On Some Applications of Matrix Partial Orders in Statistics

In statistics different partial orders appear as useful in several cases. Three of the best known partial orders defined on (sub)sets of real or complex matrices are the Löwner, the minus and the star partial orders. Another two matrix partial orders that are related to the star partial order are...

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Main Authors: Iva Golubić, Janko Marovt
Format: Article
Language:English
Published: International School for Social and Business Studies 2020-12-01
Series:International Journal of Management, Knowledge and Learning
Subjects:
Online Access:http://www.issbs.si/press/ISSN/2232-5697/9_223-235.pdf
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spelling doaj-cf7e97fd3b7d44c1b524c757b83ac7af2020-12-28T18:53:12ZengInternational School for Social and Business StudiesInternational Journal of Management, Knowledge and Learning2232-51072232-56972020-12-0192223235On Some Applications of Matrix Partial Orders in StatisticsIva Golubić0Janko Marovt1University of Ljubljana, Faculty of Electrical Engineering, SloveniaUniversity of Maribor, Faculty of Economics and Business, SloveniaIn statistics different partial orders appear as useful in several cases. Three of the best known partial orders defined on (sub)sets of real or complex matrices are the Löwner, the minus and the star partial orders. Another two matrix partial orders that are related to the star partial order are the leftstar and the right-star partial orders. In the paper we review some of the applications of mentioned partial orders in statistics.http://www.issbs.si/press/ISSN/2232-5697/9_223-235.pdfmatrix partial ordergeneralized matrix inversepreserverstatisticslinear model
collection DOAJ
language English
format Article
sources DOAJ
author Iva Golubić
Janko Marovt
spellingShingle Iva Golubić
Janko Marovt
On Some Applications of Matrix Partial Orders in Statistics
International Journal of Management, Knowledge and Learning
matrix partial order
generalized matrix inverse
preserver
statistics
linear model
author_facet Iva Golubić
Janko Marovt
author_sort Iva Golubić
title On Some Applications of Matrix Partial Orders in Statistics
title_short On Some Applications of Matrix Partial Orders in Statistics
title_full On Some Applications of Matrix Partial Orders in Statistics
title_fullStr On Some Applications of Matrix Partial Orders in Statistics
title_full_unstemmed On Some Applications of Matrix Partial Orders in Statistics
title_sort on some applications of matrix partial orders in statistics
publisher International School for Social and Business Studies
series International Journal of Management, Knowledge and Learning
issn 2232-5107
2232-5697
publishDate 2020-12-01
description In statistics different partial orders appear as useful in several cases. Three of the best known partial orders defined on (sub)sets of real or complex matrices are the Löwner, the minus and the star partial orders. Another two matrix partial orders that are related to the star partial order are the leftstar and the right-star partial orders. In the paper we review some of the applications of mentioned partial orders in statistics.
topic matrix partial order
generalized matrix inverse
preserver
statistics
linear model
url http://www.issbs.si/press/ISSN/2232-5697/9_223-235.pdf
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