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\begin{definition}  \label{def:op}  Fix $\Gamma$ a pair of  growth space spaces  of type $(2,2)$ rank 2  and $\mathcal{E}$ and an  error space of rank 2. Consider $(\mu,f)$ a distributional estimation problem and $P: \Words \xrightarrow{\Gamma} \Rats$ with bounded range. $P$ is called an \emph{$\mathcal{E}(\Gamma)$-optimal predictor for $(\mu,f)$} when for any $Q: \Words \xrightarrow{\Gamma} \Rats$ there is $\varepsilon \in \mathcal{E}$ s.t. \begin{equation}  \label{eqn:op}