Stochastic dominance and risk measure: A decision-theoretic foundation for VaR and C-VaR

Distortion Risk Measures: Coherence and Stochastic Dominance

In this paper it is proved that a concave distortion function is a necessary and sufficient condition for coherence, and a strictly concave distortion function is a necessary and sufficient condition for strict consistency with second order stochastic dominance. The results are related to current risk measures used in practice, such as value-at-risk (VaR) and the conditional tail expectation (C...

Dual stochastic dominance and quantile risk measures

Following the seminal work by Markowitz, the portfolio selection problem is usually modeled as a bicriteria optimization problem where a reasonable trade-off between expected rate of return and risk is sought. In the classical Markowitz model, the risk is measured with variance. Several other risk measures have been later considered thus creating the entire family of mean-risk (Markowitz type) ...

محاسبه ریسک با معیار تسلط تصادفی و مقایسه آن با سایر معیارهای متداول در بورس اوراق بهادار تهران

Nowadays stock market as a means to facilitate and direct micro investment for economic development is deemed as one of the most effective tools in the market economy system. Analyzing the risk and output of various companies' shares is among the most important preconditions of stock investment. In general, although conventional risk measures such as Beta and standard deviation are relatively e...

Decision criteria in risk analysis : an application of stochastic dominance with respect to a function

An economic-risk analysis of alternative rotations by stochastic simulation in Fars province

ABSTRACT - Cultivation of legumes in crop rotations results in atmosphere nitrogen fixation. After harvesting, part of this external nitrogen remains in soil and is used by subsequent crops. This implies that producers would gain from lowering the amount of nitrogen fertilizer in their fields. In this study, stochastic simulation is used to generate probability distributions of net present valu...