Characterization of diagonal symmetry: location unknown,and a test based on allied U-processes |
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Institution: | 1. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Spain;2. Department of Mathematics, Indian Institute of Technology Kharagpur, India;3. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Spain;1. Department of Mathematics Faculty of Science, Assiut University, Assiut, Egypt;2. Department of Mathematics Faculty of Science, Al-Azhar University, Assiut, Egypt |
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Abstract: | For a (possibly multivariate) distribution F, a characterization of (diagonal) symmetry is made with respect to a kernel of degree 2; this is incorporated in the formulation of appropriate U-processes that provide the access to a suitable test statistic for testing the hypothesis of diagonal symmetry when the location is treated as unknown. Asymptotic properties of the test are studied. |
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