Extremum estimators and stochastic optimization methods

Submitted in partial fulfillment for the Requirements for the Degree of PhD in Mathematics, in the Speciality of Statistics in the Faculdade de Ciências e Tecnologia

Education in Brazil: A big challenge?

Brazil is an emerging country where community school is being promoted in order to respond to the still significant gap between the poor and the rich population. This paper attempts to analyze one community school. Although other social programs whose scopes are also to enhance education have been implemented, such as the "Bolsa Familia", the impact of community schools need attention as well. Indeed, community schools must be studied due to the relevant positive attributes they can provide. Moreover, by improving the quality of education, studies show an enhancement of a higher-skilled nation and a better qualified labour force for the future. To clearly demonstrate the impacts of these communities, the treatment effect will be measured by using a matching estimator.

Health systems efficiency after the crisis in the OECD

This work evaluates the efficiency position of the health system of each OECD country. It identifies whether, or not, health systems changed in terms of quality and performance after the financial crisis. The health systems performance was calculated by fixed-effects estimator and by stochastic frontier analysis. The results suggest that many of those countries that the crisis affected the most are more efficient than the OECD average. In addition, some of those countries even managed to reach the top decile in the efficiency ranking. Finally, we analyze the stochastic frontier efficiency scores together with other health indicators to evaluate the health systems’ overall adjustments derived from the crisis.

Financial depth, stock markets and economic growth in the EU-15 countries

The aim of this paper is to assess the impact of financial depth on economic growth in the EU-15 countries from 1970 until 2012, using the two-step System GMM estimator. Even though it might be expected a positive impact, the results show it is negative and sometimes even negative and statistically significant. Among the reasons presented for this, the existence of banking crises seems to better explain these results. In tranquil periods, financial deepening appears to have a positive impact, whereas in banking crises it is persistently negative and statistically significant. Also, after an assessment of the impact of stock markets on economic growth, it appears that more developed countries in the EU-15 have an economy more reliant on this segment of the financial system rather than in bank intermediation.