On Fréchet means in simplex shape spaces-Reference-Cited by-同舟云学术

On Fréchet means in simplex shape spaces

Published:2003-12 Issue:4 Volume:35 Page:885-897
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Kume Alfred,Le Huiling

Abstract

By making use of the geometric properties of simplex shape spaces, this paper investigates the problems relating to the estimation of the Fréchet means of the random shapes of simplices in Euclidean spaces and also, for the random shapes induced by certain normally distributed simplices, the problems relating to the location of these Fréchet means. In particular, we obtain an algorithm for computing sample mean shapes in simplex shape spaces which converges reasonably fast.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference14 articles.

1. ON SIMPLEX SHAPE SPACES

2. The Statistical Theory of Shape

3. The noncentral Bartlett decompositions and shape densities

4. The Fréchet mean shape and the shape of the means

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