Measures of concordance determined by  -invariant measures on  |
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| Authors: | H. H. Edwards P. Mikusinski M. D. Taylor |
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| Affiliation: | Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, Florida 32816-1364 ; Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, Florida 32816-1364 ; Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, Florida 32816-1364 |
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| Abstract: | A measure,  , on  is said to be  -invariant if its value for any Borel set is invariant with respect to the symmetries of the unit square. A function,  , generated in a certain way by a measure,  , on  is shown to be a measure of concordance if and only if the generating measure is positive, regular,  -invariant, and satisfies certain inequalities. The construction examined here includes Blomqvist's beta as a special case. |
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