I am to find out the value of this expectation : $$E \bigg(\frac{U^p}{U+V} \bigg),$$ where $U \sim \chi^2_1$ and $V \sim \chi^2_n$. $U$ and $V$ are independent.
Can anyone give me any hints about how to start this problem ?
I am to find out the value of this expectation : $$E \bigg(\frac{U^p}{U+V} \bigg),$$ where $U \sim \chi^2_1$ and $V \sim \chi^2_n$. $U$ and $V$ are independent.
Can anyone give me any hints about how to start this problem ?
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