• Corpus ID: 218487632

Nonparametric testing of the dependence structure among points-marks-covariates in spatial point patterns

  title={Nonparametric testing of the dependence structure among points-marks-covariates in spatial point patterns},
  author={Jivr'i Dvovr'ak and Tom'avs Mrkvivcka and Jorge Mateu and Jonatan A. Gonz'alez},
  journal={arXiv: Methodology},
We investigate the problem of testing the hypothesis of independence between a covariate and the marks in a marked point process. This would be rather straightforward if the (unmarked) process of points was independent of the covariate and the marks. In practice, however, such an assumption is questionable, and possible preferential sampling effects (dependence between the point process and the covariate and/or the marks) may lead to incorrect conclusions. Hence we propose to investigate the… 
A Two-Stage Cox Process Model with Spatial and Nonspatial Covariates
There are rich new marked point process data that allow researchers to study disparate problems such as the factors affecting the location and type of police use of force, and the characteristics


Test for independence between marks and points of marked point processes: a subsampling approach
Ecological data often involve measurements taken at irregularly spaced locations (e.g., the heights of trees in a forest). A useful approach for modeling such data is via a marked point process,
Spatial Regression for Marked Point Processes
In a wide range of applications, dependence on smoothly-varying covariates leads spatial point count intensities to feature positive correlation for nearby locations. In applications where the points
Detecting dependence between marks and locations of marked point processes
Two characteristics for stationary and isotropic marked point processes, E(r)and V(r), are introduced that allow for investigating mark-point interactions. These quantities are functions of the
Correct testing of mark independence for marked point patterns
Spatial pattern analysis provides valuable information on ecological processes. Many ecological systems can be described by marked point processes. One of the key issues in the statistical
Tests for independence between marks and points of a marked point process.
A convenient assumption while modeling a marked point process is that the observations and the locations are independent, and new graphical and formal testing approaches are proposed to test for this assumption.
Conditionally heteroscedastic intensity‐dependent marking of log Gaussian Cox processes
Spatial marked point processes are models for systems of points which are randomly distributed in space and provided with measured quantities called marks. This study deals with marking, that is
Revisiting the random shift approach for testing in spatial statistics
We consider the problem of non-parametric testing of independence of two components of a stationary bivariate spatial process. In particular, we revisit the random shift approach that has become a
Global envelope tests for spatial processes
Summary Envelope tests are a popular tool in spatial statistics, where they are used in goodness-of-fit testing. These tests graphically compare an empirical function T(r) with its simulated
Multiple Monte Carlo testing, with applications in spatial point processes
The rank envelope test (Myllymäki et al. in J R Stat Soc B, 2016) is proposed as a solution to the multiple testing problem for Monte Carlo tests and a power comparison to the classical multiple testing procedures is given.
Testing for spatial association between a point process and another stochastic process
Motivated by a problem in geology, this paper proposes some tests of the spatial association between a point process and some other stochastic process of geometric structures, G. All the tests are