Skip to main content

On regularly varying multivalued functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1546)

Keywords

  • Multivalued Function
  • Regular Variation
  • Numerical Function
  • Tauberian Theorem
  • Unbounded Sequence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. de Haan and E. Omey, Integrals and derivatives of regularly varying functions in Rd and domains of attraction of stable distributions II, Stoch. Proc. Appl., 16 (1983), pp. 157–170.

    CrossRef  MATH  Google Scholar 

  2. L. de Haan and S. I. Resnick, On regular variation of probability densities, Stoch. Proc. Appl., 25 (1987), pp. 83–93.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G. Matheron, Random Sets and Integral Geometry, Wiley, New York, 1975.

    MATH  Google Scholar 

  4. I. S. Molchanov, On limit theorems for unions of random closed sets, in: Abstracts of the 5th School of Young Mathematicians of Siberia and Far East, Novosibirsk (1990), pp. 73–74. (In Russian.)

    Google Scholar 

  5. T. Norberg, Convergence and existence of random set distributions, Ann. Probab., 12 (1984), pp. 726–732.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. E. Seneta, Regularly Varying Functions, Springer, Berlin etc., 1976.

    CrossRef  MATH  Google Scholar 

  7. A. L. Yakimiv, Multivariate Tauberian theorems and their application to the Bellman-Harris branching processes, Math. USSR Sb., 115 (1981), pp. 463–477.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1993 Springer-Verlag

About this paper

Cite this paper

Molchanov, I.S. (1993). On regularly varying multivalued functions. In: Kalashnikov, V.V., Zolatarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084487

Download citation

  • DOI: https://doi.org/10.1007/BFb0084487

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56744-8

  • Online ISBN: 978-3-540-47645-0

  • eBook Packages: Springer Book Archive