Limit theorems for U-statistics indexed by a one dimensional random walk
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Publication:4671823
DOI10.1051/ps:2005004zbMath1136.60316OpenAlexW2151880560MaRDI QIDQ4671823
Véronique Ladret, Nadine Guillotin-Plantard
Publication date: 26 April 2005
Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PS_2005__9__98_0
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
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Empirical processes for recurrent and transient random walks in random scenery ⋮ Cramér's type results for some bootstrapped \(U\)-statistics ⋮ The sequential empirical process of a random walk in random scenery
Cites Work
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- Mixing properties for random walk in random scenery
- Mixing properties of a class of skew-products
- Mixing properties of the generalized \(T,T^{-1}\)-process
- A central limit theorem for two-dimensional random walks in random sceneries
- Local times for a class of Markoff processes
- Functional limit theorems for \(U\)-statistics indexed by a random walk.
- Approximation Theorems of Mathematical Statistics
- A limit theorem related to a new class of self similar processes
- Thermodynamics of a Brownian bridge polymer model in a random environment
- A model of continuous polymers with random charges
- Strong laws for 𝐿- and 𝑢-statistics
- Limit theorems related to a class of operator-self-similar processes