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On blest's measure of rank correlation
Authors:Christian Genest,Jean‐Fran  ois Plante
Affiliation:Christian Genest,Jean‐François Plante
Abstract:Blest (2000) proposed a new nonparametric measure of correlation between two random variables. His coefficient, which is dissymmetric in its arguments, emphasizes discrepancies observed among the first ranks in the orderings induced by the variables. The authors derive the limiting distribution of Blest's index and suggest symmetric variants whose merits as statistics for testing independence are explored using asymptotic relative efficiency calculations and Monte Carlo simulations.
Keywords:Concordance measure  Copula  Correlation  Kendall's tau  Pitman's asymptotic relative efficiency  Spearman's rho  tests of independence
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