Munich Personal RePEc Archive

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

Panaretos, John (1981): On the Relationship between the Conditional and Unconditional Distribution of a Random Variable. Published in: Statistical Distributions in Scientific Work , Vol. Vol. 4, (1981): pp. 379-387.

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Abstract

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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