Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-11T02:10:37.919Z Has data issue: false hasContentIssue false
  • English
  • Français

CONDITIONAL POISSON DISTRIBUTIONS

Published online by Cambridge University Press:  12 December 2005

M. Zhou ,
D. Yang ,
Y. Wang  and
S. Nadarajah
M. Zhou
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: [email protected]
D. Yang
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: [email protected]
Y. Wang
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: [email protected]
S. Nadarajah
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Compared to the known univariate distributions for continuous data, there are relatively few available for discrete data. In this article, we derive a collection of 16 flexible discrete distributions by means of conditional Poisson processes. The calculations involve the use of several special functions and their properties.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 1 , January 2006 , pp. 95 - 102
Copyright
© 2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Gradshteyn, I.S. & Ryzhik, I.M. (2000). Table of integrals, series, and products, 6th ed. San Diego: Academic Press.
Johnson, N.L., Kotz, S., & Balakrishnan, N. (1994). Continuous univariate distributions, Vol. 1, 2nd ed. New York: Wiley.
Johnson, N.L., Kotz, S., & Balakrishnan, N. (1995). Continuous univariate distributions, Vol. 2, 2nd ed. New York: Wiley.
Johnson, N.L., Kotz, S., & Kemp, A.W. (1992). Univariate discrete distributions, 2nd ed. New York: Wiley.
Prudnikov, A.P., Brychkov, Y.A., & Marichev, O.I. (1986). Integrals and series, Vols. 1, 2, and 3. Amsterdam: Gordon and Breach Science.
Ross, S.M. (2000). Introduction to probability models, 7th ed. Burlington, MA: Harcourt/Academic Press.