Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
  3. Article
Characterization by truncated moments and its application to Pearson-type distributions
Download PDF
Download PDF
  • Published: 12 September 2013

Characterization by truncated moments and its application to Pearson-type distributions

  • W. Glänzel1,
  • A. Teles1 &
  • A. Schubert1 

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete volume 66, pages 173–183 (1984)Cite this article

  • 148 Accesses

  • 69 Citations

  • 3 Altmetric

  • Metrics details

Summary

A characterization theorem based on the proportional relation between two truncated moments is proved for both continuous and discrete distributions. The results are applied for characterizing distributions of Pearson's system and its discrete analogon.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

References

  • Chen, W.-C: On the Weak Form of Zipf's Law. J. Appl. Probability 17, 611–622 (1980)

    Article  MATH  Google Scholar 

  • Galambos, J., Kotz, S.: Characterizations of Probability Distributions. Lecture Notes in Mathematics 675. Berlin-Heidelberg-New York: Springer 1978

    Google Scholar 

  • Irwin, J.O.: The Generalized Waring Distribution; Parts I, II, III. J.R. Statist. Soc. A 138, 18–31, 204–227, 374–384 (1975)

    Article  MathSciNet  Google Scholar 

  • Kemp, C.D., Kemp, A.W.: Generalized Hypergeometric Distributions. J.R. Statist. Soc. B 18, 202–211 (1956)

    MathSciNet  MATH  Google Scholar 

  • Kotz, S., Shanbhag, D.N.: Some New Approaches to Probability Distributions. Adv. Appl. Probability 12, 903–921 (1980)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department for Informatics and Science Analysis, Library of the Hungarian Academy of Sciences, POB 7, H-1361, Budapest, Hungary

    W. Glänzel, A. Teles & A. Schubert

Authors
  1. W. Glänzel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Teles
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Schubert
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Glänzel, W., Teles, A. & Schubert, A. Characterization by truncated moments and its application to Pearson-type distributions. Z. Wahrscheinlichkeitstheorie verw Gebiete 66, 173–183 (1984). https://doi.org/10.1007/BF00531527

Download citation

  • Received: 28 April 1983

  • Revised: 10 August 1983

  • Published: 12 September 2013

  • Issue Date: July 1984

  • DOI: https://doi.org/10.1007/BF00531527

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Real Function
  • Monotonic Function
  • Discrete Distribution
  • Discrete Random Variable
  • Continuous Random Variable
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature