Kent, JT orcid.org/0000-0002-1861-8349, Hussein, I and Jah, MK (2016) Directional Distributions in Tracking of Space Debris. In: 2016 19th International Conference on Information Fusion Proceedings. 2016 19th International Conference on Information Fusion (FUSION), 05-08 Jul 2016, Heidelberg, Germany. International Society of Information Fusion , pp. 2081-2087. ISBN 978-0-9964-5274-8
Abstract
Directional distributions play an important role in describing uncertainty in spherical coordinates. A review is given of some standard distributions on the sphere which arise as special cases of the Fisher-Bingham distribution. A new distribution, called the “extreme FB5” istribution, is introduced to describe semi-concentrated behavior on the sphere, that is, patterns of data that are unimodal and concentrated near a great circle. This behavior is particularly relevant to tracking problems. Properties of the new distribution are discussed and methods are given for simulation and estimation. Two simple error propagation illustrations are given to demonstrate the usefulness of the new model.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 ISIF. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the ISIF. |
Keywords: | Space vehicles; Uncertainty; Covariance matrices; Gaussian distribution; Maximum likelihood estimation; Space debris |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Funding Information: | Funder Grant number Air Force Research Lab Munitions Directorate FA9550-16-1-0099 |
Depositing User: | Symplectic Publications |
Date Deposited: | 01 Sep 2016 10:50 |
Last Modified: | 17 Jan 2018 11:49 |
Published Version: | http://ieeexplore.ieee.org/document/7528139/ |
Status: | Published |
Publisher: | International Society of Information Fusion |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104151 |