Statistical Distributions in Scientific Work pp 379-387 | Cite as

# On the Relationship between the Conditional and Unconditional Distribution of a Random Variable

Conference paper

## Summary

This paper studies the relationship between the unconditional and conditional distribution of the same random variable, say Y, when the distribution of the conditioning random variable X is of a known form. The problem is tackled in the general case where the distribution of Y and Y given X are mixed. Attention is focused to two particular cases. In the first X is assumed to follow a Poisson distribution; in the second X is allowed to have a mixed Poisson form. Potential applications are also discussed.

## Key Words

Mixed distributions Poisson distribution characterization## Preview

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## Copyright information

© D. Reidel Publishing Company 1981