Skip to main content
Log in

On the increments distribution of stock prices

  • Published:
Applied Mathematics-A Journal of Chinese Universities Aims and scope Submit manuscript

Abstract

In this paper, the models of increment distributions of stock price are constructed with two approaches. The first approach is based on limit theorems of random summation. The second approach is based on the statistical analysis of the increment distribution of the logarithms of stock prices.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gnedenko, B. V. and Korolev, V. Yu., Random Summation: Limit Theorem and Applications, CRC Press, Boca Raton, Florida, 1996.

    MATH  Google Scholar 

  2. Korolev, V. Yu., The construction of models of distributions of stock prices by the methods of the asymptotic theory of random summation,—Surveys in Applied and Industrial Mathematics, Ser. Financial and Insurance Mathematics, 1997, 4(1):86–102.

    Google Scholar 

  3. Hull, J., Options, Futures and Other Derivative Securities, Pretice-Hall, New York-London, 1989.

    Google Scholar 

  4. Zolotarev, V. M., One-dimensional Stable Distributions, American Mathematical Society, Provindence, RI, 1985.

    Google Scholar 

  5. Borndorff-Nielsen, O. E., Gaussian | Inverse Gaussian Processes and the Modeling of Stock Returns, Preprint. Aarhus, Aarhus University, 04 October 1994.

    Google Scholar 

  6. Bagirov, E. B., The method of mixtures and its application to the deduction of lower estimates for the distributions of functions of normal random variables, PhD thesis, Steklov Mathematical Institute, Moscow, 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the NSFC (79970022) and Aviation Fund (98J53125).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu, K.V., Xuanmin, Z. & Bening, V.E. On the increments distribution of stock prices. Appl. Math. Chin. Univ. 16, 315–322 (2001). https://doi.org/10.1007/s11766-001-0071-6

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11766-001-0071-6

Subject Classification

Keywords

Navigation