Percentiles of sums of heavy-tailed random variables: beyond the single-loss approximation

DOI10.1007/s11222-013-9376-6zbMath1325.62012arXiv1203.2564OpenAlexW1666677164MaRDI QIDQ892484

Alberto Suárez, Lorenzo Hernández, Jorge Tejero, Santiago Carrillo-Menéndez

Publication date: 19 November 2015

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2564

zbMATH Keywords

subexponential distributionsheavy tailsaggregate loss distributionvalue at riskcensored momentspercentile estimation

Mathematics Subject Classification ID

Censored data models (62N01) Characterization and structure theory of statistical distributions (62E10)

Uses Software

• QRM

Cites Work

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• Modeling teletraffic arrivals by a Poisson cluster process
• A review of results on sums of random variables
• Extreme-value analysis of teletraffic data
• The distribution of sums, products and ratios for Lawrance and Lewis's bivariate exponential random variables
• Estimates for the probability of ruin with special emphasis on the possibility of large claims
• Second order behaviour of the tail of a subordinated probability distribution
• Rare events simulation for heavy-tailed distributions
• Robust quantification of the exposure to operational risk: bringing economic sense to economic capital
• On subordinated distributions and generalized renewal measures
• Higher-order expansions for compound distributions and ruin probabilities with subexponential claims
• An Introduction to Heavy-Tailed and Subexponential Distributions
• Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and applications
• Theory prob. appl.
• Applied Probability and Queues
• Asymptotic Expansions for Distributions of Compound Sums of Random Variables with Rapidly Varying Subexponential Distribution
• Heavy-Tail Phenomena
• Improved algorithms for rare event simulation with heavy tails
• Operational Risk
• On the Sums of Independently Distributed Pareto Variates
• Asymptotic expansions of convolutions of regularly varying distributions

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