A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions

A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions

This paper aims to describe a statistical model of wrapped densities for bi-invariant statistics on the group of rigid motions of a Euclidean space. Probability distributions on the group are constructed from distributions on tangent spaces and pushed to the group by the exponential map. We provide...

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Bibliographic Details
Main Authors: Emmanuel Chevallier, Nicolas Guigui
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Entropy
Subjects:
wrapped distributions
rigid motions
Euclidean groups
differential of the exponential
moment-matching estimator
density estimation
Online Access:https://www.mdpi.com/1099-4300/22/4/432

Internet

https://www.mdpi.com/1099-4300/22/4/432

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