Asymptotic behaviors for random geometric series
DOI10.1007/s10959-024-01327-3MaRDI QIDQ6592157
Xianjie Xia, Yunshi Gao, Fuqing Gao
Publication date: 24 August 2024
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
law of the iterated logarithmcentral limit theoremlarge deviationsfunctional limit theoremmoderate deviationsBerry-Esseen boundrandom geometric seriesprecise deviation
Central limit and other weak theorems (60F05) Large deviations (60F10) Functional limit theorems; invariance principles (60F17) Random power series in one complex variable (30B20)
Cites Work
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- Large deviations for processes on half-line
- A law of the iterated logarithm for geometrically weighted martingale difference sequences
- Strong approximation theorems for geometrically weighted random series and their applications
- Functional local law of the iterated logarithm for geometrically weighted random series.
- Large deviations for combinatorial distributions. I: Central limit theorems
- Law of the iterated logarithm for a random Dirichlet series
- Precise deviations for Hawkes processes
- A law of the iterated logarithm for random geometric series
- On a family of symmetric Bernoulli convolutions.
- Mod-ϕ Convergence
- On the Hausdorff dimension of some fractal sets
- Arithmetic Properties of Bernoulli Convolutions
- Fat baker's transformations
- Iterated Random Functions
- An invariance principle for the law of the iterated logarithm
- Gaussian Distributions and Convergent Infinite Convolutions
- On the Smoothness Properties of a Family of Bernoulli Convolutions
- Distribution functions and the Riemann zeta function.
- On symmetric Bernoulli convolutions.
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