Precise large deviations for the prospective-loss process
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Publication:4435681
DOI10.1239/jap/1053003551zbMath1028.60024OpenAlexW2060722073MaRDI QIDQ4435681
Hailiang Yang, Kai Wang Ng, Jia'an Yan, Qi-he Tang
Publication date: 17 November 2003
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1053003551
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)
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Cites Work
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- Large deviations of heavy-tailed sums with applications in insurance
- Large deviations results for subexponential tails, with applications to insurance risk
- A sharp inequality for the tail probabilities of sums of i.i.d. r.v.'s with dominatedly varying tails
- Large deviations of heavy-tailed random sums with applications in insurance and finance
- Large deviations for heavy-tailed random sums in compound renewal model
