Hello,

I was wondering how to derive the asymptotic expansion of the following function:

$\displaystyle

L = -\sum_{i=1}^{N}\left( p_{i} \log_{2}p_{i}\right)

$

where

$\displaystyle p_{i} $

is the probability function of the i-th event, say.

I don't even know where to start, or if asymptotic expansion can be done.