Skip to main content

On Understanding the Structure of Variance-Covariance Matrix for Dealing with Fuzziness in Financial Markets

  • Conference paper
Fuzzy Logic

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 81))

  • 531 Accesses

Abstract

An approach to deal with fuzziness in financial markets by using random matrix theory is proposed. Recent results provide evidence of their importance in understanding the structure of variance-covariance matrix. Formulations that might go beyond the mean-variance model in financial optimization are suggested.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Pardalos (1997) Optimization Techniques for Portfolio Selection, in New Operational Approaches for Financial Modelling, C. Zopounidis (ed), PhysicaVerlag, pp. 19–33.

    Book  Google Scholar 

  2. H. Markowitz (1952) “Portfolio Selection”, The Journal of Finance, vol. 7, No. 1, pp. 77–91.

    Google Scholar 

  3. C. Porter and N. Rosenzweig (1960) “Statistical Properties of Atomic and Nuclear Spectra”, Annales Academiae Scientiarum Fennicae, Serie A, VI Physica, 44, pp. 1–66.

    Google Scholar 

  4. F. Dyson and M. Mehta (1963) Journal of Math. Phys, vol. 4, pp. 701–712.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. Mehta (1995) Random Matrices Academic Press, New York.

    Google Scholar 

  6. E. Wigner (1951) Ann. Math, vol 53, p. 36.

    Article  MathSciNet  MATH  Google Scholar 

  7. V. Plerou, P. Gopikrishnan, B. Rosenow, L. Amaral and E. Stanley (1999) “Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series”, Physical Review Letters, vol. 83, No. 7, pp. 1471–1475.

    Article  Google Scholar 

  8. A. Sengupta and P. Mitra cond-mat/9709283.

    Google Scholar 

  9. T. Brody et al (1981) Rev. Mod. Phys., vol. 53, p. 385.

    Article  MathSciNet  Google Scholar 

  10. L. Laloux, P. Cizeau, J-P. Bouchaud and M. Porters (1999) “Noise Dressing of Financial Correlation Matrices”, Physical Review Letters, vol. 83, No. 7, pp. 1467–1470.

    Article  Google Scholar 

  11. E. Elton and M. Gruber (1995) Modern Portfolio Theory and Investment Analysis, J. Wiley and Sons, New York.

    Google Scholar 

  12. A. Edelman (1988) SIAM J. Matrix Anal. Appl, vol. 9, p. 543.

    Article  MathSciNet  MATH  Google Scholar 

  13. M. Bowick and E. Brezin (1991) Phys. Lett. B, vol. 268, p. 21.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Korotkikh, G. (2002). On Understanding the Structure of Variance-Covariance Matrix for Dealing with Fuzziness in Financial Markets. In: Dimitrov, V., Korotkich, V. (eds) Fuzzy Logic. Studies in Fuzziness and Soft Computing, vol 81. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1806-2_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1806-2_15

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2496-4

  • Online ISBN: 978-3-7908-1806-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics