Trimmed sums for non-negative, mixing stationary processes.

DOI10.1016/S0304-4149(02)00236-3zbMath1075.60511OpenAlexW2047291391MaRDI QIDQ2574555

Hitoshi Nakada, Jon. Aaronson

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00236-3

zbMATH Keywords

asymptoticscontinued fractionsinterval mapsinfinite expectation

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Strong limit theorems (60F15) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (18)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Prime numbers in typical continued fraction expansions ⋮ Symmetric Birkhoff sums in infinite ergodic theory ⋮ Diophantine approximation by negative continued fraction ⋮ Dimension of Gibbs measures with infinite entropy ⋮ Generic Consistency for Approximate Stochastic Programming and Statistical Problems ⋮ Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type ⋮ Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean ⋮ Quantitative ergodic theorems for weakly integrable functions ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ Pointwise convergence of Birkhoff averages for global observables ⋮ Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches ⋮ Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems ⋮ Large deviation principle for the backward continued fraction expansion ⋮ Some metric properties of \(\alpha\)-continued fractions.

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