Skip to main content

A necessary condition for the central limit theorem on spaces of stable type

  • Conference paper
  • First Online:
Vector Space Measures and Applications I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 644))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. De Acosta, Stable measures and seminorms, Ann. Prob. 3(1975), 865–875.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. de Acosta, Asymptotic behavior of stable measures, Ann. Prob. 5(1977), 494–499.

    Article  MathSciNet  MATH  Google Scholar 

  3. I. Csiszar and B. S. Rajput, A convergence of types theorem for probability measures on topological vector spaces with application to stable laws, Z. Wahrscheinlichkeitstheorie verw. Gebiete 36(1976), 1–7.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Hoffmann-Jørgensen and G. Pisier, The law of large numbers and the central limit theorem in Banach spaces, Ann. Prob. 4(1976), 587–599.

    Article  MathSciNet  MATH  Google Scholar 

  5. M. B. Marcus and W. A. Woyczynski, Stable measures and central limit theorems in spaces of stable type (submitted for publications).

    Google Scholar 

  6. D. Mouchtari, Sur ℓ'existence d'une topologie de Sazonov sur une espace de Banach, Seminaire Maurey-Schwartz, 1975–1976, Exposé XVII.

    Google Scholar 

  7. A. Tortrat, Sur les lois e(λ) dans les espaces vectorielles; Applications aux lois stables, Z. Wahrscheinlichkeitstheorie verw. Gebiete 37(1976), 175–182.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Richard M. Aron Seán Dineen

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Marcus, M.B., Woyczynski, W.A. (1978). A necessary condition for the central limit theorem on spaces of stable type. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications I. Lecture Notes in Mathematics, vol 644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066854

Download citation

  • DOI: https://doi.org/10.1007/BFb0066854

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08668-0

  • Online ISBN: 978-3-540-35906-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics