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A marked point process perspective in fitting spatial point process models
This paper discusses a new perspective in fitting spatial point process models. Specifically the spatial point process of interest is treated as a marked point process where at each observed event x a stochastic process M ( x ; t ) , 0 < t < r , is ...
Yongtao Guan
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Tests for Independence between Marks and Points of a Marked Point Process
Biometrics, 2005Summary A convenient assumption while modeling a marked point process is that the observations (i.e., marks) and the locations (i.e., points) are independent. We propose new graphical and formal testing approaches to test for this assumption. The proposed graphical procedures are easy to obtain and can be used to diagnose the nature and range of ...
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Marked point processes in discrete time
Queueing Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karl Sigman, Ward Whitt
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On Correlations of Marked Point Processes
Mathematische Nachrichten, 1984The paper studies correlations of the marks of marked point processes in \(R^ d\). At first some results of the classical theory of marked point processes are refined. For the case of non-negative marks the mark-sum measure is studied. For a Borel set B it gives the sum of marks of all points in B. Then a mark covariance function is defined which gives
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Crater detection based on marked point processes
2010 IEEE International Geoscience and Remote Sensing Symposium, 2010A novel automatic method is developed for the detection of features in planetary images. Although many automatic feature extraction methods have been proposed for for remote sensing images of the Earth, these methods are typically unfeasible for planetary data that generally present low contrast and uneven illumination characteristics.
Giulia Troglio +3 more
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On Non-simple Marked Point Processes
Annals of the Institute of Statistical Mathematics, 2006The existence and uniqueness of the compensator for simple point processes has long been known. However, relatively little is known about non-simple point processes. Non-simple point processes are not uniquely determined by their conditional intensity and compensator.
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Grouping for random marked point processes
J. Inf. Process. Cybern., 1984To evaluate the decisions of the hierarchical classifier investigated here, it is necessary to know which classification rates are reachable with random feature values. For answering this question a random marked point process model is used.
Peter Hufnagl, Klaus Voss
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Basics of Stochastic Processes, Point and Marked Point Processes
2015The study of the dynamic performance of engineered systems subject to uncertainty requires the use of tools from stochastic processes. Although stochastic processes have been used extensively in many disciplines (e.g., see [1, 2, 3, 4]), this chapter will focus on the the mathematical background that supports the models presented later in the book. The
Mauricio Sánchez-Silva +1 more
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On the local odds ratio between points and marks in marked point processes
Spatial Statistics, 2014Abstract Marked point processes are widely used stochastic models for representing a finite number of natural hazard events located in space and time and their data often associate event measurements (i.e. marks) with event locations (i.e. points). An interesting statistical problem of marked point processes is to measure and estimate the localized ...
Tonglin Zhang, Qianlai Zhuang
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Detection of rolling leukocytes by marked point processes
Journal of Electronic Imaging, 2007The marked point process (MPP) provides a useful and theoretically well-established tool for integrating spatial information into the image analysis process. We consider the problem of detecting rolling leukocytes within intravital microscopy images. A first stage of the detection method reduces the detection to a set of points, each one representing a
Gang Dong, Scott T. Acton
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