On the logarithmic average of additive functionals

DOI10.1016/0167-7152(94)00075-JzbMath0816.60031OpenAlexW2034601866MaRDI QIDQ1347190

Antónia Földes, Endre Csáki

Publication date: 6 July 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00075-j

zbMATH Keywords

functional central limit theoremWiener processadditive functionalsrandom walk

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Local time and additive functionals (60J55)

Related Items

The law of large numbers with exceptional sets ⋮ A universal result in almost sure central limit theory. ⋮ Logarithmic averages for the local times of recurrent random walks and Lévy processes ⋮ On the logarithmic average of iterated processes ⋮ On the universal a.s. central limit theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the almost sure central limit theorem
• Some limit theorems in log density
• How big are the increments of the local time of a Wiener process?
• Strong approximation of additive functionals
• Quadratic variation of the local time of a random walk
• The asymptotic behaviour of certain additive functionals of Brownian motion
• On almost sure local and global central limit theorems
• Dependent central limit theorems and invariance principles
• An iterated logarithm law for local time
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Invariance principles for logarithmic averages
• Occupation Times for Markov and Semi-Markov Chains