An unexpected stochastic dominance: Pareto distributions, dependence, and diversification

Y Chen, P Embrechts, R Wang - Operations Research, 2024 - pubsonline.informs.org
We find the perhaps surprising inequality that the weighted average of independent and
identically distributed Pareto random variables with infinite mean is larger than one such …

Portfolio optimization based on almost second-degree stochastic dominance

C Luo, P Chen, P Jaillet - Management Science, 2024 - pubsonline.informs.org
In portfolio optimization, the computational complexity of implementing almost stochastic
dominance has limited its practical applications. In this study, we introduce an optimization …

Multivariate almost stochastic dominance: Transfer characterizations and sufficient conditions under dependence uncertainty

A Müller, M Scarsini, I Tsetlin… - Operations …, 2023 - pubsonline.informs.org
Most often, important decisions involve several unknown attributes. This produces a double
challenge in the sense that both assessing the individual multiattribute preferences and …

Consensus reaching with heterogeneous stochastic dominance in the enterprise credit rating under linguistic distribution assessments context

H Liang, H Hu, Y Liu, H Zhang - Expert Systems with Applications, 2023 - Elsevier
Credit rating is an essential method for credit risk management and has been applied in
many fields. However, in the process of credit rating, the risk attitude of credit rating manager …

[PDF][PDF] An unexpected stochastic dominance: Pareto distributions, catastrophes, and risk exchange

Y Chen, P Embrechts, R Wang - arXiv preprint arXiv …, 2022 - people.math.ethz.ch
We show the perhaps surprising inequality that the weighted average of iid ultra heavytailed
(ie, infinite mean) Pareto losses is larger than a standalone loss in the sense of first-order …

[HTML][HTML] Flexible enhanced indexation models through stochastic dominance and ordered weighted average optimization

F Cesarone, J Puerto - European Journal of Operational Research, 2024 - Elsevier
In this paper, we discuss portfolio selection strategies for Enhanced Indexation (EI), which
are based on stochastic dominance relations. The goal is to select portfolios that …

Minimum adjustment cost consensus model with bounded risk preference attitudes: A perspective based on fractional stochastic dominance

H Liang, H Zhang, S Zhao, H Hu - Applied Soft Computing, 2024 - Elsevier
Linguistic multi-attribute group decision making with linguistic distribution assessment
(LMAGDM-LDA) problems have been widely investigated. However, in the existing studies …

New approximate stochastic dominance approaches for Enhanced Indexation models

F Cesarone, J Puerto - arXiv preprint arXiv:2401.12669, 2024 - arxiv.org
In this paper, we discuss portfolio selection strategies for Enhanced Indexation (EI), which
are based on stochastic dominance relations. The goal is to select portfolios that …

Second-order stochastic comparisons of order statistics

T Lando, I Arab, PE Oliveira - Statistics, 2021 - Taylor & Francis
We study the problem of comparing ageing patterns of lifetimes of k-out-of-n systems with iid
components. Mathematically, this reduces to being able to decide about a stochastic …

Data-driven optimization with distributionally robust second order stochastic dominance constraints

C Peng, E Delage - Operations Research, 2024 - pubsonline.informs.org
Optimization with stochastic dominance constraints has recently received an increasing
amount of attention in the quantitative risk management literature. Instead of requiring that …