Distortion risk measure (DRM) plays a crucial role in risk measuring and managing, especially in insurance pricing. Various DRMs have been introduced but little is discussed about which DRM at hand should be chosen to address a decision maker (DM)'s risk attitude. This paper aims to fill out the...

Conditional value at risk (CVaR) has been widely used as a risk measure in finance. When the confidence level of CVaR is set close to 1, the CVaR risk measure approximates the extreme (worst scenario) risk measure. In this paper, we present a quantitative analysis of the relationship between the...

The Global Forest Products Model (GFPM) was developed to upgrade the FAO methodology for forest products outlook projections. Its purpose is to analyze and project the consumption, production, trade, and prices of forest products. The system deals with 180 individual countries, three classes of...

With the rapid development of e-commerce, enterprises need to improve their distribution networks to accommodate the increasing requirements regarding the quality of customer service and the rising costs of the logistics. We investigate a distribution network design problem involving various...

In this paper, we consider a multivariate shortfall risk measure with scenario-dependent allocation weights and examine its properties such as convexity and quasi-convexity. For fixed allocation weights, we show that the resulting risk measure is a convex systemic risk measure in which case the...

Utility-based shortfall risk (SR) measure proposed by (F\”ollmer and Schied, 2002) has been well studied in risk management and finance. In this paper, we revisit the concept from insurance premium perspective. We show under some moderate conditions that the indifference equation-based...

Bellini et al. (2018) propose a robust version of Orlicz premium (OP) when there is an ambiguity in the subjective probability distribution of the underlying uncertainty or a multiplicity of Young function. Inspired by the work, we take a step further in this paper to consider the case where the...

In this paper, we consider decision-making problems where the decision maker’s (DM) utility/risk preferences are ambiguous but can be described by a general class of choice functions defined over the space of cumulative distribution functions (CDFs) of random prospects. These choice functions...

With the development of financial risk management, the notion of convex risk measures has been proposed and has gained more and more attentions. Utility-based shortfall risk (SR), as a specific and important class of convex risk measures, has become popular in recent years. In this paper we...