The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density f(x)~f_0 x^(-2), with the coefficient depending on the means and variances of the numerator and denominator, and their correlation. We also obtain the conditional...

Anticipated reward magnitude and probability comprise dual components of expected value (EV), a cornerstone of economic and psychological theory. However, the neural mechanisms that compute EV have not been characterized. Using event-related functional magnetic resonance imaging, we examined...

Detecting heterogeneity within a population is crucial in many economic and financial applications. Econometrically, this requires a credible determination of multimodality in a given data distribution. We propose a straightforward yet effective technique for mode inference in discrete data...

The distributions of income and wealth in countries across the world are found to possess some robust and stable features independent of the specific economic, social and political conditions of the countries. We discuss a few physics-inspired multi-agent dynamic models along with their...

The distributions of income and wealth in countries across the world are found to possess some robust and stable features independent of the specific economic, social and political conditions of the countries. We discuss a few physics-inspired multi-agent dynamic models along with their...

In this paper we provide a review of copula theory with applications to finance. We illustrate the idea on the bivariate framework and discuss the simple, elliptical and Archimedean classes of copulae. Since the copulae model the dependency structure between random variables, next we explain the...

We introduce efficient tests for equivalence to families of multinomial distributions. Asymptotic distribution of the test statistic is derived and the local asymptotic optimality of proposed tests is shown.The finite sample performance of tests is improved by means of the parametric bootstrap....

In this study, we develop a two-step asset allocation strategy that identifies the tail risk of a benchmark asset and uses multi-moment dynamic portfolio selection to account for possible conditional non-normality of portfolio returns. The TEDAS - Tail Event Asset Allocation strategy is based on...

If you put two mounds of sugar with identical conditions near an ants' nest, which one will the ants congregate at? Kirman explained the process of ant social herding using a simple model, and he conducted an interesting simulation. The fat tail distribution in the security market is well known,...

One of the main challenges for the regulatory authorities in the aftermath of the last financial crisis is to define pragmatical and practicable risk concepts for the control and the regulation of systemic risks. They need for this purpose risk models that on one hand can capture the macro...