Before revision:  Unlike the existing estimators, our MCMC-based estimator is computed by samples of conditional loss distribution given the rare event of our interest. MCMC method enables to generate such samples without evaluating the density of total risk. Thanks to these features, our estimator has improved sample-efficiency compared with the crude Monte Carlo method.
After revision:  Unlike the existing estimators, our MCMC-based estimator is computed by samples of conditional loss distribution given the rare event of interest. This feature enhances sample efficiency compared with the crude Monte Carlo method.