"ASYMPTOTIC RELATIVE EFFICIENCY OF THE KENDALL AND SPEARMAN CORRELATION" by I. Pinelis
 

ASYMPTOTIC RELATIVE EFFICIENCY OF THE KENDALL AND SPEARMAN CORRELATION STATISTICS

Document Type

Article

Publication Date

2023

Department

Department of Mathematical Sciences

Abstract

A necessary and sufficient condition for Pitman’s asymptotic relative efficiency of the Kendall and Spearman correlation statistics for the independence test to be 1 is given, in terms of certain smoothness and nondegeneracy properties of the model. Corresponding easy-to-use and broadly applicable sufficient conditions are obtained. These conditions hold for most well-known models of dependence.

Publication Title

Theory of Probability and its Applications

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