Moderate deviations principle for products of sums of random variables

DOI10.1007/s11425-011-4195-8zbMath1229.60033OpenAlexW1965380523MaRDI QIDQ547408

Jianyong Mu, Yu Miao

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4195-8

zbMATH Keywords

independent identically distributionmoderate deviations principlepositive random variablesproducts of sums

Mathematics Subject Classification ID

Large deviations (60F10) Foundations of stochastic processes (60G05)

Related Items (4)

Asymptotic distribution of products of sums of independent random variables ⋮ A note on the almost sure central limit theorem for the product of partial sums of m-dependent random variables ⋮ Large deviations for product of sums of random variables ⋮ A Note on Asymptotic Distribution of Products of Weighted Sums

Cites Work

• Central limit theorem and almost sure central limit theorem for the product of some partial sums
• An almost sure limit theorem for the product of partial sums with stable distribution
• Asymptotics for self-normalized random products of sums of i.i.d. random variables
• Weak convergence of products of sums of independent and non-identically distributed random variables
• An almost sure central limit theorem for products of sums of partial sums under association
• The asymptotic distribution of sums of records
• Limit distributions for products of sums.
• A note on asymptotic distribution of products of sums
• A note on the invariance principle of the product of sums of random variables
• A note on the almost sure limit theorem for the product of partial sums
• An Extension of Almost Sure Central Limit Theory for the Product of Partial Sums
• Asymptotics for Self-Normalized Random Products of Sums for Mixing Sequences
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