Precise asymptotics in the deviation probability series of self-normalized sums
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Publication:624565
DOI10.1016/J.JMAA.2010.10.005zbMath1213.60053OpenAlexW2048013951MaRDI QIDQ624565
Publication date: 9 February 2011
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.2010.10.005
Sums of independent random variables; random walks (60G50) Large deviations (60F10) Limit theorems in probability theory (60F99)
Cites Work
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- Some extensions of the LIL via self-normalizations
- Limit theorems for self-normalized large deviation
- On the effect of random norming on the rate of convergence in the central limit theorem
- Self-normalized laws of the iterated logarithm
- A Cramér type large deviation result for Student's \(t\)-statistic
- Self-normalized large deviations
- When is the Student \(t\)-statistic asymptotically standard normal?
- Darling-Erdős theorem for self-normalized sums
- Donsker's theorem for self-normalized partial sums processes
- Self-normalized Cramér-type large deviations for independent random variables.
- An exponential nonuniform Berry-Esseen bound for self-normalized sums
- Precise asymptotics in the Baum-Katz and Davis laws of large numbers
- Bootstrapping the Student \(t\)-statistic
- The Berry-Esseen bound for self-normalized sums
- Self-normalized processes: exponential inequalities, moment bounds and iterated logarithm laws.
- Precise asymptotics for a new kind of complete moment convergence
- Precise asymptotics in the self-normalized law of the iterated logarithm
- Precise asymptotics in complete moment convergence for self-normalized sums
- Self-normalized Wittmann's laws of iterated logarithm in Banach space
- On the asymptotic normality of self-normalized sums
- Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
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