Inference in affine shape theory under elliptical models |
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| Institution: | 1. Universidad de Medellín, Department of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia;2. Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico;3. Department of Probability and Statistics, Centro de Investigación en Matemáticas, Callejón de Jalisco s/n, Mineral de Valenciana, 36240 Guanajuato, Guanajuato, Mexico |
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| Abstract: | This paper studies the elliptical statistical affine shape theory under certain particular conditions on the evenness or oddness of the number of landmarks. In such a case, the related distributions are polynomials, and the inference is easily performed; as an example, a landmark data is studied, and the performance of the polynomial density versus the usual series density is compared. |
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| Keywords: | Affine shape theory Noncentral elliptical configuration density Matrix generalized Kummer relation Zonal polynomials |
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