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 at March 22, 2009 21:52 | permanent link