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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 ...
Statistical theory of shape under elliptical models and singular value decompositions
The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the ...
Rocking curves of gold nitride species prepared by arc pulsed - physical assisted plasma vapor deposition
Gold nitride is important for potential applications, such as, to replace metallic gold in electronics, coatings, jewelry and micro-engineering. However, the experimental determination of crystalline structure is still ...
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An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed ...
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In this paper, we define and discuss a class of generalized Wishart distributions under elliptical models. We derive the non-central moments of the likelihood ratio statistic for testing the equality of two covariance ...
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A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use ...