On Some Applications of Matrix Partial Orders in Statistics

Iva Golubic and Janko Marovt
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Iva Golubic: University of Ljubljana, Faculty of Electrical Engineering, Slovenia
Janko Marovt: University of Maribor, Faculty of Economics and Business, Slovenia

International Journal of Management, Knowledge and Learning, 2020, vol. 9, issue 2, 223-235

Abstract: 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.

Keywords: matrix partial order; generalized matrix inverse; preserver; statistics; linear model (search for similar items in EconPapers)
Date: 2020
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