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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: snadaraj@unlserve.unl.edu
D. Yang
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: snadaraj@unlserve.unl.edu
Y. Wang
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: snadaraj@unlserve.unl.edu
S. Nadarajah
Affiliation:
Department of Statistics, University of Nebraska, Lincoln, NE 68583, E-mail: snadaraj@unlserve.unl.edu
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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

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References

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