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.
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© 1981 D. Reidel Publishing Company
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Panaretos, J. (1981). On the Relationship between the Conditional and Unconditional Distribution of a Random Variable. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_35
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DOI: https://doi.org/10.1007/978-94-009-8549-0_35
Publisher Name: Springer, Dordrecht
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