Influence function of the sample median
= Influence function of the sample median
At a distribution with positive density $f$ at its median $m$, the median influence function is $\operatorname{sgn}(x-m)/(2f(m))$ away from $m$.
= Influence function of the sample median
At a distribution with positive density $f$ at its median $m$, the median influence function is $\operatorname{sgn}(x-m)/(2f(m))$ away from $m$.