Skip to main content

Reduction of weak limit problems by transformations

  • Conference paper
  • First Online:
Analytical Methods in Probability Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 861))

  • 530 Accesses

Abstract

Weak limit problems for sequences of measures on normal, particularly metric, spaces are reduced by transformations to limit problems on simpler spaces than the original one’s. Subject classification: 60 F 17, 46 G 99.

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.D. Alexandrov, Additive set-functions in abstract spaces: Math. Sb. 8 (1940) pp. 307–348

    MathSciNet  Google Scholar 

  2. Mat. Sb. 9 (1941) pp. 563–628

    Google Scholar 

  3. Math. Sb. 13 (1943) pp. 169–238.

    Google Scholar 

  4. H. Bergström, On weak convergence in normal spaces, Istituto Nazionale di Alta Mathematics, Symposia Mathematics, Vol XXI (1977).

    Google Scholar 

  5. H. Bergström, Representations of infinitely divisible probability measures in l2 and some of its subspaces, 21. Analytic function methods in probability theory, Debrecen (Hungary), (1977).

    Google Scholar 

  6. P. Billingsley, Convergence of probability measures, John Wiley and Sons Inc., New York, London, Sydney, Toronto (1968).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Daniel Dugué Eugene Lukacs Vijay K. Rohatgi

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Bergström, H. (1981). Reduction of weak limit problems by transformations. In: Dugué, D., Lukacs, E., Rohatgi, V.K. (eds) Analytical Methods in Probability Theory. Lecture Notes in Mathematics, vol 861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097306

Download citation

  • DOI: https://doi.org/10.1007/BFb0097306

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10823-8

  • Online ISBN: 978-3-540-36785-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics