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Original Articles

Asymptotic Estimators for Parameters of Hyperbolic Densities in Finance

Pages 1-16 | Received 01 Sep 2004, Accepted 01 Jun 2013, Published online: 09 Feb 2016

References

  • Abramowitz, M. and Stegun, I. (1968). Handbook of Mathematical Functions. With Formulas, Graphs and Mathematical Tables. Dover Publications.
  • Barndorff-Nielsen, O. E. (1977). Exponentially decreasing distributions for the logarithm of particle size. Proceedings of The Royal Society London Series A, 353, 401–419.
  • Barndorff-Nielsen, O. E. (1978). Hyperbolic distributions and distributions on hyperbolae. Scandinavian Journal of Statistics, 5, 151–157.
  • Barndorff-Nielsen, O. E. and Halgreen, O. (1977). Infinite divisibility of the hyperbolic and generalized inverse Gaussian distribution. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 38, 309–312.
  • Bibby, B. M. and Sorensen, M. (2001). Hyperbolic Processes in Finance, in RACHEV, S. (Ed.) Handbook of Heavy Tailed Distributions in Finance. Elsevier Science.
  • Bibby, B. M. and Sorensen, M. (1997). A hyperbolic diffusion model for stock prices. Finance and Stochastics, 1, 25–41.
  • Bickel, P. J. and Doksum, K. A. (1977). Mathematical Statistics: Basic ideas and Selected Topics. Holden-Day.
  • Blœsild, P. and Sorensen, M. K. (1992). ‘hyp’ – a computer program for analyzing data by means of the hyperbolic distribution, Research Report No. 248, Department of Theoretical Statistics, University of Aarhus.
  • Eberlein, E. (1998). Moderne Finanzmathematik, Mitteilungen der DMV, 3, 10–20.
  • Eberlein, E. (2001). Application of generalized hyperbolic Lévy motions to finance. In: Lévy Processes: Theory and Applications, 319–337.
  • Eberlein, E. and Keller, U. (1995). Hyperbolic Distributions in Finance. Bernoulli, 1, 281–299.
  • Eberlein, E., Keller, U. and Prause, K. (1998). New insights into smile, mispricing and value at risk: the hyperbolic model. Journal of Business, 71, 371–405.
  • Fajardo, J. and Farias, A. (2002). Generalized Hyperbolic Distributions and Brazilian Data. Working Paper Series, 52, Banco Central Do Brasil.
  • Geman, H. (2002). Pure jump Lévy processes for asset price modeling. Journal of Banking and Finance, 26, 1297–1316.
  • Gerber, H.U. and Shiu, E. S. W. (1994). Option Pricing by Esscher Transforms. Transactions of the Society of Actuaries XLVI, 99–140.
  • Hartinger, J. (2004). Quasi-Monte Carlo Techniques in Financial and Actuarial Mathematics. Dissertation, Graz University of Technology.
  • Judge, G. G., Hill, R. C., Griffiths, W. E., Lütkepohl, H. and Lee, T. (1988). Introduction to the Theory and Practice of Econometrics. John Wiley & Sons.
  • Seydel, R. (2003). Tools for Computational Finance. Springer.

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