Persistent homology based goodness-of-fit tests for spatial tessellations

Author:

Hirsch Christian12ORCID,Krebs Johannes3,Redenbach Claudia4ORCID

Affiliation:

1. Department of Mathematics, Aarhus University, Aarhus, Denmark

2. DIGIT Center, Aarhus University, Aarhus, Denmark

3. Department of Mathematics, KU Eichstätt-Ingolstadt, Eichstätt, Germany

4. Department of Mathematics, RPTU Kaiserslautern-Landau, Kaiserslautern, Germany

Funder

German Research Foundation

Publisher

Informa UK Limited

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference31 articles.

1. Characterisation of Irregular Spatial Structures by Parallel Sets and Integral Geometric Measures;Arns C.H.;Colloids and Surfaces A: Physicochemical and Engineering Aspects,2004

2. Persistent Homology Analysis of Brain Artery Trees;Bendich P.;The Annals of Applied Statistics,2016

3. Convergence Criteria for Multiparameter Stochastic Processes and Some Applications;Bickel P.J.;The Annals of Mathematical Statistics,1971

4. Billingsley, P. (1999), Convergence of Probability Measures (2nd ed.) New York: John Wiley & Sons.

5. Testing Goodness of Fit for Point Processes Via Topological Data Analysis;Biscio C.A.N.;Electronic Journal of Statistics,2020

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