Isotropic covariance functions on graphs and their edges

DOI10.1214/19-AOS1896zbMath1455.62142arXiv1710.01295OpenAlexW3049260668MaRDI QIDQ2215747

Jesper Møller, Ethan B. Anderes, Jakob Gulddahl Rasmussen

Publication date: 14 December 2020

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01295

zbMATH Keywords

reproducing kernel Hilbert spacegeodesic metriclinear networkresistance metricparametric classes of covariance functionsrestricted covariance function properties

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Statistics on manifolds (62R30) Applications of graph theory (05C90) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Analysis of variance and covariance (ANOVA) (62J10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Probabilistic graphical models (62H22)

Related Items (11)

Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces ⋮ Nested covariance functions on graphs with Euclidean edges cross time ⋮ Variable selection using penalised likelihoods for point patterns on a linear network ⋮ Vector random fields on the probability simplex with metric-dependent covariance matrix functions ⋮ Space-time covariance models on networks ⋮ A flexible Clayton-like spatial copula with application to bounded support data ⋮ Gaussian Whittle-Matérn fields on metric graphs ⋮ Point processes on directed linear networks ⋮ Second-order and local characteristics of network intensity functions ⋮ Gaussian field on the symmetric group: prediction and learning ⋮ Nearest-neighbour Markov point processes on graphs with Euclidean edges

Uses Software

• SANET

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