On the Hill estimator: a comparison of methods

Extreme value theory (EVT) deals with the occurrence of extreme phenomena. The tail index is a very important parameter appearing in the estimation of the probability of rare events. Under a semiparametric framework, inference requires the choice of a number k of upper order statistics to be considered. This is the crux of the matter and there is no definite formula to do it, since a small k leads to high variance and large values of k tend to increase the bias. Several methodologies have emerged in literature, specially concerning the most popular Hill estimator (Hill, 1975). In this work we compare through simulation well-known procedures presented in Drees and Kaufmann (1998), Matthys and Beirlant (2000), Beirlant et al. (2002) and de Sousa and Michailidis (2004), with a heuristic scheme considered in Frahm et al. (2005) within the estimation of a different tail measure but with a similar context. We will see that the new method may be an interesting alternative.

Comparing different methods to measure biofilm thickness: the techniques are: optical coherence tomography, confocal laser scanning microscopy and low load compression test

Dissertação de mestrado integrado em Engenharia Biomédica (área de especialização em Engenharia Clínica)

Assessment of innovative solutions for non-load bearing masonry enclosures

This paper presents some of the results of the research project “Masonry Enclosures” developed in the framework of the transnational access (TA) to LNEC’s triaxial shake table within the FP7 project SERIES.

Organic load of substrata for wastewater treatment constructed wetlands

In Portugal the use of Constructed Wetlands (CW) for wastewater treatment has been increasing. However a number of these facilities need new strategies to achieve better efficiency. Keeping the culms of reeds on the CW beds not always results as desired, but the use of widely available agro-forest wastes, may be suitable as CW support matrix. This study was performed at lab-scale with dried culms of Phragmites and eucalyptus bark maintained in tap water, to assess them as CW substrata. With a 7 days residence time in water, Phragmites culms added a high organic load (about 400 mg L-1 BOD5) to the medium, while the eucalyptus bark added only, about 60 mg L-1 BOD5. However, by lixiviation, the organic load decreased to about 25 mg L-1 BOD5 in 5 weeks. With the organic load reduction of the leachate water, its surface tension increased, approaching the surface tension of tap water.