The distribution of the complex rectangular co-ordinates and its applications

Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplifie...

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Bibliographic Details
Main Author:	Dines, Malcolm
Other Authors:	Troskie, Casper G
Format:	Dissertation
Language:	English
Published:	University of Cape Town 2016
Subjects:	Statistics and Operations Research
Online Access:	http://hdl.handle.net/11427/22170

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spelling	ndltd-netd.ac.za-oai-union.ndltd.org-uct-oai-localhost-11427-221702020-10-06T05:11:36Z The distribution of the complex rectangular co-ordinates and its applications Dines, Malcolm Troskie, Casper G Statistics and Operations Research Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplified method of deriving the distribution of the complex rectangular co-ordinates. From this distribution the complex Hishart distribution will be derived as an application. Some properties of the distribution of the complex rectangular coordinates will be given. In addition some applications and in particular the application of the distribution in the derivation of the distribution of the "complex" generalized variance will also be given. 2016-10-18T11:31:23Z 2016-10-18T11:31:23Z 1967 Master Thesis Masters MSc http://hdl.handle.net/11427/22170 eng application/pdf University of Cape Town Faculty of Science Department of Statistical Sciences
collection	NDLTD
language	English
format	Dissertation
sources	NDLTD
topic	Statistics and Operations Research
spellingShingle	Statistics and Operations Research Dines, Malcolm The distribution of the complex rectangular co-ordinates and its applications
description	Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplified method of deriving the distribution of the complex rectangular co-ordinates. From this distribution the complex Hishart distribution will be derived as an application. Some properties of the distribution of the complex rectangular coordinates will be given. In addition some applications and in particular the application of the distribution in the derivation of the distribution of the "complex" generalized variance will also be given.
author2	Troskie, Casper G
author_facet	Troskie, Casper G Dines, Malcolm
author	Dines, Malcolm
author_sort	Dines, Malcolm
title	The distribution of the complex rectangular co-ordinates and its applications
title_short	The distribution of the complex rectangular co-ordinates and its applications
title_full	The distribution of the complex rectangular co-ordinates and its applications
title_fullStr	The distribution of the complex rectangular co-ordinates and its applications
title_full_unstemmed	The distribution of the complex rectangular co-ordinates and its applications
title_sort	distribution of the complex rectangular co-ordinates and its applications
publisher	University of Cape Town
publishDate	2016
url	http://hdl.handle.net/11427/22170
work_keys_str_mv	AT dinesmalcolm thedistributionofthecomplexrectangularcoordinatesanditsapplications AT dinesmalcolm distributionofthecomplexrectangularcoordinatesanditsapplications
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The distribution of the complex rectangular co-ordinates and its applications

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