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PIM (Pequeño Instituto de Matemáticas)Con el objetivo de fomentar el interés por las matemáticas y dirigido a jóvenes entre 14 y 18 años, nace este proyecto de Instituto de Ciencias Matemáticas (ICMAT) en colaboración con nuestro Departamento, la Universidad Autónoma de Madrid y la Real Sociedad Matemática Española. El proyecto comienzó en el curso académico 2022-2023. Ampliar información en su página web. |
Seminario de estadística.
Título: Inequality comparisons
Conferenciante: Javier Cárcamo, Universidad Autónoma de Madrid
Fecha y hora: viernes 18 de diciembre a las 11:00 horas
Resumen: Inequality is one of the main global issues in nowadays world. In the econometric literature there is a major interest to develop and study indices quantifying inequality with accuracy as well as summaries of the dispersion/heterogeneity of income or wealth distribution in a population. The Lorenz curve (1905) and the Gini index (1914) have been key tools within this field of research. We analyze the (convex) set of Lorenz curves with fixed Gini index from a mathematical point of view. In this way, we can compute the maximum distance between distributions with given Gini indices. As an application, we construct a new inequality index that amends (to the extent possible) the deficiencies of the current approaches to compare inequality among populations. We apply the proposed index to several real income datasets to illustrate its performance in practice. This is a joint work with Amparo Baíllo and Carlos Mora.
Enlace Teams:
https://teams.microsoft.com/l/channel/19%3a0d91b40bd3754bab980f363f3ca16d3b%40thread.tacv2/General?groupId=6a0b708e-988d-4808-99fc-8b6171b98d43&tenantId=fc6602ef-8e88-4f1d-a206-e14a3bc19af2