On the martingale central limit theorem for strictly stationary sequences
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Publication:2633855
DOI10.1016/j.jmaa.2019.03.037zbMath1478.60094OpenAlexW2925329605WikidataQ128177692 ScholiaQ128177692MaRDI QIDQ2633855
Publication date: 10 May 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.03.037
relative stabilityRosenthal inequality\(\phi\) coefficientBillingsley-Ibragimov central limit theorem
Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Functional limit theorems; invariance principles (60F17)
Cites Work
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- Convergence of moments for strictly stationary sequences
- Relative stability in strictly stationary random sequences
- On Marcinkiewicz-Zygmund laws
- On moment conditions for normed sums of independent variables and martingale differences
- A moment maximal inequality for dependent random variables
- Principle of conditioning in limit theorems for sums of random variables
- Minimal conditions in \(p\)-stable limit theorems
- Limit theorems for mixing sequences without rate assumptions
- Periodicity and absolute regularity
- Dependent central limit theorems and invariance principles
- Marcinkiewicz laws with infinite moments
- On the functional central limit theorem for martingales
- Remarks on the functional central limit theorem for martingales
- Stable Convergence and Stable Limit Theorems
- The Lindeberg-Levy Theorem for Martingales
- Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
- A Central Limit Theorem for a Class of Dependent Random Variables
- On Lacunary Trigonometric Series
- Relative stability for strictly stationary sequences
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