Nonstationary Poisson hyperplanes and their induced tessellations
Nonstationary Poisson hyperplanes and their induced tessellations
复制标题
非平稳泊松超平面及其诱导的镶嵌
DOI：
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发表时间：
2003
影响因子：
1.2
通讯作者：
R. Schneider
中科院分区：
文献类型：
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作者：
R. Schneider
关于平稳泊松超平面过程和诱导超平面镶嵌的结果被扩展到这样的情况下，而不是平稳性，它只是假设强度测量有一个（可能是连续的）密度相对于一些单调不变的措施。强度和quermass密度，这是固定的情况下，然后用函数代替。以类似的方式，相关的zerk（Matheron的Steiner凸集）被推广。
Results about stationary Poisson hyperplane processes and the induced hyperplane mosaics are extended to the case where, instead of stationarity, it is only assumed that the intensity measure has a (possibly continuous) density with respect to some translation-invariant measure. Intensities and quermass densities, which are constant in the stationary case, are then replaced by functions. In a similar way, the associated zonoid (Matheron's Steiner convex set) is generalized.