In this paper, we first develop some properties to state the relationships between the central moments and stochastic dominance for both the general utility functions and the polynomial utility functions. This leads to draw preferences of both risk averters and risk seekers on their choices of...

In this paper, we propose the use of new stochastic dominance tests to achieve a more robust analysis of relative welfare levels in the study of income distributions. In particular, we propose applying the theory of descending stochastic dominance to enrich results that are obtained using the...

In this paper, we develop some theories related to relationships between central moments, stochastic dominance (SD) and expected utility. The first part of our discussion focus on the relationship between central moments, different order integrals and stochastic dominance as well as relationship...

In this paper, we first develop some properties to state the relationships among central moments, stochastic dominance (SD), risk-seeking stochastic dominance (RSD), and integrals for the general utility functions and the polynomial utility functions of both risk averters and risk seekers. We...

Mathematics plays a vital role in many areas of finance and provides the theories and tools that have been widely used in all areas of finance. In this editorial, we tell authors the ideas on what types of papers we will accept for publication in the area of mathematical finance. We will discuss...

The aim of this paper is to consider instability and ambiguity problems on portfolio selection. We examine the impact of estimation errors on financial portfolios optimization processes. We investigate the controversy problem of international and domestic optimal diversification strategies...