Stable limit theorem for \(U\)-statistic processes indexed by a random walk

DOI10.1214/16-ECP4173zbMath1357.60025arXiv1212.2133OpenAlexW2962714038MaRDI QIDQ507786

Brice Franke, Françoise Pène, Martin Wendler

Publication date: 7 February 2017

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2133

zbMATH Keywords

weak convergencerandom walklaw of iterated logarithmrandom scenery\(U\)-statisticsstable limit theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Empirical processes for recurrent and transient random walks in random scenery ⋮ Estimation of Additive Error in Mixed Spectra for Stable Processes ⋮ Cramér's type results for some bootstrapped \(U\)-statistics

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