Skip to main content
SpringerLink
Log in

A generalization of the matching distribution

  • Notes
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

The Matching Distribution converges to a Poisson Distribution with λ=1 as the parameter n converges to infinity. A generalization of the Matching Distribution is proposed. The properties of this Generalized Matching Distribution (GMD) turn out to be analogical to the case with λ=1.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alt, F. B. (1985), The Matching Problem, Encyclopedia of Statistical Sciences, Vol. 5, S. Kotz, N. L. Johnson and C. B. Read (editors), New York, Wiley, 293–296.

    Google Scholar 

  • Dwass, M. (1970), Probability and Statistics: An Undergraduate Course, W. A. Benjamin, INC., Menlo Park, California.

    MATH  Google Scholar 

  • Irwin, J. O. (1955), A unified Derivation of some well-known Frequency Distributions of Interest in Biometry and Statistics, Journal of the Royal Statistical Society, Series A, Vol. 100, 266–268.

    Google Scholar 

  • Krämer, W. (1995), Denkste! Trugschlüsse aus der Welt des Zufalls und der Zahlen, Campus Verlag, Frankfurt and New York.

    Google Scholar 

  • Montmort, P. R. de (1713), Essay d'Analyse sur les Jeux de Hazard, 2nd ed. Paris. (Reprint: Chelsea House, New York, 1981)

  • Vernon, P. E. (1936), The Matching Method applied to Investigations of Personality, Psychological Bulletin, Vol. 33, 149–177.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Quantitative Wirtschaftsforschung, Universität Hannover, D-30167, Hannover, Germany

    Stefan Niermann

Authors
  1. Stefan Niermann
    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

Niermann, S. A generalization of the matching distribution. Statistical Papers 40, 233–238 (1999). https://doi.org/10.1007/BF02925521

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02925521

Keywords

Search

Navigation