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

All articles from Statistics >>>

The most recent press releases about innovation >>>

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

Im Focus: Manipulating Electron Spins Without Loss of Information

Physicists have developed a new technique that uses electrical voltages to control the electron spin on a chip. The newly-developed method provides protection from spin decay, meaning that the contained information can be maintained and transmitted over comparatively large distances, as has been demonstrated by a team from the University of Basel’s Department of Physics and the Swiss Nanoscience Institute. The results have been published in Physical Review X.

For several years, researchers have been trying to use the spin of an electron to store and transmit information. The spin of each electron is always coupled...

Im Focus: The proton precisely weighted

What is the mass of a proton? Scientists from Germany and Japan successfully did an important step towards the most exact knowledge of this fundamental constant. By means of precision measurements on a single proton, they could improve the precision by a factor of three and also correct the existing value.

To determine the mass of a single proton still more accurate – a group of physicists led by Klaus Blaum and Sven Sturm of the Max Planck Institute for Nuclear...

Im Focus: On the way to a biological alternative

A bacterial enzyme enables reactions that open up alternatives to key industrial chemical processes

The research team of Prof. Dr. Oliver Einsle at the University of Freiburg's Institute of Biochemistry has long been exploring the functioning of nitrogenase....

Im Focus: The 1 trillion tonne iceberg

Larsen C Ice Shelf rift finally breaks through

A one trillion tonne iceberg - one of the biggest ever recorded -- has calved away from the Larsen C Ice Shelf in Antarctica, after a rift in the ice,...

Im Focus: Laser-cooled ions contribute to better understanding of friction

Physics supports biology: Researchers from PTB have developed a model system to investigate friction phenomena with atomic precision

Friction: what you want from car brakes, otherwise rather a nuisance. In any case, it is useful to know as precisely as possible how friction phenomena arise –...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

»We are bringing Additive Manufacturing to SMEs«

19.07.2017 | Event News

The technology with a feel for feelings

12.07.2017 | Event News

Leipzig HTP-Forum discusses "hydrothermal processes" as a key technology for a biobased economy

12.07.2017 | Event News

 
Latest News

Researchers create new technique for manipulating polarization of terahertz radiation

20.07.2017 | Information Technology

High-tech sensing illuminates concrete stress testing

20.07.2017 | Materials Sciences

First direct observation and measurement of ultra-fast moving vortices in superconductors

20.07.2017 | Physics and Astronomy

VideoLinks
B2B-VideoLinks
More VideoLinks >>>