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Basis for binary comparisons and non-standard probabilities
Author(s) -
Donald G. Saari
Publication year - 2015
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2015.0103
Subject(s) - transitive relation , basis (linear algebra) , binary number , mathematics , statistics , path (computing) , space (punctuation) , statistical physics , computer science , combinatorics , physics , arithmetic , geometry , programming language , operating system
To analyse paired comparison outcomes, such as with non-standard probabilities, a basis is created for the space of all binary interactions, whether from probabilities, correlations, etc. In this manner, the source of all transitive and non-transitive behaviours (e.g. path dependencies) can be identified.

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