Title :

A lattice approach to the Beta distribution induced by stochastic dominance: Theory and applications

Author(s) :

Braouezec, Yann [Auteur]
IÉSEG School Of Management [Puteaux]
Lille économie management - UMR 9221 [LEM]
Cagnol, John [Auteur]
Mathématiques et Informatique pour la Complexité et les Systèmes [MICS]
Fédération de Mathématiques de CentraleSupélec
Université Paris-Saclay

Journal title :

Journal of the Operational Research Society

Pages :

1424-1442

Publisher :

Palgrave Macmillan

Publication date :

2023-06-03

ISSN :

0160-5682

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]
Sciences de l'Homme et Société/Economies et finances
Économie et finance quantitative [q-fin]/Gestion des risques [q-fin.RM]

English abstract : [en]

We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded ...
Show more >We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded subset D instead of an unbounded plane. We show that a mean-preserving spread is equivalent to an increase of the variance, which means that higher moments are irrelevant to compare the riskiness of Beta distributions. We then derive the lattice structure induced by second-order stochastic dominance, which is feasible thanks to the topological closure of D. Finally, we consider a standard (expected-utility based) portfolio optimization problem in which its inputs are the parameters of the Beta distribution. We explicitly characterize the subset of D for which the optimal solution consists of investing 100% of the wealth in the risky asset and we provide an exhaustive numerical analysis of this optimal solution through (color-coded) graphs.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Lille Économie Management (LEM) - UMR 9221

Source :

Harvested from HAL