this is for holding javascript data
Vadim Kosoy edited We_are_now_ready_to__.tex
about 8 years ago
Commit id: 7fb4e8355eccf941c4c741fff3eccaad88262cb4
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We are now ready to give our central definition, which corresponds to a notion of "expected value" for distributional estimation problems.
\begin{definition}
\label{def-op} \label{def:op}
Fix $\Gamma$ a growth space of type $(2,2)$ and $\mathcal{E}$ and 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.