Title

Measures of concordance determined by D-4-invariant measures on (0,1)(2)

Authors

Authors

H. H. Edwards; P. Mikusinski;M. D. Taylor

Comments

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Abbreviated Journal Title

Proc. Amer. Math. Soc.

Keywords

Mathematics, Applied; Mathematics

Abstract

A measure, mu, on (0, 1)(2) is said to be D-4-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, mu, on (0, 1)(2) is shown to be a measure of concordance if and only if the generating measure is positive, regular, D-4-invariant, and satisfies certain inequalities. The construction examined here includes Blomqvist's beta as a special case.

Journal Title

Proceedings of the American Mathematical Society

Volume

133

Issue/Number

5

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

1505

Last Page

1513

WOS Identifier

WOS:000226466400034

ISSN

0002-9939

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