Stochastic Dominance and Applications to Finance, Risk and Economics

This accessible guide helps readers build a useful repertoire of mathematical tools in decision making under uncertainty, especially in investment science. It uses real data and statistical procedures to show how SD theory is applied in financial situations, introduces utility theory for decision making under risk and discusses research issues.

Drawing from many sources in the literature, Stochastic Dominance and Applications to Finance, Risk and Economics illustrates how stochastic dominance (SD) can be used as a method for risk assessment in decision making. It provides basic background on SD for various areas of applications.

Useful Concepts and Techniques for Economics Applications

The majority of the text presents a systematic exposition of SD, emphasizing rigor and generality. It covers utility theory, multivariate SD, quantile functions, risk modeling, Choquet integrals, other risk measures, statistical inference, nonparametric estimation, hypothesis testing, and econometrics. The remainder of the book explores new applications of SD in finance, risk, and economics. At the beginning of each economic concept, the authors clearly explain only the necessary mathematics so readers are not overburdened with learning nonessential, arduous mathematics.

This accessible guide helps readers build a useful repertoire of mathematical tools in decision making under uncertainty, especially in investment science. It provides thorough coverage on the theory of SD, along with many applications to economics and other fields where risk is crucial.

The book helps readers in building a useful repertoire of mathematical tools in decision making under uncertainty, especially in investment science, and provides thorough coverage on the theory of SD, along with many applications to economics and other fields where risk is crucial. Given these, it may be used as a textbook for a course on stochastic dominance for beginners as well as a solid reference book for researchers, especially in the field of economics.
Zentralblatt MATH 1180

Autorentext

Songsak Sriboonchitta is an associate professor and dean of the Faculty of Economics at Chiang Mai University in Thailand.

Wing-Keung Wong is a professor of economics at Hong Kong Baptist University in China.

Sompong Dhompongsa is a professor of mathematics at Chiang Mai University in Thailand.

Hung T. Nguyen is a professor of mathematical sciences at New Mexico State University in Las Cruces.

Inhalt

Utility in Decision Theory. Foundations of Stochastic Dominance. Issues in Stochastic Dominance. Financial Risk Measures. Choquet Integrals as Risk Measures. Foundational Statistics for Stochastic Dominance. Models and Data in Econometrics. Applications to Finance. Applications to Risk Management. Applications to Economics. Appendix. Bibliography. Index.