Prof. Dr. Holger Dette, Dr. Axel Bücher und Dr. Stanislav Volgushev from the Institute of Statistics (Faculty of Mathematics at the Ruhr-Universität) published their findings in the prestigious scientific journal “The Annals of Statistics”.
Big things start small
Up to now, when statisticians estimated the probabilities of extreme events, they usually calculated with dependencies between the outliers of statistical series. The outliers, however, make up the smallest part of a data set, e.g. the largest 100 out of 3,600 data. That means they ignore the dependencies of the bulk of the relevant data set, namely 3,500 data, and thus take the risk that important information is lost. Axel Bücher shows how this problem can be solved: “Our work provides a decision aid as to whether it is better to use the full range of data and not only the outliers. If all the data are relevant, then they should all be included. However, this is not always the case. Sometimes these data would falsify the result.”
The researchers use the copula function for the evaluation. “This is a complicated, multi-dimensional function, which characterises stochastic dependencies between the data” explains Stanislav Volgushev. With this aid, a few years ago we might have noticed that many little termites were nibbling their way into the wooden foundation of the global financial market, whilst we were on the look out for large predators.
Financial crises as motivation for research
“Our research is strongly motivated by the recent financial crises. At that time, almost all the economic models and forecasting tools for loan losses failed because they did not pay sufficient attention to extreme dependencies. In the long run, we aim to develop models and methods that predict such events better” says Prof. Dette, explaining the reason for their research. For several years, the three researchers have been looking into new methods of asymptotic statistics which work with sample sizes approaching infinity. They are financed by the German Research Foundation (DFG) in the Collaborative Research Centre SFB 823 “Statistical modelling of nonlinear dynamic processes”. The English-language publication bears the title “New estimators of the Pickands dependence function and a test for extreme-value dependence”.
Bibliographic recordAxel Bücher, Holger Dette, Stanislav Volgushev: “New estimators of the Pickands dependence function and a test for extreme-value dependence”, in: “The Annals of Statistics”, Volume 39, Number 4, 2011. doi: 10.1214/11-AOS890
Prof. Dr. Holger Dette, Institute of Statistics, Faculty of Mathematics at the RUB, tel. +49 234 32 28284, firstname.lastname@example.org
Editor: Tabea Steinhauer
Dr. Josef König | idw
3% more academic staff at higher education institutions
03.07.2015 | Statistisches Bundesamt
Number of habilitations up 4% in 2014
17.06.2015 | Statistisches Bundesamt
Planet Earth experienced a global climate shift in the late 1980s on an unprecedented scale, fuelled by anthropogenic warming and a volcanic eruption, according to new research published this week.
Scientists say that a major step change, or ‘regime shift’, in the Earth’s biophysical systems, from the upper atmosphere to the depths of the ocean and from...
The Fraunhofer Institute for Solar Energy Systems ISE has installed 70 photovoltaic modules on the outer façade of one of its lab buildings. The modules were...
Nerve cells cover their high energy demand with glucose and lactate. Scientists of the University of Zurich now provide new support for this. They show for the first time in the intact mouse brain evidence for an exchange of lactate between different brain cells. With this study they were able to confirm a 20-year old hypothesis.
In comparison to other organs, the human brain has the highest energy requirements. The supply of energy for nerve cells and the particular role of lactic acid...
In laser material processing, the simulation of processes has made great strides over the past few years. Today, the software can predict relatively well what will happen on the workpiece. Unfortunately, it is also highly complex and requires a lot of computing time. Thanks to clever simplification, experts from Fraunhofer ILT are now able to offer the first-ever simulation software that calculates processes in real time and also runs on tablet computers and smartphones. The fast software enables users to do without expensive experiments and to find optimum process parameters even more effectively.
Before now, the reliable simulation of laser processes was a job for experts. Armed with sophisticated software packages and after many hours on computer...
Researchers at Heidelberg University have devised a new way to study the phenomenon of magnetism. Using ultracold atoms at near absolute zero, they prepared a...
25.11.2015 | Event News
17.11.2015 | Event News
21.10.2015 | Event News
26.11.2015 | Ecology, The Environment and Conservation
26.11.2015 | Materials Sciences
26.11.2015 | Earth Sciences