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Statistical theory of shape under elliptical models via QR decomposition. (English) Zbl 1291.62041

Summary: The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact densities. An application in Biology is studied under two Kotz models, the best distribution (non-Gaussian) is selected by using a modified Bayesian information criterion (BIC)*.

MSC:

62E15 Exact distribution theory in statistics
60E05 Probability distributions: general theory
62H99 Multivariate analysis
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References:

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