Influence-function representer
= Influence-function representer
{title2=$\varphi\in L^2_0(P),\ D\psi_P(g)=P(\varphi g)$}
An influence-function representer is a centered <square-integrable function> representing <derivatives> of a <statistical functional> along all admissible <score functions>. Representers may differ by a <function> orthogonal to the <statistical tangent space>. This pathwise definition is distinct from defining an <influence function> solely by point-mass contamination paths.