Estimation of Space-Time Branching Process Models in Seismology Using an EM-Type Algorithm - Veen, Alejandro; Schoenberg, Frederic P (Journal of the American Statistical Association, 2008)
Keywords: Algorithms; Applications; Applications and Case Studies; Branching process models; Disease models; Earthquakes; Epidemic-type aftershock sequence model; Epidemiology; Estimate reliability; Estimating techniques; Estimation; Estimation bias; Exact sciences and technology; Expectation-maximization algorithm; General topics; Geology; Markov processes; Mathematics; Maximum likelihood; Maximum likelihood estimation; Maximum likelihood method; Modeling; Optimization; Parametric inference; Probability and statistics; Probability theory and stochastic processes; Regression analysis; Robustness (mathematics); Sciences and techniques of general use; Seismicity; Seismology; Simulations; Space-time point process models; Spacetime; Statistical methods; Statistics; Stochastic processes; United States--US; Southern California; Expectation-maximization algorithm; Epidemic-type aftershock sequence model; Covering problem; Optimization method; Optimization; Hypothesis test; Statistical test; Branching process models; Earthquakes; Log likelihood; Incomplete information; Likelihood function; Mathematical programming; Epidemic; Maximization; Numerical model; Space time; Statistical method; Space-time point process models; Branching process; Numerical analysis; Point estimation; Point process; Maximum likelihood; Expectation; EM algorithm; Application