March 22, 2009

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?

Enigmas of Chance

Posted by crshalizi at March 22, 2009 21:52 | permanent link

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