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I am trying to find out what would be the significance of the result of multiplication of two marginal densities that originate from the integration of the a joint density function that connects them. To be more specific let's say we have a joint density function of two random variables. One integrates the joint density with respect to one variable in order to obtain the marginal distribution of the other. If one does this for both variables, two marginal densities are obtained. What would the product of these two marginal densities signify?

Although the product is a joint density function itself it assumes independence, which I am not sure it represents the original joint density function.

Thanks for your time and help.

BR,

Alex

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# Multiplication of marginal densities

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