Both stochastic dominance and Omega ratio can be used to examine whether market is efficient, whether there is any arbitrage opportunity in the market, and whether there is any anomaly in the market. In this paper, we first study relationship between stochastic dominance and Omega ratio. We find...

We first show that second-order stochastic dominance (SSD) and/or second-order risk-seeking stochastic dominance (SRSD) alone for any two prospects is not sufficient to imply the Omega ratio of one asset is always greater than that of the other one. We then extend the theory of risk measures by...

Both stochastic dominance and Omegaratio can be used to examine whether the market is efficient, whether there is any arbitrage opportunity in the market and whether there is any anomaly in the market. In this paper, we first study the relationship between stochastic dominance and the Omega...

This paper is on decision theoretical foundations for various types of VaR models, including VaR and conditional-VaR, as objective measures of downside risk for financial prospects. We establish the connections of the VaRs with the first- and the second-order stochastic dominance investment...

Leshno and Levy (2002) introduce the concept of the first and second order of almost stochastic dominance (ASD) for most decision makers. There are many studies investigating the properties of this concept. Many empirical applications are also conducted based on it. However, there is no formal...

In this paper, we study the theory of preference over unbounded random prospects using an axiomatic approach. We first show that Yaari's dual independence axiom can be decomposed into two axioms, the homogeneity axiom and the co-monotonic independence with respect to addition axiom, and we...

This paper extends Jiang, et al. (2010), Guo, et al. (2017), and others by investigating the impact of background risk on an investor's portfolio choice in the mean-VaR, mean-CVaR and mean-variance framework, and analyzes the characterizations of the mean-variance boundary and mean-VaR efficient...

Parametric production frontier functions are frequently used in stochastic frontier models, but there do not seem to be any empirical test statistics for its plausibility. To bridge the gap in the literature, we develop two test statistics based on local smoothing and an empirical process,...

In this paper I introduce the Absolute Roll Measure derived using imaginary numbers to address the confounding presence of positive autocovariance in [Roll(1984)]. I conduct an empirical implementation for Aaa and Baa corporate bond spreads over the period 1986-2020 with four bid-ask models. The...

This paper develops a general theoretical model for the measurement of strategic performance. The concepts are universal and, by applying the methodology through specific quantitative analytic methods, measurable for all forms of strategic activity. The model distinguishes three aspects of...