La immigració i els efectes en el comportament empresarial: una anàlisi a nivell municipal de Catalunya

En aquest context de canvi econòmic i dels ritmes d’arribada dels fluxos migratoris, aquest treball aborda els efectes de la població immigrant sobre les empreses manufactureres localitzades en ciutats catalanes amb més de 1.000 habitants durant el període 2000-2008. El desenvolupament empíric posa especial èmfasi en la localització d’empreses i la població immigrada així com l’impacte que exerceix sobre el comportament de les empreses. Per tal de recollir les dades hem treballat amb tres bases de dades diferents: dades ofertes per Idescat, INE i Sistema de Anàlisis de Balances Ibéricos. En especial aquesta darrera base ha ofert informació a nivell individual de les empreses el qual ha requerit un procés de depuració complex i exhaustiu a través de programació estadística. En la literatura sobre els impactes econòmics dels immigrants predominen els treballs que han abordat un impacte sobre el mercat de treball, posant especial èmfasis en els diferencials salarials i la reducció de la bretxa salarial en funció del temps de residència dels immigrants. En canvi, en poques ocasions s’ha analitzat l’efecte de la immigració sobre el comportament de l’empresa. L’objectiu d’aquest treball és analitzar l’impacte dels entorns amb població immigrant a les ciutats catalanes i de forma més específica amb el creixement de les empreses locals i l’evolució dels seus nivells d’eficiència. Els objectius concrets que volem analitzar són els següents: i) mostrar les principals conclusions de la literatura ii) observar les pautes de localització d’immigrantsiii) mostrar les pautes de localització de les empreses iv) analitzar si les ciutats catalanes amb una major població immigrant presenten un impacte positiu o negatiu sobre el creixement de les empreses locals i l’evolució dels seus nivells d’eficiència a través d’eines economètriques.

Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Centralnotations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform.In this way very elaborated aspects of mathematical statistics can be understoodeasily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating,combination of likelihood and robust M-estimation functions are simple additions/perturbations in A2(Pprior). Weighting observations corresponds to a weightedaddition of the corresponding evidence.Likelihood based statistics for general exponential families turns out to have aparticularly easy interpretation in terms of A2(P). Regular exponential families formfinite dimensional linear subspaces of A2(P) and they correspond to finite dimensionalsubspaces formed by their posterior in the dual information space A2(Pprior).The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P.The discussion of A2(P) valued random variables, such as estimation functionsor likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

Some last thoughts on compositional data analysis

One of the disadvantages of old age is that there is more past than future: this,however, may be turned into an advantage if the wealth of experience and, hopefully,wisdom gained in the past can be reflected upon and throw some light on possiblefuture trends. To an extent, then, this talk is necessarily personal, certainly nostalgic,but also self critical and inquisitive about our understanding of the discipline ofstatistics. A number of almost philosophical themes will run through the talk: searchfor appropriate modelling in relation to the real problem envisaged, emphasis onsensible balances between simplicity and complexity, the relative roles of theory andpractice, the nature of communication of inferential ideas to the statistical layman, theinter-related roles of teaching, consultation and research. A list of keywords might be:identification of sample space and its mathematical structure, choices betweentransform and stay, the role of parametric modelling, the role of a sample spacemetric, the underused hypothesis lattice, the nature of compositional change,particularly in relation to the modelling of processes. While the main theme will berelevance to compositional data analysis we shall point to substantial implications forgeneral multivariate analysis arising from experience of the development ofcompositional data analysis…

Compositions in life science data

The aim of this talk is to convince the reader that there are a lot of interesting statisticalproblems in presentday life science data analysis which seem ultimately connected withcompositional statistics.Key words: SAGE, cDNA microarrays, (1D-)NMR, virus quasispecies

Marcadores de pronóstico neurológico en pacientes tratados con hipotermia moderada terapéutica después de una parada cardíaca extrahospitalaria

El trabajo actual describe las características demográficas y clínicas de una cohorte de 91 pacientes ingresados por parada cardíaca extrahospitalaria con un primer ritmo desfibrilable, y en situación de coma a su llegada al hospital. Se han identificado como principales predictores de mala evolución neurológica la elevación de enolasa y la aparición de actividad epileptiforme. Mediante análisis estadístico se ha conseguido estratificar el riesgo de mala evolución neurológica, lo que podría ser de utilidad clínica en el manejo de estos pacientes.”

ImaginaryBCN: cuaderno de seguimiento

Guia didàctica de l'exposició Imaginary/BCN. La mirada matemàtica, les arts i el patrimoni. Barcelona, del 17 de març al 6 de maig de 2012

Teoremas de isomorfía en grupos diedros

En este art\'\ı culo discutimos los resultados principalesalcanzados en mi trabajo de grado, el cual fue dirigido por elprofesor Jairo Charris Casta\~neda. La discusi\'on la limitaremos alos llamados $(p, q)$ grupos, en particular a los grupos diedros.

Unified formalism for non-autonomous mechanical systems

We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). The dynamical equations of motion and their compatibility and consistency are carefully studied, making clear that all the characteristics of the Lagrangian and the Hamiltonian formalisms are recovered in this formulation. As an example, it is studied a semidiscretization of the nonlinear wave equation proving the applicability of the proposed formalism.

Improving electricity market price scenarios by means of forecasting factor models

In liberalized electricity markets, generation Companies must build an hourly bidthat is sent to the market operator. The price at which the energy will be paid is unknown during the bidding process and has to be forecast. In this work we apply forecasting factor models to this framework and study its suitability.

Homotopy Batalin-Vilkovisky algebras

This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define this resolution we extend the theory of Koszul duality to operads and properads that are defind by quadratic and linear relations. The operad encoding Batalin-Vilkovisky algebras is shown to be Koszul in this sense. This allows us to prove a Poincare-Birkhoff-Witt Theorem for such an operad and to give an explicit small quasi-free resolution for it. This particular resolution enables us to describe the deformation theory and homotopy theory of BV-algebras and of homotopy BV-algebras. We show that any topological conformal field theory carries a homotopy BV-algebra structure which lifts the BV-algebra structure on homology. The same result is proved for the singular chain complex of the double loop space of a topological space endowed with an action of the circle. We also prove the cyclic Deligne conjecture with this cofibrant resolution of the operad BV. We develop the general obstruction theory for algebras over the Koszul resolution of a properad and apply it to extend a conjecture of Lian-Zuckerman, showing that certain vertex algebras have an explicit homotopy BV-algebra structure.

André spectral sequences for Baues-Wirsching cohomology of categories

We construct spectral sequences in the framework of Baues-Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications to more classical cohomology and homology theories including Hochschild-Mitchell cohomology and those studied before by Watts, Roos, Quillen and others