Alfréd Rényi, in a paper of 1962, A new approach to the theory of Engel's series, proposed a problem related to the growth of the elements of an Engel's series. In this paper, we reformulate and solve Rényi's problem for both, Engel's series and Pierce expansions.

Des del principi dels temps històrics, la Matemàtica s'ha generat en totes les civilitzacions sobre la base de la resolució de problemes pràctics.Tanmateix, a partir del període grec la Història ens mostra la necessitat de fer un pas més endavant: l'evolució històrica de la Matemàtica...

The information stated by Public Hospitals to the Central Administration of the Health System, concerning cases of clinical hospitalization, goes through a process of grouping Homogeneous Diagnoses. The “pathological-numeric” codification is a matter of extreme importance for the monitoring...

Ecological Inference (IE) is a set of statistical methods that estimate the cells of a contingency table when only the marginal totals are known. Based on King’s model (1997) and considering the legislative elections in Portugal between the years 2002 and 2005, we try to find the stability...

The knowledge of criminal profiles in what relates with the time of occurrence and the characteristics of suspects and victims is a valuable source of information to the police, both in a strategic and tactical perspective. In a more traditional point of view, this type of information allows for...

The recent dramatic change in energy supply in Japan has prompted a search for a new energy-environment-economic efficiency policy, in which a compromise has to be found between a sufficient supply of energy resources, the development of low carbon emission technology, and a continuation of...

In this paper we �first develop a theory of almost stochastic dominance for risk-seeking investors to the first three orders. Thereafter, we study the relationship between the preferences of almost stochastic dominance for risk-seekers with that for risk averters.

This paper investigates the impact of background risk on an investor’s portfolio choice in a mean-VaR, mean-CVaR and mean-variance framework, and analyzes the characterizations of the mean-variance boundary and mean-VaR efficient frontier in the presence of background risk. We also consider...

This paper is a contribution to the study of behavioral economics. It proposes a model of decision making process and includes the affective and cognitive systems, both them included when anyone evaluates the options to select one. First of all, a literature review was done. Secondly, an...

One of the most pressing problems in the Latvian economy is related to the energy sector. The most characteristic feature is coupled with the low efficiency of thermal energy consumption of households as a result of poor insulation of existing buildings in Latvia. Solving energy sector problems...