ASYMPTOTIC EFFICIENCY OF THE BLEST‐TYPE TESTS FOR INDEPENDENCE |
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| Authors: | Natalia Stepanova Shu Wang |
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| Institution: | School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON, Canada K1S5B6. e‐mail: |
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| Abstract: | Blest (2000, Aust. N. Z. J. Stat. 42 , 101–111) proposed a new measure of rank correlation that is sensitive to discrepancies in the small ranks. This paper investigates the efficiency properties of non‐parametric tests for independence based on Blest's correlation coefficient and its modifications. Pitman efficiency comparisons are made with analogous tests existing in the literature. Conditions for Pitman optimality of the Blest‐type tests are established. |
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| Keywords: | dependence function Lagrange principle Pitman efficiency rank correlation tests of independence |
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