust 1994 

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References

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