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

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Tag12Value
LDR  00000cab a2200000 4500
001  MAP20260002996
003  MAP
005  20260211184455.0
008  260206e20250811che|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20110013387‎$a‎Landsman, Zinoviy
24512‎$a‎A Minimum variance approach to multivariate linear regression with application to actuarial problems‎$c‎Zinoviy Landsman and Udi Makov
520  ‎$a‎This 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
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080604721‎$a‎Análisis multivariante
650 4‎$0‎MAPA20080582418‎$a‎Riesgo financiero
650 4‎$0‎MAPA20080597665‎$a‎Métodos estadísticos
650 4‎$0‎MAPA20080594633‎$a‎Análisis de varianza
650 4‎$0‎MAPA20080557799‎$a‎Dependencia
7001 ‎$0‎MAPA20110013424‎$a‎Makov, Udi E.
7102 ‎$0‎MAPA20180008764‎$a‎Springer
7730 ‎$w‎MAP20220007085‎$g‎11/08/2025 Volume 15 - Number 2 - August 2025 , p. 899 - 920‎$t‎European Actuarial Journal‎$d‎Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022