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

    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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