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Mathematical Sciences Colloquium - Vladimir Dragovic, University of Texas at Dallas

Friday, February 17 at 11:00am to 12:00pm

Sciences Building (SCI), 1.210
800 W. Campbell Road, Richardson, Texas 75080-3021

Title: Bridging Statistics with Geometry and Mechanics

Abstract: We emphasize the importance of connections  between statistics, mechanics, and geometry.  We develop and employ links between pencils of quadrics, moments of inertia, and linear and orthogonal regression. For a given system of points in R^k representing a sample of  full rank, we construct a pencil of confocal quadrics which appears to be a useful geometric tool to study the data.  Some of the obtained results can be seen as generalizations of classical results of Pearson on orthogonal regression. Applications include statistics of errors-in-variables models (EIV) and restricted regressions, both ordinary and orthogonal ones. For the latter, a new formula for test statistic is derived. The developed methods and results are illustrated in natural statistics examples. The talk is based on  joint work with Borislav Gajić. 

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math, mathcolloquiumS23

Natural Sciences & Mathematics


Contact Information
Viswanath Ramakrishna
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