APPLICATION OF RANDOM MATRIX THEORY FOR FINANCIAL MARKET SYSTEMS

APPLICATION OF RANDOM MATRIX THEORY FOR FINANCIAL MARKET SYSTEMS
Author: Michael Jonathan Witte
Publisher:
Total Pages: 74
Release: 2014
Genre: Random matrices
ISBN:

The stock market plays a prominent role in the economy, used as both as an investment area to make wealth and as an overall indicator of its health. Thus, people have been trying to organize and predict the stock market and which stocks would be winners as seen by Peter Sander [1]. Research by Mantegna [2] and Onnela [3] showed that the market has a clear structure and could be represented as Minimal Spanning Trees. Qian [4] reported that the Hurst Exponent, a modeling method of correlation, could be applied to the study of financial markets. This study seeks to model these methods and utilizing Random Matrix Theory, determine whether these methods are valid and, if possible, applicable to a smaller subset of stocks. After review of the gathered data, it was found that while the Hurst Exponent and Minimal Spanning Trees do show structure, they cannot accurately predict future stock performance. In addition, there is no benefit to following a small group of stocks verse the market as a whole with the only exception being the index.

The Oxford Handbook of Random Matrix Theory

The Oxford Handbook of Random Matrix Theory
Author: Gernot Akemann
Publisher: Oxford Handbooks
Total Pages: 0
Release: 2015-08-09
Genre: Mathematics
ISBN: 9780198744191

With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach.In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry.

A First Course in Random Matrix Theory

A First Course in Random Matrix Theory
Author: Marc Potters
Publisher: Cambridge University Press
Total Pages: 371
Release: 2020-12-03
Genre: Computers
ISBN: 1108488080

An intuitive, up-to-date introduction to random matrix theory and free calculus, with real world illustrations and Big Data applications.

International Conference on Applications and Techniques in Cyber Security and Intelligence

International Conference on Applications and Techniques in Cyber Security and Intelligence
Author: Jemal Abawajy
Publisher: Springer
Total Pages: 534
Release: 2017-10-20
Genre: Technology & Engineering
ISBN: 3319670719

This book presents the outcomes of the 2017 International Conference on Applications and Techniques in Cyber Security and Intelligence, which focused on all aspects of techniques and applications in cyber and electronic security and intelligence research. The conference provides a forum for presenting and discussing innovative ideas, cutting-edge research findings, and novel techniques, methods and applications on all aspects of cyber and electronic security and intelligence.