earthquake
(Package: riv) :
Alaskan earthquakes data
The dataset contains information about 62 Alaskan earthquakes that occured between 1969-1978 (Fuller, 1987). The goal is to see how the earthquake strength, measured in terms of the true value of the body waves, x^{*}, impacts on the amplitude of the surface waves of the earthquake (Y). However, we do not observe x^{*} but X, which is the logarithm of the seismogram amplitude of longitudinal body waves measured at some observation stations, i.e., x_i=x^{*}_i+u_i, for i=1,…,62, where u_i is the measurement error of each observation. Thus, in the regression Y_i=a+b*X_i+e_i, the covariate X is an endogenous covariate. We can consistently estimate the regression parameters using instrumental variables estimators. The logarithm of maximum seismogram trace amplitude at short distance, W, can be used as an instrument.