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Mar
23rd
Mon
12:48 pm
permalink

Special Function Invocation

O Hive Mind, o Lazy Web, Urania’s child, I invoke thee! Is there a name for the function
\[  f_n(\theta) = \sum_{k=0}^{n}{{n \choose k} \theta^k {(1-\theta)}^{n-k} \log{k!}}   \]
i.e., for $ \mathbb{E}[\log{X!}] $ when X is binomially distributed?

Posted by crshalizi at March 22, 2009 21:52 | see also Enigmas of Chance

=) =) =)

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lol!

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