A J-function for inhomogeneous point processes

作者：van Lieshout M N M^*

来源：Statistica Neerlandica, 2011, 65(2): 183-201.

DOI：10.1111/j.1467-9574.2011.00482.x

• conditional intensity
• empty space function
• generating functional
• J-function
• inhomogeneity
• intensity-reweighted moment stationarity
• marked point process
• minus sampling estimator
• product density
• reduced second moment measure
• spatial interaction
• spherical Palm contact distribution function

We propose new summary statistics for intensity-reweighted moment stationary point processes, that is, point processes with translation invariant n-point correlation functions for all <file name="stan_482_mu1.gif" type="gif"/>, that generalise the well known J-, empty space, and spherical Palm contact distribution functions. We represent these statistics in terms of generating functionals and relate the inhomogeneous J-function to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.

• 出版日期2011-5