- Ground-motion model is: where log 10A0(R) is an empirically determined attenuation function from Richter (1958) used for calculation
of ML, v is component direction (v = 0 for horizontal and 1 for vertical), Mmin = -b(T)∕(2f(T)) and
Mmax = (1 - b(T))∕(2f(T)).
- Response parameter is pseudo-velocity for 0, 2, 5, 10 and 20% damping.
- Characterises site condition by depth of sedimentary and alluvial deposits beneath station, h. Uses records
with 0 ≤ h ≤ 6km, with most < 4km.
- Performs analysis to minimize possible bias due to uneven distribution of data among magnitude, site
conditions and from abundance of data for some earthquakes.
- Tries terms with higher powers of h but coefficients are undistinguishable from zero at 95% confidence
- Assumes probability that log 10PSV(T) - log 10PSV(T) ≤ ϵ, where log 10PSV(T) is measured PSV and
PSV(T) is predicted PSV and ϵ is a probability, can be expressed as p(ϵ,T) = [1 - exp(-exp(α(T)ϵ(T) +
β(T)))]N(T). This assumption passes Kolmogorov-Smirnov and χ2 tests at 95% level.
- Finds a(T) through g(T) significantly different than zero for large subregions of whole period range. d(T)
is only significantly different than zero for T ≳ 0.3s.
- Gives coefficients of smoothed results for 11 periods.
- Notes only preliminary. Improvements should be based on physical nature of phenomenon using a functional
form predicted by theory and experiment but due to lack of data cannot be done.