Intensity analysis of Boolean models

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摘要

We consider the problem to estimate the intensity of a stationary, but not necessarily isotropic Boolean model Z in d-dimensional space from the observation of global and local functionals. After a short description of the recent solution in the planar case, we show that the spatial case can be solved in a similar way by using an iterated translative integral formula for support functions.

论文关键词:Boolean model,Poisson process,Stationarity,Intensity,Convex ring,Euler characteristic,Surface area measure,Support function

论文评审过程:Received 18 September 1998, Revised 14 October 1998, Accepted 14 October 1998, Available online 7 June 2001.

论文官网地址:https://doi.org/10.1016/S0031-3203(99)00030-8