地震危険度解析で用いられる上下限値を有する極値分布の理論的背景

抄録

Two types of extreme distributions with the lower and upper limits for modeling the annual maxima of earthquake motions were derived from the theoretical approach similar to that by Cornell (1968). The one was a type IV extreme distribution, called in this paper, based on the attenuation relationship between the earthquake magnitude, fault distance, and peak ground acceleration with its upper limit independent of the earthquake magnitude. The other was a type V extreme distribution, formulated in this paper, based on a realistic assumption of the maximum earthquake magnitude in Gutenberg-Richter's relationship between the magnitude and frequency of earthquakes.