Locally best rotation-invariant rank tests for modal location
For a general class of unipolar, rotationally symmetric distributions on the multi-dimensional unit spherical surface, a characterization of locally best rotation-invariant test statistics is exploited in the construction of locally best rotation-invariant rank tests for modal location. Allied statistical distributional problems are appraised, and in the light of these assessments, asymptotic relative efficiency of a class of rotation-invariant rank tests (with respect to some of their parametric counterparts) is studied. Finite sample permutational distributional perspectives are also appraised.
Year of publication: |
2007
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Authors: | Tsai, Ming-Tien ; Sen, Pranab Kumar |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 98.2007, 6, p. 1160-1179
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Publisher: |
Elsevier |
Keywords: | Integrated likelihood function Maximum invariants Permutation central limit theorem Rotational symmetry |
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