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Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
Shape theory via affine transformation: Some generalisations
Shape theory via affine transformation generalisations
2011/1/4
This work sets the statistical affine shape theory in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncen...
Quasi-shape theory of locally finite and paracompact spaces
Shape quasi-shape locally finite spaces weak homotopy type
2011/2/28
Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type ...
We use basic results from shape theory to investigate inverse systems of covers and the corresponding fundamental pro-groups. Many of the standard shape-theoretic definitions become simpler in the con...
Generalised shape theory via pseudo-Wishart distribution
Shape theory maximum likelihood estimators zonal polynomials pseudo-Wishart distribution
2010/12/8
The non isotropic noncentral elliptical shape distributions via pseudo-Wishart dis-tribution are founded. This way, the classical shape theory is extended to non isotropic case and the normality assum...