In this paper, the Seismic risk in the middle of the Bayan Har block
based on the profile likelihood estimation of the generalized Pareto
distribution is studied. Earthquake samples in the middle of the Bayan
Har block in the late 60 years are analyzed. The result shows that the
area experiences an earthquake above 7.0 every 5 years. The theoretical
upper limit of magnitude is 8.7, indicating frequent geological
activities in this area. The profile likelihood estimation is consistent
with the estimation of the maximum likelihood of the parameters. The
confidence interval of the short-term return level is the same for the
two methods. But with the increasing return period, the confidence
interval obtained by the profile likelihood estimation is shifted to the
right as a whole compared to that of the Delt method. The ratio of the
confidence interval length on both sides of the return level will
increase. This asymmetry is effective for the uncertainty of magnitude
prediction.
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