This paper deals with the use of differential equations and finite difference methods for solving several problems in the field of Economics and Business Administration. Economics usually needs to study the evolution of the values which are taken by a given variable in different moments. If the...

The integrated circuit (IC) packaging and testing industry is an important link in the semiconductor industrial chain that may decide the success or failure of the foundry industry. The purpose of this study was to compare the competitiveness of the packaging and testing industry in the rear...

We review two complementary mixture-based clustering approaches for modeling unobserved heterogeneity in an insurance portfolio: the generalized linear mixed cluster-weighted model (CWM) and mixture-based clustering for an ordered stereotype model (OSM). The latter is for modeling of ordinal...

Enrico Bombieri proved that the ABC Conjecture implies Roth's theorem in 1994. This paper concerns the other direction. In making use of Bombieri's and Van der Poorten's explicit formula for the coefficients of the regular continued fractions of algebraic numbers, we prove that Roth's theorem...

Enrico Bombieri proved that the ABC Conjecture implies Roth's theorem in 1994. This paper concerns the other direction. In making use of Bombieri's and Van der Poorten's explicit formula for the coefficients of the regular continued fractions of algebraic numbers, we prove that Roth's theorem...

Historians of the social sciences and historians of economics have come to agree that, in the United States, the 1940s transformation of economics from political economy to economic science was associated with economists’ engagements with other disciplines – e.g. mathematics, statistics,...

The integrated circuit (IC) packaging and testing industry is an important link in the semiconductor industrial chain that may decide the success or failure of the foundry industry. The purpose of this study was to compare the competitiveness of the packaging and testing industry in the rear...

The construction of martingales with given marginal distributions at given times is a recurrent problem in financial mathematics. From a theoretical point of view, this problem is well-known as necessary and sufficient conditions for the existence of such martingales have been described....

In this paper, we show that the calibration to an implied volatility surface and the pricing of contingent claims can be as simple in a jump-diffusion framework as in a diffusion one. Indeed, after defining the jump densities as those of diffusions sampled at independent and exponentially...

Many dynamic problems in economics are characterized by large state spaces which make both computing and estimating the model infeasible. We introduce a method for approximating the value function of high-dimensional dynamic models based on sieves and establish results for the: (a) consistency,...