Skip to main content
SpringerLink
Log in

Characterizations of unimodal distribution functions

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

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

  • 529 Accesses

Abstract

This paper has two purposes: to give a characterization of unimodal distribution functions (Theorem 2.2) and a representation theorem for the class of unimodal distribution functions (Theorem 3.3), both in terms of their Lévy concentration functions.

Who lectured at the meeting at Oberwolfach.

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 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. Bertin, E.M.J., Hengartner, W., and Theodorescu, R., Some characterizations of unimodal distribution functions. Preprint 116, University of Utrecht, Department of Mathematics, 1979.

    Google Scholar 

  2. Bertin, E.M.J., and Theodorescu, R., Some characterizations of discrete unimodality. Preprint 173, University of Utrecht, Department of Mathematics, 1980.

    Google Scholar 

  3. Hengartner, W., and Theodorescu, R., Concentration functions. Academic Press, New York 1973; revised Russian version, Nauka, Moscow 1980.

    MATH  Google Scholar 

  4. Hengartner, W., and Theodorescu, R., A characterization of strictly unimodal distribution functions by their concentration functions. Publ. Inst. Statist. Paris 24 (1978), 1–10.

    MathSciNet  MATH  Google Scholar 

  5. Lukacs, E., Characteristic functions. 2nd ed., Hafner Publ. Co., New York 1970.

    MATH  Google Scholar 

  6. Medgyessi, P., Decomposition of superpositions of density functions and discrete distributions. Adam Hilger, Bristol 1977.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, Budapestlaan 6, 3508 TA, Utrecht

    E. M. J. Bertin

  2. Dépt. de Math., Université Laval, G1K 7P4, Québec

    R. Theodorescu

Authors
  1. E. M. J. Bertin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Theodorescu
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Bertin, E.M.J., Theodorescu, R. (1981). Characterizations of unimodal distribution functions. 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/BFb0097307

Download citation

  • DOI: https://doi.org/10.1007/BFb0097307

  • 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

Search

Navigation