Extensive research has been conducted on the properties of quadratic forms in normal random variables, represented by the symbol Q here. However, analytical results on the square root of the quadratic form, √Q, are limited. The square root of the quadratic form is, for example, used in finance...

This paper presents the first global and regional estimates of polarization and bipolarization spanning the period 1960-2020. The study relies on group data to implement a flexible parametric model to obtain the global income distribution and polarization estimates. The study introduces a...

Granted, it is generally understood that using past performance as the basis for either choosing an investment alternative or for selecting a particular configuration of a given alternative poses the risk of mistaking chance outperformance for something that might endure. But if many of the...

This paper is intended as a guide to building insurance risk (loss) models. A typical model for insurance risk, the so-called collective risk model, treats the aggregate loss as having a compound distribution with two main components: one characterizing the arrival of claims and another...

A class of mean reverting positive stochastic processes driven by alpha-stable distributions, 1=alpha2, are discussed. They are referred to as alpha-root processes in analogy to the square root process or the Cox-Ingersoll-Ross process derived from the Brownian motion. They are affine models in...

Statistical distribution of Journal Impact Factor (JIF) is characteristically asymmetric and non-mesokurtic. Even the distribution of log10(JIF) exhibits conspicuous skewness and non-mesokurticity. In this paper we estimate the parameters of Johnson SU distribution fitting to the log10(JIF) data...

In the present document it is exposed in an abstract way the models of credit portfolioes CreditMetricsTM, KMV, CreditRisk+, Credit Portfolio View in such a way that they could be calibrated and implemented in financial institutions where the quality and quantity of credit information is scanty,...

The most widely used measure of segregation is the dissimilarity index, D. It is now well understood that this measure also reflects randomness in the allocation of individuals to units; that is, it measures deviations from evenness not deviations from randomness. This leads to potentially large...

The paper presents a new method of random number generation for tempered stable distribution. This method is easy to implement, faster than other available approaches when tempering is moderate and more accurate than the benchmark. All the results are given as parametric formulas that may be...

Measuring dynamic dependence between international financial markets has recently attracted great interest in financial econometrics because the observed correlations rose dramatically during the 2008–09 global financial crisis. Here, we propose a novel approach for measuring dependence...