Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

No more tasty surprises: RUB mathematicians develop new statistical method

26.09.2011
In order to calculate the probability of several extreme events occurring at the same time, three scientists at the RUB have developed a new method.

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”.

No more tasty surprises
Calculating the probability of extreme events
RUB mathematicians develop new statistical method
It had to happen: the property bubble burst and the global financial market experienced its biggest crisis in the last hundred years. In retrospect, many suspected it was coming, but nobody could have known for sure. The traditional investment strategy failed, as all forms of investment suddenly collapsed at the same time. In order to calculate the probability of several such extreme events occurring at the same time, three scientists at the RUB have developed a new method. 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.”

Multidimensional function

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 record

Axel 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

http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&h...

Further information

Prof. Dr. Holger Dette, Institute of Statistics, Faculty of Mathematics at the RUB, tel. +49 234 32 28284, holger.dette@rub.de

Editor: Tabea Steinhauer

Dr. Josef König | idw
Further information:
http://www.ruhr-uni-bochum.de/

Further reports about: RUB Statistics mathematics statistical method

More articles from Statistics:

nachricht Institutions of higher education spent more than Euro 48 billion in 2014
19.05.2016 | Statistisches Bundesamt

nachricht Microtechnology industry keen to invest and innovate
07.04.2016 | IVAM Fachverband für Mikrotechnik

All articles from Statistics >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: Traffic jam in empty space

New success for Konstanz physicists in studying the quantum vacuum

An important step towards a completely new experimental access to quantum physics has been made at University of Konstanz. The team of scientists headed by...

Im Focus: How gut bacteria can make us ill

HZI researchers decipher infection mechanisms of Yersinia and immune responses of the host

Yersiniae cause severe intestinal infections. Studies using Yersinia pseudotuberculosis as a model organism aim to elucidate the infection mechanisms of these...

Im Focus: Interfacial Superconductivity: Magnetic and superconducting order revealed simultaneously

Researchers from the University of Hamburg in Germany, in collaboration with colleagues from the University of Aarhus in Denmark, have synthesized a new superconducting material by growing a few layers of an antiferromagnetic transition-metal chalcogenide on a bismuth-based topological insulator, both being non-superconducting materials.

While superconductivity and magnetism are generally believed to be mutually exclusive, surprisingly, in this new material, superconducting correlations...

Im Focus: Studying fundamental particles in materials

Laser-driving of semimetals allows creating novel quasiparticle states within condensed matter systems and switching between different states on ultrafast time scales

Studying properties of fundamental particles in condensed matter systems is a promising approach to quantum field theory. Quasiparticles offer the opportunity...

Im Focus: Designing Architecture with Solar Building Envelopes

Among the general public, solar thermal energy is currently associated with dark blue, rectangular collectors on building roofs. Technologies are needed for aesthetically high quality architecture which offer the architect more room for manoeuvre when it comes to low- and plus-energy buildings. With the “ArKol” project, researchers at Fraunhofer ISE together with partners are currently developing two façade collectors for solar thermal energy generation, which permit a high degree of design flexibility: a strip collector for opaque façade sections and a solar thermal blind for transparent sections. The current state of the two developments will be presented at the BAU 2017 trade fair.

As part of the “ArKol – development of architecturally highly integrated façade collectors with heat pipes” project, Fraunhofer ISE together with its partners...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

Sustainable Water use in Agriculture in Eastern Europe and Central Asia

19.01.2017 | Event News

12V, 48V, high-voltage – trends in E/E automotive architecture

10.01.2017 | Event News

2nd Conference on Non-Textual Information on 10 and 11 May 2017 in Hannover

09.01.2017 | Event News

 
Latest News

Helmholtz International Fellow Award for Sarah Amalia Teichmann

20.01.2017 | Awards Funding

An innovative high-performance material: biofibers made from green lacewing silk

20.01.2017 | Materials Sciences

Ion treatments for cardiac arrhythmia — Non-invasive alternative to catheter-based surgery

20.01.2017 | Life Sciences

VideoLinks
B2B-VideoLinks
More VideoLinks >>>