We propose new summary statistics for intensity-reweighted moment stationary marked point processes with particular emphasis on discrete marks. The new statistics are based on the n-point correlation functions and reduce to cross J- and D-functions when stationarity holds. We explore the relationships between the various functions and discuss their explicit forms under specific model assumptions. We derive ratio-unbiased minus sampling estimators for our statistics and illustrate their use on a data set of wildfires.
Mark distance correlation functions: from moment-based to distributional mark summary characteristics in spatial point processes
Natural Resources Institute Finland (Luke)（芬兰自然资源研究所）；Department of Mathematics and Statistics, University of Helsink（赫尔辛基大学数学与统计系）；Chalmers University of Technology and University of Gothenburg（查尔姆斯理工大学和哥德堡大学）
Marked point processes intensity estimation using sparse group Lasso method applied to locations of lucrative and cooperative banks in mainland France
Univ. Grenoble Alpes（格勒诺布尔阿尔卑斯大学）；CNRS（法国国家科学研究中心）；LJK（拉格朗日数学与计算实验室）；Sciences Po Grenoble, PACTE（格勒诺布尔政治学院PACTE研究所）；Department of Statistics, Institut Teknologi Sepuluh Nopember（十·一理工学院统计学系）
Multiple change-point detection for Poisson point processes
Sorbonne Université（索邦大学）；Université Paris Cité（巴黎西岱大学）；CNRS（法国国家科学研究中心）；Laboratoire de Probabilités, Statistique et Modélisation（概率、统计与建模实验室）；Université Paris Nanterre（巴黎楠泰尔大学）；EDF
