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The final estimator is the sample mean of the likelihood ratios multiplied by the rare-event indicator. It is computed by drawing samples from the fitted Normal proposal, calculating the ratio of the standard normal density to the proposal density, multiplying by the indicator that the sample exceeds $\gamma$, and averaging the results.

Conditions: Samples are drawn from the fitted Normal proposal, not the original distribution.; The event indicator is $\mathbf{1}_{\{Z_j>\gamma\}}$.

The final estimator is the sample mean of the likelihood ratios multiplied by the rare-event indicator. It is computed by drawing samples from the fitted Normal proposal, calculating the ratio of the standard normal density to the proposal density, multiplying by the indicator that the sample exceeds $\gamma$, and averaging the results.

Conditions: Samples are drawn from the fitted Normal proposal, not the original distribution.; The event indicator is $\mathbf{1}_{\{Z_j>\gamma\}}$.