Antonio Cuevas González (Universidad Autónoma de Madrid)
Título: “Estimación de fronteras: Teoría y aplicaciones”
20 de octubre de 2006

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Enrique Llorens Fuster (Universidad de Valencia)
Título: “Teoría Métrica del Punto Fijo: problemas antiguos y resultados recientes”
22 de septiembre de 2006

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V. Milman (Universidad de Tel Aviv, Israel)
Título: “Functional Versions of Some Geometric Inequalities”
11 de septiembre de 2006

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T. N. Sriram (University of Georgia, EE.UU.)
Título: “Robust Estimation of Mixture Complexity”
29 de junio de 2006

Resumen: In many applications, it is important to find the mixture with the fewest number of components, known as the mixture complexity, which provides a satisfactory fit to the data. This talk will focus on developing an estimator of mixture complexity which is consistent, when the form of component densities (or mass functions) are unknown but are postulated to be members of some parametric family, and which is simultaneously robust against model misspecification. We treat the estimation of mixture complexity as a model selection problem and construct an estimator of mixture complexity as a by-product of minimizing a Hellinger Information Criterion. This estimator is shown to be consistent for any parametric family of mixtures. When the model is correctly specified, Monte Carlo simulations for a wide variety of normal (and Poisson) mixtures show that our estimator is very competitive with several others in the literature in correctly identifying the true mixture complexity. The basic construction, being firmly rooted in the minimum Hellinger distance approach, enables our estimator to naturally inherit the property of robustness, which is examined, via simulations, under departures from postulated component models. Data analysis in the continuous case and discrete case are given to illustrate the performance of our estimator.

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Manuel González Ortiz (Universidad de Cantabria)
Título:
21 de abril de 2006

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Antonio Avilés López (Universidad de Murcia)
Título: “El número de conjuntos débilmente compactos que generan un espacio de Banach”
20 de abril de 2006

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Roberto Notari (Politecnico di Torino, Italia)
Título: “Results and open problems in (even/bi) liaison theory”
24 de febrero de 2006

Resumen: The aim of this talk is to recall the basic definitions and the main results for the liaison theory and the even liaison/biliaison ones. Moreover, I would like to illustrate some recent developments and related open problems for the theory under consideration.

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Stanislaw Goldstein (Universidad de Lodz, Polonia)
Título: “A few steps into noncommutative L_p spaces”
3 de febrero de 2006