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The parameters of the Normal proposal distribution are chosen using maximum likelihood estimation. The mean $\mu$ is set to the sample mean of the retained $g^*$ samples, and the standard deviation $\sigma$ is set to the square root of the sample second central moment of those samples.

Conditions: The proposal family is restricted to Normal distributions.; The data used for fitting are the retained samples satisfying $X>\gamma$.

The parameters of the Normal proposal distribution are chosen using maximum likelihood estimation. The mean $\mu$ is set to the sample mean of the retained $g^*$ samples, and the standard deviation $\sigma$ is set to the square root of the sample second central moment of those samples.

Conditions: The proposal family is restricted to Normal distributions.; The data used for fitting are the retained samples satisfying $X>\gamma$.

The confidence interval is constructed as a symmetric interval around the point estimate. The half-width is calculated by multiplying 1.96 by the sample standard deviation of the weighted estimator array, and then dividing by the square root of the number of proposal samples.

Conditions: Uses the sample standard deviation of the weighted estimates.; The interval is presented as a numerical summary based on a normal approximation.

The confidence interval is constructed as a symmetric interval around the point estimate. The half-width is calculated by multiplying 1.96 by the sample standard deviation of the weighted estimator array, and then dividing by the square root of the number of proposal samples.

Conditions: Uses the sample standard deviation of the weighted estimates.; The interval is presented as a numerical summary based on a normal approximation.