4 resultados para Cauchy-Schwarz Inequality

em Universidad del Rosario, Colombia


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El documento resume los resultados de los tres ensayos sobre economía de la educación y de igualdad de oportunidades que se realizaron para el caso de Colombia.

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In the context of economic growth and recovering socio-economic conditions, many Latin American countries have implemented deep educational reforms since the beginning of the century. This paper aims to analyse whether these changes have promoted equality of educational opportunities in the region. Both the access and knowledge and skills dimensions are evaluated for six important countries, deepening the analysis for Argentina, Brazil and Colombia, in order to better understand the trends observed. Results point to reasonable progress in access, but reflect an unsatisfactory evolution of the level and distribution of knowledge and skills as reflected by PISA test scores.

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We assess inequality of opportunity in educational achievement in six Latin American countries, employing two waves of PISA data (2006 and 2009). By means of a non-parametric approach using a decomposable inequality index, GE(0), we rank countries according to their degree of inequality of opportunity. We work with alternative characterizations of types: school type (public or private), gender, parental education, and combinations of those variables. We calculate incremental contributions of each set of circumstances to inequality. We provide rankings of countries based on unconditional inequalities (using conventional indices) and on conditional inequalities (EOp indices), and the two sets of rankings do not always coincide. Inequality of opportunities range from less than 1% to up to 27%, with substantial heterogeneity according to the year, the country, the subject and the specificication of circumstances. Robustness checks based on bootstrap and the use of an alternative index confirm most of the initial results.

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Latin America is well known as an inequitable region. As it is recognized, inequality and corruption perception weaken the way that political institutions works and the democratic system. Focusing on Latin American and Caribbean countries, this paper analyzes what are the elements shaping tax morale. In particular, how the context influences ethical grounds decisions such as the predisposition to pay taxes is analyzed, using the survey carried out in 2005 by Latinobarometro. The objective is to analyze how country performance determines tax morale. To do so, four probitmodels are estimated using Gini index, Transparency International Corruption Perception Index and Gross Domestic Product per capita (GDPpc) as explanatory variables. As expected we found that some socio-demographic variables play a relevant role. Interestingly, we also found that, in this attitude, LAC countries do not register a gender bias. However, those are not our main contributions to the literature on the field. The most important results are linked to: 1) the levelmatters, GDPpc increases the probability of people having tax morale, 2) moreover, income distributionalso influence on tax morale but in opposite direction and 3) corruption perception also reduces tax morale. Those results show that the quality of institutions matters and therefore, the way that democracy works play a relevant role.