On the concept of optimality interval

The approximants to regular continued fractions constitute `best approximations' to the numbers they converge to in two ways known as of the first and the second kind.This property of continued fractions provides a solution to Gosper's problem of the batting average: if the batting average of a baseball player is 0.334, what is the minimum number of times he has been at bat? In this paper, we tackle somehow the inverse question: given a rational number P/Q, what is the set of all numbers for which P/Q is a `best approximation' of one or the other kind? We prove that inboth cases these `Optimality Sets' are intervals and we give aprecise description of their endpoints.

Simple and fast methods based on solid-phase extraction coupled to liquid chromatography with UV detection for the monitoring of caffeine in natural and waste waters as marker of anthropogenic impact

Two concentration methods for fast and routine determination of caffeine (using HPLC-UV detection) in surface, and wastewater are evaluated. Both methods are based on solid-phase extraction (SPE) concentration with octadecyl silica sorbents. A common “offline” SPE procedure shows that quantitative recovery of caffeine is obtained with 2 mL of an elution mixture solvent methanol-water containing at least 60% methanol. The method detection limit is 0.1 μg L−1 when percolating 1 L samples through the cartridge. The development of an “online” SPE method based on a mini-SPE column, containing 100 mg of the same sorbent, directly connected to the HPLC system allows the method detection limit to be decreased to 10 ng L−1 with a sample volume of 100 mL. The “offline” SPE method is applied to the analysis of caffeine in wastewater samples, whereas the “on-line” method is used for analysis in natural waters from streams receiving significant water intakes from local wastewater treatment plants

Nets: Network estimation for time series

This work proposes novel network analysis techniques for multivariate time series.We define the network of a multivariate time series as a graph where verticesdenote the components of the process and edges denote non zero long run partialcorrelations. We then introduce a two step LASSO procedure, called NETS, toestimate high dimensional sparse Long Run Partial Correlation networks. This approachis based on a VAR approximation of the process and allows to decomposethe long run linkages into the contribution of the dynamic and contemporaneousdependence relations of the system. The large sample properties of the estimatorare analysed and we establish conditions for consistent selection and estimation ofthe non zero long run partial correlations. The methodology is illustrated with anapplication to a panel of U.S. bluechips.

A limited area model intercomparison on the "Montserrat-2000" flash-flood event using statistical and deterministic methods

In the scope of the European project Hydroptimet, INTERREG IIIB-MEDOCC programme, limited area model (LAM) intercomparison of intense events that produced many damages to people and territory is performed. As the comparison is limited to single case studies, the work is not meant to provide a measure of the different models' skill, but to identify the key model factors useful to give a good forecast on such a kind of meteorological phenomena. This work focuses on the Spanish flash-flood event, also known as "Montserrat-2000" event. The study is performed using forecast data from seven operational LAMs, placed at partners' disposal via the Hydroptimet ftp site, and observed data from Catalonia rain gauge network. To improve the event analysis, satellite rainfall estimates have been also considered. For statistical evaluation of quantitative precipitation forecasts (QPFs), several non-parametric skill scores based on contingency tables have been used. Furthermore, for each model run it has been possible to identify Catalonia regions affected by misses and false alarms using contingency table elements. Moreover, the standard "eyeball" analysis of forecast and observed precipitation fields has been supported by the use of a state-of-the-art diagnostic method, the contiguous rain area (CRA) analysis. This method allows to quantify the spatial shift forecast error and to identify the error sources that affected each model forecasts. High-resolution modelling and domain size seem to have a key role for providing a skillful forecast. Further work is needed to support this statement, including verification using a wider observational data set.

Introduction of sensor spectral response into image fusion methods. Application to wavelet-based methods

Usual image fusion methods inject features from a high spatial resolution panchromatic sensor into every low spatial resolution multispectral band trying to preserve spectral signatures and improve spatial resolution to that of the panchromatic sensor. The objective is to obtain the image that would be observed by a sensor with the same spectral response (i.e., spectral sensitivity and quantum efficiency) as the multispectral sensors and the spatial resolution of the panchromatic sensor. But in these methods, features from electromagnetic spectrum regions not covered by multispectral sensors are injected into them, and physical spectral responses of the sensors are not considered during this process. This produces some undesirable effects, such as resolution overinjection images and slightly modified spectral signatures in some features. The authors present a technique which takes into account the physical electromagnetic spectrum responses of sensors during the fusion process, which produces images closer to the image obtained by the ideal sensor than those obtained by usual wavelet-based image fusion methods. This technique is used to define a new wavelet-based image fusion method.

Algunes reflexions sobre la construcció d'indicadors indirectes pel seguiment de l'activitat industrial regional

En un gran nombre d'economies, l'evolució de la producció industrial s'analitza a partir de la informació sobre el Producte Industrial Brut i/o el Valor Afegit Brut que proporcionen les Comptabilitats Nacionals. A Espanya, la utilització d'aquestes dades presenta el problema que no estan disponibles tan ràpidament com seria desitjable. En conseqüència, no és possible realitzar un seguiment a curt termini de l'activitat industrial a partir dels mateixos. Per a solucionar aquest problema, l'Institut Nacional d'Estadística elabora un Índex de Producció Industrial mensual a partir de la informació obtinguda a través d'una enquesta dirigida a una mostra representativa de les empreses espanyoles. No obstant això, a nivell regional, les dificultats per a realitzar un seguiment de l'activitat industrial són majors a causa de l'escassesa d'informació estadística. Durant els últims anys, diferents institucions públiques i privades han començat a elaborar indicadors d'activitat per a algunes regions espanyoles, encara que a partir de metodologies no homogènies, de manera que aquests índexs no són directament comparables. Per a corregir aquesta situació, en diferents fòrums s'ha proposat emprar la metodologia utilitzada per l'Institut d'Estadística de Catalunya (IEC) per a la comunitat catalana com alternativa per a aquelles comunitats espanyoles que no disposen d'un indicador de l'activitat industrial, atès que per a Catalunya resulta una metodologia adequada. En aquest treball s'estudia la idoneïtat d'estendre aquesta metodologia a la resta de regions espanyoles. Per a això, es construeixen uns indicadors d'acord amb la metodologia del IEC i es comparen amb els índexs regionals obtinguts per mètodes directes per a tres de les quatre regions que existeixen: Andalusia, Astúries i Euskadi

A time-domain method for the analysis of thermal impedance response preserving the convolution form

The study of the thermal behavior of complex packages as multichip modules (MCM¿s) is usually carried out by measuring the so-called thermal impedance response, that is: the transient temperature after a power step. From the analysis of this signal, the thermal frequency response can be estimated, and consequently, compact thermal models may be extracted. We present a method to obtain an estimate of the time constant distribution underlying the observed transient. The method is based on an iterative deconvolution that produces an approximation to the time constant spectrum while preserving a convenient convolution form. This method is applied to the obtained thermal response of a microstructure as analyzed by finite element method as well as to the measured thermal response of a transistor array integrated circuit (IC) in a SMD package.

Algunes reflexions sobre la construcció d'indicadors indirectes pel seguiment de l'activitat industrial regional

En un gran nombre d'economies, l'evolució de la producció industrial s'analitza a partir de la informació sobre el Producte Industrial Brut i/o el Valor Afegit Brut que proporcionen les Comptabilitats Nacionals. A Espanya, la utilització d'aquestes dades presenta el problema que no estan disponibles tan ràpidament com seria desitjable. En conseqüència, no és possible realitzar un seguiment a curt termini de l'activitat industrial a partir dels mateixos. Per a solucionar aquest problema, l'Institut Nacional d'Estadística elabora un Índex de Producció Industrial mensual a partir de la informació obtinguda a través d'una enquesta dirigida a una mostra representativa de les empreses espanyoles. No obstant això, a nivell regional, les dificultats per a realitzar un seguiment de l'activitat industrial són majors a causa de l'escassesa d'informació estadística. Durant els últims anys, diferents institucions públiques i privades han començat a elaborar indicadors d'activitat per a algunes regions espanyoles, encara que a partir de metodologies no homogènies, de manera que aquests índexs no són directament comparables. Per a corregir aquesta situació, en diferents fòrums s'ha proposat emprar la metodologia utilitzada per l'Institut d'Estadística de Catalunya (IEC) per a la comunitat catalana com alternativa per a aquelles comunitats espanyoles que no disposen d'un indicador de l'activitat industrial, atès que per a Catalunya resulta una metodologia adequada. En aquest treball s'estudia la idoneïtat d'estendre aquesta metodologia a la resta de regions espanyoles. Per a això, es construeixen uns indicadors d'acord amb la metodologia del IEC i es comparen amb els índexs regionals obtinguts per mètodes directes per a tres de les quatre regions que existeixen: Andalusia, Astúries i Euskadi

On the consequences of misspecifing assumptions concerning residuals distribution in a repeated measures and nonlinear mixed modelling context

In this paper we describe the results of a simulation study performed to elucidate the robustness of the Lindstrom and Bates (1990) approximation method under non-normality of the residuals, under different situations. Concerning the fixed effects, the observed coverage probabilities and the true bias and mean square error values, show that some aspects of this inferential approach are not completely reliable. When the true distribution of the residuals is asymmetrical, the true coverage is markedly lower than the nominal one. The best results are obtained for the skew normal distribution, and not for the normal distribution. On the other hand, the results are partially reversed concerning the random effects. Soybean genotypes data are used to illustrate the methods and to motivate the simulation scenarios

Surface collective oscillations of metal clusters and spheres: Random-phase-approximation sum-rules approach

Using the once and thrice energy-weighted moments of the random-phase-approximation strength function, we have derived compact expressions for the average energy of surface collective oscillations of clusters and spheres of metal atoms. The L=0 volume mode has also been studied. We have carried out quantal and semiclassical calculations for Na and Ag systems in the spherical-jellium approximation. We present a rather thorough discussion of surface diffuseness and quantal size effects on the resonance energies.

Systematics of properties of the electron gas in deep-etched quantum wires

An efficient method is developed for an iterative solution of the Poisson and Schro¿dinger equations, which allows systematic studies of the properties of the electron gas in linear deep-etched quantum wires. A much simpler two-dimensional (2D) approximation is developed that accurately reproduces the results of the 3D calculations. A 2D Thomas-Fermi approximation is then derived, and shown to give a good account of average properties. Further, we prove that an analytic form due to Shikin et al. is a good approximation to the electron density given by the self-consistent methods.

Spin and density longitudinal response of quantum dots in the time-dependent local-spin-density approximation

The longitudinal dipole response of a quantum dot has been calculated in the far-infrared regime using local-spin-density-functional theory. We have studied the coupling between the collective spin and density modes as a function of the magnetic field. We have found that the spin dipole mode and single-particle excitations have a sizable overlap, and that the magnetoplasmon modes can be excited by the dipole spin operator if the dot is spin polarized. The frequency of the dipole spin edge mode presents an oscillation which is clearly filling factor (v) related. We have found that the spin dipole mode is especially soft for even-n values. Results for selected numbers of electrons and confining potentials are discussed.