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Let $X \sim \Gamma(n , 1)$, I want to calculate $\mathbb{E}(|X - n|)$. Is there any good approach?

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    Yes: compute the expectation of $X-n$ on the event $[X-n\geqslant0]$.2012-01-27
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    Any progress with the hint above?2012-03-01
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    @DidierPiau Currently no, I found it a bit hard to get the result.2012-03-04
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    Do you know the density of the distribution of $X$?2012-03-04
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    Got something from the comments above?2012-08-15

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