Generalised shape theory via pseudo-Wishart distribution

TL;DR

This paper extends classical shape theory to non-isotropic elliptical distributions using pseudo-Wishart, enabling exact inference and applications in biology with Gaussian and non-Gaussian models.

Contribution

It introduces a generalized shape distribution framework based on pseudo-Wishart, broadening the scope beyond isotropic and Gaussian assumptions.

Findings

New shape distributions are computationally feasible.

Exact inference procedures are developed for the new models.

Application demonstrated in biological shape analysis.

Abstract

The non isotropic noncentral elliptical shape distributions via pseudo-Wishart distribution are founded. This way, the classical shape theory is extended to non isotropic case and the normality assumption is replaced by assuming a elliptical distribution. In several cases, the new shape distributions are easily computable and then the inference procedure can be studied under exact densities. An application in Biology is studied under the classical gaussian approach and two non gaussian models.