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A Note on continuity and asymptotic consistency of measures of risk and variability

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040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
1001 ‎$0‎MAPA20260001043‎$a‎Gao, Niushan
24512‎$a‎A Note on continuity and asymptotic consistency of measures of risk and variability‎$c‎Niushan Gao and Foivos Xanthos
520  ‎$a‎They show that every convex, order-bounded above functional on a Fréchet lattice is automatically continuous. This improves a result in Ruszczynski and Shapiro ((2006) Mathematics of Operations Research 31(3), 433452.) and applies to many deviation and variability measures. We also show that an order-continuous, law-invariant functional on an Orlicz space is strongly consistent everywhere, extending a result in Krätschmer et al (2017) Finance and Stochastics 18(2), 271295)
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080604721‎$a‎Análisis multivariante
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080574871‎$a‎Cálculo integral
7001 ‎$0‎MAPA20260001050‎$a‎Xanthos, Foivos
7102 ‎$0‎MAPA20100017661‎$a‎International Actuarial Association
7730 ‎$w‎MAP20077000420‎$g‎29/01/2025 Volume 55 Issue 1 - January 2025 , p. 168-177‎$x‎0515-0361‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association