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Decomposing matrices with Jerzy K. Baksalary

Jarkko Isotalo, Simo Puntanen, George P.H. Styan (2008)

Discussiones Mathematicae Probability and Statistics

In this paper we comment on some papers written by Jerzy K. Baksalary. In particular, we draw attention to the development process of some specific research ideas and papers now that some time, more than 15 years, has gone after their publication.

Densities of determinant ratios, their moments and some simultaneous confidence intervals in the multivariate Gauss-Markoff model

Wiktor Oktaba (1995)

Applications of Mathematics

The following three results for the general multivariate Gauss-Markoff model with a singular covariance matrix are given or indicated. 1 determinant ratios as products of independent chi-square distributions, 2 moments for the determinants and 3 the method of obtaining approximate densities of the determinants.

Detection of influential points by convex hull volume minimization

Petr Tichavský, Pavel Boček (1998)

Kybernetika

A method of geometrical characterization of multidimensional data sets, including construction of the convex hull of the data and calculation of the volume of the convex hull, is described. This technique, together with the concept of minimum convex hull volume, can be used for detection of influential points or outliers in multiple linear regression. An approximation to the true concept is achieved by ordering the data into a linear sequence such that the volume of the convex hull of the first...

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