The development of the quaternion normal distribution

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dc.contributor.advisor Bekker, Andriette, 1958- en
dc.contributor.postgraduate Loots, Mattheus Theodor
dc.date.accessioned 2013-09-07T01:13:50Z
dc.date.available 2011-06-28 en
dc.date.available 2013-09-07T01:13:50Z
dc.date.created 2011-04-05 en
dc.date.issued 2011-06-28 en
dc.date.submitted 2011-06-27 en
dc.description Dissertation (MSc)--University of Pretoria, 2011. en
dc.description.abstract In this dissertation an overview on the real representation of quaternions in distribution theory is given. The density functions of the p-variate and matrix-variate quaternion normal distributions are derived from first principles, while that of the quaternion Wishart distribution is derived from the real associated Wishart distribution via the characteristic function. Applications of this theory in hypothesis testing is presented, and the density function of Wilks's statistic is derived for quaternion Wishart matrices. en
dc.description.availability unrestricted en
dc.description.department Statistics en
dc.identifier.citation Loots, MT 2011, The development of the quaternion normal distribution, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/25903 > en
dc.identifier.other E11/431/gm en
dc.identifier.upetdurl http://upetd.up.ac.za/thesis/available/etd-06272011-164137/ en
dc.identifier.uri http://hdl.handle.net/2263/25903
dc.language.iso en
dc.publisher University of Pretoria en_ZA
dc.rights © 2010, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. en
dc.subject Wilks's statistic en
dc.subject Quaternion wishart distribution en
dc.subject Real representation en
dc.subject Characteristic function en
dc.subject Quaternion matrix-variate beta type i distribution en
dc.subject Meijer's g-function en
dc.subject Quaternion normal distribution en
dc.subject UCTD en_US
dc.title The development of the quaternion normal distribution en
dc.type Dissertation en


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