Asymptotic goodness-of-fit tests for point processes based on scaled empirical K-functions
DOI10.1080/02331888.2018.1460367zbMath1404.62022arXiv1706.01074OpenAlexW2964019363MaRDI QIDQ4579988
Publication date: 13 August 2018
Published in: Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.01074
functional central limit theoremgeometrical statisticsedge-corrected empirical \(K\)-functionfourth-order Brillinger mixing point processgeneralized \(K\)-functionone- and two-sample tests for point processesscaling rateSkorohod-space \(D[0,R\)]
Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Functional limit theorems; invariance principles (60F17) Asymptotic properties of parametric tests (62F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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- Brillinger mixing of determinantal point processes and statistical applications
- On the strong Brillinger-mixing property of \(\alpha\)-determinantal point processes and some applications.
- On estimating the asymptotic variance of stationary point processes
- Point process diagnostics based on weighted second-order statistics and their asymptotic properties
- Spatial statistics and modeling. Translated from the French by Kevin Bleakley.
- Estimation of Palm measures of stationary point processes
- On estimating the dependence between two point processes
- An introduction to the theory of point processes
- Transforming spatial point processes into Poisson processes
- Normal approximation for some mean-value estimates of absolutely regular tessellations
- Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness
- Zum Verhältnis von Volumen zu Oberfläche bei konvexen Körpern
- Contrast Estimation for Parametric Stationary Determinantal Point Processes
- Asymptotically optimal estimation for the reduced second moment measure of point processes
- Weak and strong convergence of empirical distribution functions from germ-grain processes
- Normal convergence of multidimensional shot noise and rates of this convergence
- Asymptotic gaussianity of some estimators for reduced factorial moment measures and product densities of stationary poisson cluster processes
- On the Second-Order and Orientation Analysis of Planar Stationary Point Processes
- The second-order analysis of stationary point processes
- Estimating the reduced moments of a random measure
- Goodness-of-fit tests for the second moment funciton of a stationary multidimensional poisson process
- Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
- On Least Squares Fitting for Stationary Spatial Point Processes
- Asymptotic Methods in Statistics of Random Point Processes
- Global Envelope Tests for Spatial Processes
- Asymptotic properties of an empiricalK-function for inhomogeneous spatial point processes
- Statistical Analysis and Modelling of Spatial Point Patterns
- Assessing Isotropy for Spatial Point Processes
- Testing the complete spatial randomness by Diggle's test without an arbitrary upper limit
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