Randomly weighted sums of subexponential random variables with application to capital allocation

From MaRDI portal
Publication:488110

DOI10.1007/s10687-014-0191-zzbMath1328.62089OpenAlexW2011836937MaRDI QIDQ488110

Zhongyi Yuan, Qi-he Tang

Publication date: 23 January 2015

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10687-014-0191-z




Related Items (53)

Randomly weighted sums under a wide type of dependence structure with application to conditional tail expectationThe finite-time ruin probability of a risk model with stochastic return and Brownian perturbationAPPROXIMATION OF THE TAIL PROBABILITIES FOR BIDIMENSIONAL RANDOMLY WEIGHTED SUMS WITH DEPENDENT COMPONENTSAsymptotic risk decomposition for regularly varying distributions with tail dependenceUnnamed ItemAn asymptotic study of systemic expected shortfall and marginal expected shortfallComplete moment convergence of double-indexed randomly weighted sums of mixing sequencesSecond order tail behaviour of randomly weighted heavy-tailed sums and their maximaA note on weighted infinite sums of dependent regularly varying tailed random variablesThe finite-time ruin probability of the nonhomogeneous Poisson risk model with conditionally independent subexponential claimsAsymptotic estimates for finite-time ruin probability in a discrete-time risk model with dependence structures and CMC simulationsTails of higher-order moments of sums with heavy-tailed increments and application to the Haezendonck-Goovaerts risk measureAsymptotics for a discrete-time risk model with Gamma-like insurance risksExtremes of randomly scaled Gumbel risksAsymptotic results on marginal expected shortfalls for dependent risksA note on randomly weighted sums of dependent subexponential random variablesA revisit to ruin probabilities in the presence of heavy-tailed insurance and financial risksRandomly weighted sums of dependent subexponential random variables with applications to risk theoryThe finite-time ruin probability of a risk model with a general counting process and stochastic returnOn the joint tail behavior of randomly weighted sums of heavy-tailed random variablesAsymptotics for random-time ruin probability of a risk model with diffusion, constant interest force and non-stationary arrivalsAsymptotics for a time-dependent by-claim model with dependent subexponential claimsConditional tail expectation of randomly weighted sums with heavy-tailed distributionsA Kesten-type inequality for randomly weighted sums of dependent subexponential random variables with applications to risk theory*Tail asymptotic for discounted aggregate claims with one-sided linear dependence and general investment returnAsymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insuranceAsymptotic results on tail moment for light-tailed risksA PARTICULAR BIDIMENSIONAL TIME-DEPENDENT RENEWAL RISK MODEL WITH CONSTANT INTEREST RATESUniform approximation for the tail behavior of bidimensional randomly weighted sumsTail behavior of discounted portfolio loss under upper tail comonotonicityAsymptotic results on tail moment and tail central moment for dependent risksAsymptotic ruin probabilities for a renewal risk model with a random number of delayed claimsInterplay of insurance and financial risks in a stochastic environmentClosure properties of the second-order regular variation under convolutionsRandomly weighted sums of linearly wide quadrant-dependent random variables with heavy tailsAsymptotics for ruin probabilities in Lévy-driven risk models with heavy-tailed claimsExpectation of the truncated randomly weighted sums with dominatedly varying summandsASYMPTOTICS FOR SYSTEMIC RISK WITH DEPENDENT HEAVY-TAILED LOSSESAsymptotics for a time-dependent renewal risk model with subexponential main claims and delayed claimsRandom difference equations with subexponential innovationsTails of higher-order moments with dominatedly varying summandsThe finite-time ruin probability of a discrete-time risk model with subexponential and dependent insurance and financial risksA Kesten-type bound for sums of randomly weighted subexponential random variablesThe finite-time ruin probability with heavy-tailed and dependent insurance and financial risksA note on the asymptotics for the randomly stopped weighted sumsOn asymptotic finite-time ruin probability of a renewal risk model with subexponential main claims and delayed claimsSecond order tail approximation for the maxima of randomly weighted sums with applications to ruin theory and numerical examplesBivariate regular variation among randomly weighted sums in general insuranceTail probability of randomly weighted sums of dependent subexponential random variables with applications to risk theorySecond-order tail behavior for stochastic discounted value of aggregate net losses in a discrete-time risk modelTail asymptotics of randomly weighted sums of dependent strong subexponential random variablesThe moment of maximum normed randomly weighted sums of martingale differencesFinite-time ruin probability of a perturbed risk model with dependent main and delayed claims


Uses Software


Cites Work




This page was built for publication: Randomly weighted sums of subexponential random variables with application to capital allocation