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CONDITIONAL POISSON DISTRIBUTIONS

Published online by Cambridge University Press:  12 December 2005

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]

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
Copyright
© 2006 Cambridge University Press

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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.