Inference for the tail conditional allocation: large sample properties, insurance risk assessment, and compound sums of concomitants

NV Gribkova, J Su, R Zitikis - Insurance: Mathematics and Economics, 2022 - Elsevier
We derive consistency, asymptotic normality, and standard error estimation for the tail
conditional allocation, also known as the marginal expected shortfall, under minimal …

A duality between utility transforms and probability distortions

CP Chambers, P Liu, R Wang - arXiv preprint arXiv:2309.05816, 2023 - arxiv.org
In this paper, we establish a mathematical duality between utility transforms and probability
distortions. These transforms play a central role in decision under risk by forming the …

Factor risk measures

H Assa, P Liu - arXiv preprint arXiv:2404.08475, 2024 - arxiv.org
This paper introduces and studies factor risk measures. While risk measures only rely on the
distribution of a loss random variable, in many cases risk needs to be measured relative to …

An axiomatic approach to default risk and model uncertainty in rating systems

M Nendel, J Streicher - Journal of Mathematical Economics, 2023 - Elsevier
In this paper, we deal with an axiomatic approach to default risk. We introduce the notion of
a default risk measure, which generalizes the classical probability of default (PD), and …