Skip to main content
Log in

On a new system of discrete distributions and characterizations of several discrete distributions by equality of distributions

  • Distribution and Characterization
  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

This paper deals with a new system of discrete distributions. It also gives several characterizations of the Waring (and hence the Yule) distribution (and its truncated versions), the super-Poisson, the discrete uniform and other discrete distributions by using this system and other such systems existing in the literature, and linear regression. Continuous analogues of the above results are also briefly discussed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bissinger, B. H. (1965). A type-resisting distribution generated from considerations of an inventory decision model, Classical and Contagious Discrete Distributions, (ed. G. P.Patil), 15–17, Statistical Publishing Society, Calcutta.

    Google Scholar 

  • Irwin, J. O. (1965). Inverse factorial series as frequency distributions, Classical and Contagious Discrete Distributions (ed. G. P.Patil), 159–174, Statistical Publishing Society, Calcutta.

    Google Scholar 

  • Johnson, N. L. and Kotz, S. (1969). Discrete Distributions, Houghton-Mifflin, Boston.

    Google Scholar 

  • Johnson, N. L. and Kotz, S. (1970). Continuous Univariate Distributions—1, Wiley, New York.

    Google Scholar 

  • Katz, L. (1945). Characteristics of frequency functions obtained by first order difference equations, Dissertation, University of Michigan.

  • Katz, L. (1965). Unified treatment of a broad class of discrete probability distributions, Classical and Contagious Discrete Distributions, (ed. G. P.Patil), 175–182, Statistical Publishing Society, Calcutta.

    Google Scholar 

  • Krishnaji, N. (1970). A characteristic property of the Yule distribution, Sankhyā Ser. A, 32, 343–346.

    Google Scholar 

  • Ord, J. K. (1967a). Graphical methods for a class of discrete distributions. J. Roy. Statist. Soc. Ser. A, 130, 232–238.

    Google Scholar 

  • Ord, J. K. (1967b). On a system of discrete distributions, Biometrika, 54, 649–656.

    Google Scholar 

  • Patil, G. P. and Joshi, S. W. (1968). A Dictionary and Bibliography of Discrete Distributions, Oliver & Boyd, Edinburgh.

    Google Scholar 

  • Patil, G. P. and Rao, C. R. (1977). The weighted distributions: A survey of their applications, Applications of Statistics, (ed. P. R.Krishnaiah), 383–405, North-Holland, Amsterdam.

    Google Scholar 

  • Rao, C. R. (1965). On discrete distributions arising out of methods of ascertainment, Classical and Contagious Discrete Distributions, (ed. G. P.Patil), 320–332, Statistical Publishing Society, Calcutta.

    Google Scholar 

  • Xekalaki, E. (1983). A property of the Yule distribution and its applications, Comm. Statist. A—Theory Methods, 12, 1181–1188.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Korwar, R.M. On a new system of discrete distributions and characterizations of several discrete distributions by equality of distributions. Ann Inst Stat Math 41, 305–321 (1989). https://doi.org/10.1007/BF00049398

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00049398

Key words and phrases

Navigation