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Functions of Concordance and Dependence with Related Measures
Authors:Yalcin Tuncer  Fahrettin Arslan  Mehmet Yilmaz
Institution:1. Department of Statistics , Fen Fakultesi , Ankara , Turkey tunceryal@gmail.com;3. Department of Statistics , Fen Fakultesi , Ankara , Turkey
Abstract:Some functions that serve as building blocks for construction of a wider range of modes of concordance and dependence are pointed. We probe into interplays of such modes. From the standpoint of their conformity to stochastic dominance ordering of distributions within a Fréchet class, all such derived modes display some parallelism under certain conditions. We finally suggest a novel numeric measure of dependence that covers similar existing measures in literature.
Keywords:Circular ordering  Concordance-dependence kernels  Dependence indices  Fréchet class  Stochastic dominance
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