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Journal of Automation and Information Sciences

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

On One Modification of Linear Regression Estimation Algorithm Using Ellipsoids

Volumen 44, Edición 3, 2012, pp. 15-32
DOI: 10.1615/JAutomatInfScien.v44.i3.20
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SINOPSIS

The questions arising at solving the problem of linear regression parameters estimation with the use of ellipsoids are considered. In particular, we consider the problems appearing at the violation of a priori hypotheses about the uncertain values of the problem. The modification of the method providing its operation in the case of an empty intersection of an ellipsoid and a set associated with the measurements is studied. Within the treatment of ellipsoid methods as the projection method with a variable metric, relations for the study of its properties in the case of inconsistency are obtained. Comparative efficiency of the modification is illustrated by numerical simulation.

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