Elementary renewal theorems for widely dependent random variables with applications to precise large deviations

DOI10.1080/03610926.2019.1586947OpenAlexW2928205226MaRDI QIDQ5077424

Yue-bao Wang, Dong Ya Cheng

Publication date: 18 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1586947

zbMATH Keywords

counting processesmoment conditionsprecise large deviationswide dependenceelementary renewal theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistics (62-XX) (L^p)-limit theorems (60F25)

Related Items (1)

The Kolmogorov strong law of large numbers for WOD random variables

Cites Work

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• An inequality of widely dependent random variables and its applications
• Uniform asymptotics of the finite-time ruin probability for all times
• Precise large deviations of random sums in presence of negative dependence and consistent variation
• Precise large deviations for widely orthant dependent random variables with dominatedly varying tails
• Basic renewal theorems for random walks with widely dependent increments
• Complete and complete moment convergence for weighted sums of widely orthant dependent random variables
• Precise large deviation results for the total claim amount under subexponential claim sizes
• Precise large deviations for dependent random variables with heavy tails
• Some concepts of negative dependence
• Subexponentiality of the product of independent random variables
• Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
• Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
• Convergence for weighted sums of widely orthant dependent random variables
• On the strong convergence of weighted sums of widely dependent random variables
• The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables
• Large deviations of heavy-tailed random sums with applications in insurance and finance
• Asymptotic Results for Ruin Probability of a Two-Dimensional Renewal Risk Model
• Complete convergence and complete moment convergence for widely orthant-dependent random variables
• Large deviations for heavy-tailed random sums in compound renewal model

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