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6 changes: 3 additions & 3 deletions vignettes/estimate_static_severity.Rmd
Original file line number Diff line number Diff line change
Expand Up @@ -204,10 +204,10 @@ $$
where $f_t$ is the value of the probability mass function at time $t$, and $c_t$, $d_t$ are the number of new cases and new deaths at time $t$ (respectively).
We then use $u_t$ in the following likelihood function to estimate severity.

$$
{\sf L}(\theta | C_{t},D_{t},u_{t}) = \log \left(\binom{u_{t}C_{t}}{D_{t}}\right) + D_{t} \log \theta + (u_{t}C_{t} - D_{t}) \log (1 - \theta).
$$
{\sf L}(\theta | C_{t},D_{t},u_{t}) = \log{\dbinom{u_{t}C_{t}}{D_{t}}} + D_{t} \log{\theta} +
(u_{t}C_{t} - D_{t})\log{(1 - \theta)},
$$


$C_{t}$ and $D_{t}$ are the cumulative number of cases and deaths (respectively) until time $t$.

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