Presentació Monografia: J.S. Bruner

Per tal de continuar amb la tradició, que es va iniciar en el primer número de la revista, de dedicar la monografia a l'obra d'autors que per les seves aportacions han contribuit, des de diferents perspectives i àmbits disciplinaris, a enriquir la reflexió sobre la teoria i la pràctica de l'educació. Presentem avui les del psicóleg americà J. S. Bruner.

Estimating extreme value cumulative distribution functions using bias-corrected kernel approaches

We propose a new kernel estimation of the cumulative distribution function based on transformation and on bias reducing techniques. We derive the optimal bandwidth that minimises the asymptotic integrated mean squared error. The simulation results show that our proposed kernel estimation improves alternative approaches when the variable has an extreme value distribution with heavy tail and the sample size is small.

Norbert Elias i les paradoxes educatives actuals

En el present article s’exposa la teoria de la civilització del sociòleg alemany Norbert Elias (1897- 1990). Aquesta perspectiva, que busca no perdre mai de vista la profunda interrelació entre els elements socials i personals, estructurals i psicològics, creiem que pot ser d’interès a l’hora d’abordar algunes de les tensions actuals tant del sistema escolar com de l’educació en general (famílies, lleure, esport, etc.) i llur interrelació. L’article, després d’exposar els elements més significatius de la proposta teòrica i analítica d’Elias, presenta a mode de conclusió tres paradoxes educatives actuals que, des de la teoria de la civilització, es poden comprendre més i millor.

Time course of error detection and correction in humans: neurophysiological evidence.

Using event-related brain potentials, the time course of error detection and correction was studied in healthy human subjects. A feedforward model of error correction was used to predict the timing properties of the error and corrective movements. Analysis of the multichannel recordings focused on (1) the error-related negativity (ERN) seen immediately after errors in response- and stimulus-locked averages and (2) on the lateralized readiness potential (LRP) reflecting motor preparation. Comparison of the onset and time course of the ERN and LRP components showed that the signs of corrective activity preceded the ERN. Thus, error correction was implemented before or at least in parallel with the appearance of the ERN component. Also, the amplitude of the ERN component was increased for errors, followed by fast corrective movements. The results are compatible with recent views considering the ERN component as the output of an evaluative system engaged in monitoring motor conflict.

Some Notes and Comments on the Efficient use of Information in Repeated Games with Poisson Signals

In the present paper we characterize the optimal use of Poisson signals to establish incentives in the "bad" and "good" news models of Abreu et al. [1]. In the former, for small time intervals the signals' quality is high and we observe a "selective" use of information; otherwise there is a "mass" use. In the latter, for small time intervals the signals' quality is low and we observe a "fine" use of information; otherwise there is a "non-selective" use. JEL: C73, D82, D86. KEYWORDS: Repeated Games, Frequent Monitoring, Public Monitoring, Infor- mation Characteristics.

Deformation of Gabor systems

We introduce a new notion for the deformation of Gabor systems. Such deformations are in general nonlinear and, in particular, include the standard jitter error and linear deformations of phase space. With this new notion we prove a strong deformation result for Gabor frames and Gabor Riesz sequences that covers the known perturbation and deformation results. Our proof of the deformation theorem requires a new characterization of Gabor frames and Gabor Riesz sequences. It is in the style of Beurling's characterization of sets of sampling for bandlimited functions and extends significantly the known characterization of Gabor frames 'without inequalities' from lattices to non-uniform sets.

The normal distribution in some constrained sample spaces

Phenomena with a constrained sample space appear frequently in practice. This is the case e.g. with strictly positive data, or with compositional data, like percentages or proportions. If the natural measure of difference is not the absolute one, simple algebraic properties show that it is more convenient to work with a geometry different from the usual Euclidean geometry in real space, and with a measure different from the usual Lebesgue measure, leading to alternative models which better fit the phenomenon under study. The general approach is presented and illustrated using the normal distribution, both on the positive real line and on the D-part simplex. The original ideas of McAlister in his introduction to the lognormal distribution in 1879, are recovered and updated

Informational Aesthetics Measures

The Birkhoff aesthetic measure of an object is the ratio between order and complexity. Informational aesthetics describes the interpretation of this measure from an information-theoretic perspective. From these ideas, the authors define a set of ratios based on information theory and Kolmogorov complexity that can help to quantify the aesthetic experience

Bias and standard error for social reciprocity measurements

The directional consistency and skew-symmetry statistics have been proposed as global measurements of social reciprocity. Although both measures can be useful for quantifying social reciprocity, researchers need to know whether these estimators are biased in order to assess descriptive results properly. That is, if estimators are biased, researchers should compare actual values with expected values under the specified null hypothesis. Furthermore, standard errors are needed to enable suitable assessment of discrepancies between actual and expected values. This paper aims to derive some exact and approximate expressions in order to obtain bias and standard error values for both estimators for round-robin designs, although the results can also be extended to other reciprocal designs.

Fronts with continuous waiting-time distributions: Theory and application to virus infections

We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]

Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

The speed of traveling fronts for a two-dimensional model of a delayed reactiondispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport

Las políticas lingüísticas en Quebec y Cataluña : un reflejo de las dinámicas sociales

Le but de cette recherche est de mieux comprendre les fondements et enjeux sociopolitiques d’un processus d’aménagement linguistique, ainsi que de cerner le rôle que le fait linguistique peut avoir dans le processus de construction d’un système national et dans son fonctionnement et de quelle manière l’application d’une politique linguistique se révèle efficace. Pour ce faire, nous procéderons à une étude comparative des cas concrets de la planification linguistique de la Catalogne et du Québec. Le choix des deux régions se base principalement sur le fait qu’elles représentent toutes les deux un type de nation « subétatique » au sein de laquelle la langue propre (le catalan et le français respectivement) s’est révélée être un élément clé de la représentation de l’identité collective, et qu’elle y possède à la fois un rôle symbolique et participatif. Cependant, la nature du conflit linguistique engendré par la cohabitation entre la langue propre et la langue de l’état (français-anglais/ catalan-espagnol) est visiblement perçu et traité de manière différente dans les deux régions. Donc, les environnements sociopolitiques et linguistiques québécois et catalans offrent à la fois des similitudes et des divergences qui mettent en relief certaines caractéristiques essentielles à la compréhension des mécanismes dans le développement d’une politique linguistique. Les étapes de l’étude se divisent en trois : après une exposition de l’évolution de la théorie de la planification linguistique, seront abordés les moments et évènements historiques marquants, intimement liés au développement du sentiment nationaliste dans les deux régions, ce qui permettra par le fait même d’explorer les relations entre les entités « subétatiques » et étatiques: Québec/Canada et Catalogne/Espagne. Puis seront passés en revue les textes législatifs et juridiques et leur portée. C’est-à-dire que sera vue plus spécifiquement l’application concrète des politiques linguistiques dans les domaines de l’éducation, de l’immigration et des médias de communication. Finalement, au regard des recensements sociolinguistiques les plus récents, les relations seront établies entre les résultats statistiques de l’usage des langues dans les régions respectives et les moyens ayant été déployés dans le cadre de la planification linguistique.

Distributions on the simplex

The simplex, the sample space of compositional data, can be structured as a real Euclidean space. This fact allows to work with the coefficients with respect to an orthonormal basis. Over these coefficients we apply standard real analysis, inparticular, we define two different laws of probability trought the density function and we study their main properties

Inference of distributional parameters from compositional samples containing nondetects

Low concentrations of elements in geochemical analyses have the peculiarity of being compositional data and, for a given level of significance, are likely to be beyond the capabilities of laboratories to distinguish between minute concentrations and complete absence, thus preventing laboratories from reporting extremely low concentrations of the analyte. Instead, what is reported is the detection limit, which is the minimum concentration that conclusively differentiates between presence and absence of the element. A spatially distributed exhaustive sample is employed in this study to generate unbiased sub-samples, which are further censored to observe the effect that different detection limits and sample sizes have on the inference of population distributions starting from geochemical analyses having specimens below detection limit (nondetects). The isometric logratio transformation is used to convert the compositional data in the simplex to samples in real space, thus allowing the practitioner to properly borrow from the large source of statistical techniques valid only in real space. The bootstrap method is used to numerically investigate the reliability of inferring several distributional parameters employing different forms of imputation for the censored data. The case study illustrates that, in general, best results are obtained when imputations are made using the distribution best fitting the readings above detection limit and exposes the problems of other more widely used practices. When the sample is spatially correlated, it is necessary to combine the bootstrap with stochastic simulation