Non-parametric smoothing of spatio-temporal point processes

Carlo Grillenzoni
2005 Journal of Statistical Planning and Inference  
This paper develops adaptive non-parametric modelings for earthquake data. Non-parametric techniques are particularly suitable for space-time point processes, however they must be adapted to deal with the non-stationarity of seismic phenomena. By this we mean changes in the spatial and temporal pattern of seismic occurrences. A set of non-parametric tests, kernel density and regression estimators are proposed to study the space-time evolution of earthquakes. The implied solutions, by respecting
more » ... the unidirectional nature of time and minimizing prediction errors, are
doi:10.1016/j.jspi.2003.09.030 fatcat:woh4e7tsv5gx3h4ujj4zn6gixm