Estimation of Space–Time Branching Process Models in Seismology Using an EM–Type Algorithm
利用 EM 类算法估计地震学中的时空分枝过程模型
Maximum likelihood estimation of branching point process models via numerical optimization procedures can be unstable and computationally intensive. We explore an alternative estimation method based on the expectation-maximization algorithm. The method involves viewing the estimation of such branching processes as analogous to incomplete data problems. Using an application from seismology, we show how the epidemic-type aftershock sequence (ETAS) model can, in fact, be…