Topology-driven goodness-of-fit tests in arbitrary dimensions
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Publication:6190655
DOI10.1007/s11222-023-10333-0zbMath1529.62016arXiv2210.14965OpenAlexW4388490911MaRDI QIDQ6190655
Rafał Topolnicki, Niklas Hellmer, Paweł Dłotko, Łukasz Stettner
Publication date: 6 February 2024
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.14965
Computational methods for problems pertaining to statistics (62-08) Hypothesis testing in multivariate analysis (62H15) Topological data analysis (62R40)
Cites Work
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- Hypothesis testing for topological data analysis
- Comparison of multivariate distributions using quantile-quantile plots and related tests
- A test of Gaussianity based on the Euler characteristic of excursion sets
- Fréchet means for distributions of persistence diagrams
- Stability of persistence diagrams
- Generalized Cramér-von Mises goodness-of-fit tests for multivariate distributions
- A multivariate Kolmogorov-Smirnov test of goodness of fit
- Topology of random geometric complexes: a survey
- Computing persistent homology
- Topological persistence and simplification
- Testing goodness of fit for point processes via topological data analysis
- On approximation theorems for the Euler characteristic with applications to the bootstrap
- Distance functions, critical points, and the topology of random Čech complexes
- The topology of probability distributions on manifolds
- Extending hypothesis testing with persistent homology to three or more groups
- Random Geometric Graphs
- Functional limit theorems for the euler characteristic process in the critical regime
- Principles of Statistical Analysis
- Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
- Random Fields and Geometry
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