INFERENCE FOR THE EXTENT PARAMETER OF DAMAGE BY TSUNAMI WITH POINCARE CONES

Abstract

The cone-convex hull by complement (ccc-hull) is a generalized convex hull created from Poincar´e Cones . We propose a new approach with the ccc-hull for the simulation of the extent of damage by a tsunami, and simulate the damaged area at the time of the Great East Japan Earthquake for approximate damage by samples from a two-dimensional Non-homogeneous Poisson Process. Then, we consider the problem of the estimation of the parameter ρ , which corresponds to the opening angle of the Poincar´e Cones. We believe our suggestion can be used to predict the extent of a tsunami in a specified area in Japan.