There are two fair ways to distribute particles in boxes. The first one is the Casino’s way, namely an equal chance to any box. The second one is the thermodynamic way, namely an equal chance to any different configuration of particles and boxes. The second way, calculated here, yields an...

Significant differences in the evolution of firm size distribution for various industries in the United States have been revealed and documented. For theoretical considerations, this finding puts major constraints on the modelling of firm growth. For practical purposes, the observed differences...

This paper presents a dynamic general equilibrium model with heterogeneous firms and entrepreneur's portfolio choice. We analytically show that this model generates the Pareto distribution of top income earners and Zipf's law of firms at the steady state. The differential equation for the...

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,...

This paper is intended as a guide to statistical inference for loss distributions. There are three basic approaches to deriving the loss distribution in an insurance risk model: empirical, analytical, and moment based. The empirical method is based on a sufficiently smooth and accurate estimate...

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...

In the Schumpeterian creative disruption age, the authors firmly believe that an increasing application of electronic technologies in the finances opens a big number of new unlimited opportunities toward a new era of the ultra high frequency electronic trading in the foreign currencies exchange...

In the Schumpeterian creative disruption age, the authors firmly believe that an increasing application of electronic technologies in the finances opens a big number of new unlimited opportunities toward a new era of the ultra high frequency electronic trading in the foreign currencies exchange...