deletions | additions       diff --git a/excess mass.tex b/excess mass.tex  index bc309d9..f772ec3 100644  --- a/excess mass.tex  +++ b/excess mass.tex 
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where the supremum is taken over all families $\{C_j:j=1, ..., m\}$ of pairwise disjoint connected sets. In practice, the distribution $f(x)$ cannot directly obtained from samples, a more convenient way of dealing with the above expression is to convert it into integral space:  \begin{equation}  E_m(\lambda)=\rm sup \sum_{j=1}^{m} H_\lambda(C_j),  \end{equation} where $H_\lambda=F-\lambda\times\rm Leb$, $F$ is the cumulative distribution and $\rm Leb$ is the Lebesgue measure.