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- W3137673552 abstract "Abstract We study functional central limit theorems for persistent Betti numbers obtained from networks defined on a Poisson point process. The limit is formed in large volumes of cylindrical shape stretching only in one dimension. The results cover a directed sublevel‐filtration for stabilizing networks and the Čech and Vietoris–Rips complex on the random geometric graph. The presented functional central limit theorems open the door to a variety of statistical applications in topological data analysis and we consider goodness‐of‐fit tests in a simulation study." @default.
- W3137673552 created "2021-03-29" @default.
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- W3137673552 date "2021-03-25" @default.
- W3137673552 modified "2023-10-09" @default.
- W3137673552 title "Functional central limit theorems for persistent Betti numbers on cylindrical networks" @default.
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- W3137673552 doi "https://doi.org/10.1111/sjos.12524" @default.
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