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Generalized approach to the problem of regression

Generalized approach to the problem of regression As a result of studying and solving certain extremal problems defined on the basis of finite and infinite dimensional pseudo-Hilbert space, the authors present a generalization of the classical regression idea. Given discrete or continuous empiric data, the class of solutions is uniquely determined and expressed in a new form of the regression function sequences, both within the asynchronous and synchronous type in a given pseudo-Hilbert space. With the help of this new technique, a large variety of observed phenomena in different areas of practical and theoretical sciences can be precisely described and investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Generalized approach to the problem of regression

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Publisher
Springer Journals
Copyright
Copyright © 2015 by The Author(s)
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-014-0096-7
Publisher site
See Article on Publisher Site

Abstract

As a result of studying and solving certain extremal problems defined on the basis of finite and infinite dimensional pseudo-Hilbert space, the authors present a generalization of the classical regression idea. Given discrete or continuous empiric data, the class of solutions is uniquely determined and expressed in a new form of the regression function sequences, both within the asynchronous and synchronous type in a given pseudo-Hilbert space. With the help of this new technique, a large variety of observed phenomena in different areas of practical and theoretical sciences can be precisely described and investigated.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Jan 15, 2015

References