A Minimum variance approach to multivariate linear regression with application to actuarial problems

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<dc:creator>Landsman, Zinoviy</dc:creator>
<dc:creator>Makov, Udi E.</dc:creator>
<dc:creator>Springer</dc:creator>
<dc:date>2025-08-11</dc:date>
<dc:description xml:lang="es">Sumario: This article introduces a new multivariate linear regression approach based on minimizing the variance of the squared distance (MVS), as an alternative to the classical minimum expected squared deviation (MES) criterion. The methodology enhances the accuracy of predicting risk vectors when the underlying distributions are non-symmetric by incorporating third-order moment information. Closed-form analytical expressions for the estimators are derived, and the method is shown to significantly reduce prediction variability. The study includes two real-world applications-fire insurance losses and stock index returns-demonstrating the potential of this approach for actuarial and financial modeling</dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/189531.do</dc:identifier>
<dc:language>eng</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Modelos actuariales</dc:subject>
<dc:subject xml:lang="es">Análisis multivariante</dc:subject>
<dc:subject xml:lang="es">Riesgo financiero</dc:subject>
<dc:subject xml:lang="es">Métodos estadísticos</dc:subject>
<dc:subject xml:lang="es">Análisis de varianza</dc:subject>
<dc:subject xml:lang="es">Dependencia</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">A Minimum variance approach to multivariate linear regression with application to actuarial problems</dc:title>
<dc:relation xml:lang="es">En: European Actuarial Journal. - Cham, Switzerland  : Springer Nature Switzerland AG,  2021-2022. - 11/08/2025 Volume 15 - Number 2 - August  2025 , p. 899 - 920</dc:relation>
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