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cdfassnacht edited Time Delay Estimation Metrics.tex
almost 11 years ago
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Returning to the emulated analysis, we imagine evaluating the product of PDFs in Equation~\ref{eq:prodpdf}, and plotting the resulting likelihood for $H_0$. This distribution will have some median $\hat{H_0}$ and 68\% confidence interval $\sigma_{H_0}$. From these values we define the precision (as already seen above) as
\begin{equation}
P =
\frac{\sigma_{H_0}}/H_0^* \frac{\sigma_{H_0}}{H_0^*} \times 100\%
\end{equation}
and the bias~$B$ as
\begin{equation}