Skip to main content
SpringerLink
Log in

Multidimensional infinitely divisidle variables and processes Part II

  • Conference paper
  • First Online:
Probability in Banach Spaces III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 860))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. de Acosta, A. (1980). An invariance principle in probability for triangular arrays of B-valued random vectors. Proceedings of the Colloque International du C.N.R.S. sur les Processus Gaussiens (St. Flour, France, June 1980).

    Google Scholar 

  2. Akritas, M. (1979). Asymptotic theory for estimating the parameters of a Lévy processes. Tech. Rep. No. 11, Dept. of Math. Mass. Institute of Technology.

    Google Scholar 

  3. Campbell, N. (1909). The study of discontinuous phenomena. Proc. Camb. Phil. Soc. 15, 117–136

    Google Scholar 

  4. Ferguson, T. and Klass, M. (1972). A representation of independent increment processes without gaussian components. Ann. Math. Stat. Vol. 43, #5, 1634–1643.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hudson, W. and Tucker, H. (1975). Equivalence of infinitely divisible distributions. Ann. of Prob. Vol. 3, No. 1, 70–79.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ito, K. (1969). Stochastic processes, Aarhus University. Lec. Notes #16

    Google Scholar 

  7. Krakowiak, W. (1980). Operator-stable probability measures on Banach spaces. Colloquium Mathematicum. (In print).

    Google Scholar 

  8. Kuelbs, J. (1973). A representation theorem for symmetric stable processes and stable measures on H. Z. Wahrscheinlichkeitstheorie verw. Geb. 26, 259–271.

    Article  MathSciNet  MATH  Google Scholar 

  9. LePage, R., Woodroofe, M. and Zinn, J. (1980). Convergence to a stable distribution via order statistics. Annals of Probability (to appear 1981).

    Google Scholar 

  10. LePage, R. (1980a). Multidimensional infinitely divisible variables and processes. Part I: Stable case. Technical report No. 292. Stanford University

    Google Scholar 

  11. Lévy, P. (1954). Theorie de l'addition des variables aleatoires. Gauthier-Villars, Paris.

    MATH  Google Scholar 

  12. Mandrekar, V. and Hamedani, G. (1980). Lévy-Khichine representation and Banach spaces of type and cotype. Studia Hathematica, T. LXVI.

    Google Scholar 

  13. Resnick, S. (1976). An extremal decomposition of a process with stationary, independent increments. Tech. Rep. No. 79, Dept. of Stat., Stanford University Stanford, California.

    Google Scholar 

  14. Schilder, M. (1970). Some structure theorems for the symmetric stable laws. Ann. Math. Stat. Vol. 41, No. 2 412–421.

    Article  MathSciNet  MATH  Google Scholar 

  15. Sharpe, M. (1967). Operator-stable probability distributions on vector groups. Transactions Amer. Math. Soc., 136, 51–65.

    Article  MathSciNet  MATH  Google Scholar 

  16. Vervaat, W. (1979). On a stochastic difference equation and a representation of non-negative infinitely divisible random variables. Adv. Appl. Prob. 11, 750–783.

    MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. Raoul LePage
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Anatole Beck

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

LePage, R. (1981). Multidimensional infinitely divisidle variables and processes Part II. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090622

Download citation

  • DOI: https://doi.org/10.1007/BFb0090622

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10822-1

  • Online ISBN: 978-3-540-38710-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation