2010/03/25 by José A. Díaz‐García, Jose A. Diaz-Garcia, Diaz-Garcia, Jose A. +3
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Manufacturing Process and Optimization #Medical Image Segmentation Techniques #Statistics Theory (math.ST) #math.ST #stat.TH
paper · pdf · doi:10.48550/arxiv.1003.4780
14 pages
arxiv created 2010/03/25 · openalex publication_date 2010/03/25 · arxiv updated 2010/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work finds the non isotropic noncentral elliptical shape distributions via SVD decomposition in the context of zonal polynomials, avoiding the invariant polynomials and the open problems for their computation. The new shape distributions are easily computable and then the inference procedure is based on exact densities instead of the published approximations and asymptotic densities of isotropic models. An application of the technique is illustrated with a classical landmark data in Biology, for this, three models are proposed, the usual Gaussian and two non Gaussian; the best one is chosen by using a modified BIC criterion.