Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
On a generalization of the maximum entropy Theorem of Burg
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Keywords

multivariate processes
maximum entropy theorem
Christoffel-Darboux formula
procesos multivariados
teorema de entropía máxima
fórmula de Christoffel-Darboux

How to Cite

Marcano, J., Infante, S., & Sánchez, L. (2017). On a generalization of the maximum entropy Theorem of Burg. Revista De Matemática: Teoría Y Aplicaciones, 24(1), 97–113. https://doi.org/10.15517/rmta.v24i1.27773

Abstract

In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in many applications of linear algebra. Using these developments matrix and Jensen’s inequality, we obtain the main result of this proposal, which is the generalization of the maximum entropy theorem of Burg for multivariate processes.

https://doi.org/10.15517/rmta.v24i1.27773
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References

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