Abstract
This study examines dependency of amplification factor on earthquake magnitude based on a relation between spectrum of earthquake motion and site amplification factor derived by Parseval's theorem and extreme value theory. Amplification factor evaluated from a formula proposed here, and one estimated from artificial wave have a good agreement in their comparison. We represented amplification factor by using corner frequency fc and cut off frequency fmax to examine influence of fc and fmax to amplification factor. It is clarified that influence of fc for PGV is larger than that for PGA and influence of fmax clearly affects for PGA but less for PGV. Relationship between moment magnitude Mw and amplification factor is also estimated. Mw is seemed to affect an amplification factor for PGV rather than that for PGA.
