A law of the iterated logarithm for random geometric series

DOI10.1214/aop/1176989399zbMath0770.60029OpenAlexW1970671584MaRDI QIDQ2365742

Pierre Picco, Anton Bovier

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1214/aop/1176989399

zbMATH Keywords

law of iterated logarithmaccumulation pointsHartman-Winter condition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (16)

A self-normalized law of the iterated logarithm for the geometrically weighted random series ⋮ A nonclassical LIL for geometrically weighted series in Banach space ⋮ Strong approximation theorems for geometrically weighted random series and their applications ⋮ A note on moments of the maximum of Cesàro summation ⋮ Limit theorems for discounted convergent perpetuities. II ⋮ Expected number of real zeroes of random Taylor series ⋮ A law of the iterated logarithm for geometrically weighted series of negatively associated random variables. ⋮ Functional local law of the iterated logarithm for geometrically weighted random series. ⋮ The law of the iterated logarithm for certain power series and generalized Nörlund methods ⋮ Generalized LIL for geometrically weighted random series in Banach spaces ⋮ A general LIL for \(B\)-valued geometrically weighted series under dependent assumption ⋮ Real zeros of random Dirichlet series ⋮ Limit theorems for discounted convergent perpetuities ⋮ A law of the iterated logarithm for geometrically weighted martingale difference sequences ⋮ Limit law and rate of clustering for geometrically weighted random series ⋮ The Transparent Dead Leaves Model

This page was built for publication: A law of the iterated logarithm for random geometric series