Upper and lower bounds of large deviations for some dependent sequences

DOI10.1007/S10474-017-0764-9zbMath1399.60038OpenAlexW2764099282MaRDI QIDQ681584

Xue-jun Wang

Publication date: 12 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0764-9

zbMATH Keywords

large deviationsheavy tailacceptable random variablewidely acceptable random variable

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (3)

Convergence properties for the partial sums of widely orthant dependent random variables under some integrable assumptions and their applications ⋮ A supplement to the laws of large numbers and the large deviations ⋮ A general large deviation result for partial sums of i.i.d. super-heavy tailed random variables

Cites Work

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• Probability inequalities for END sequence and their applications
• Some exponential inequalities for acceptable random variables and complete convergence
• Some probability inequalities for a class of random variables and their applications
• Large deviations for dependent heavy tailed random variables
• Large deviations view points for heavy-tailed random walks
• A note on the exponential inequality for a class of dependent random variables
• Precise large deviations for dependent random variables with heavy tails
• A note on logarithmic tail asymptotics and mixing
• Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• On complete convergence for widely orthant-dependent random variables and its applications in nonparametric regression models

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