Finite and infinite time ruin probabilities in a stochastic economic environment.
From MaRDI portal
Publication:1879535
DOI10.1016/S0304-4149(00)00083-1zbMath1047.60040MaRDI QIDQ1879535
Publication date: 22 September 2004
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
large deviations theoryruin problemstochastic discountinglevel-crossing probabilityinsurance mathematics
Related Items (78)
On Cramér-like asymptotics for risk processes with stochastic return on investments ⋮ In the insurance business risky investments are dangerous: the case of negative risk sums ⋮ Random recurrence equations and ruin in a Markov-dependent stochastic economic environment ⋮ ASYMPTOTIC RUIN PROBABILITIES IN FINITE HORIZON WITH SUBEXPONENTIAL LOSSES AND ASSOCIATED DISCOUNT FACTORS ⋮ On stochastic difference equations in insurance ruin theory ⋮ Asymptotic risk decomposition for regularly varying distributions with tail dependence ⋮ Optimal investment for insurers when the stock price follows an exponential Lévy process ⋮ Pointwise estimates for first passage times of perpetuity sequences ⋮ Second order tail behaviour of randomly weighted heavy-tailed sums and their maxima ⋮ Exact simulation of generalised Vervaat perpetuities ⋮ A Karamata-type theorem and ruin probabilities for an insurer investing proportionally in the stock market ⋮ Tails of higher-order moments of sums with heavy-tailed increments and application to the Haezendonck-Goovaerts risk measure ⋮ Interplay of financial and insurance risks in dependent discrete-time risk models ⋮ Asymptotics for ruin probabilities in a discrete-time risk model with dependent financial and insurance risks ⋮ Asymptotic ruin probabilities for a discrete-time risk model with dependent insurance and financial risks ⋮ Asymptotic results for sample autocovariance functions and extremes of integrated generalized Ornstein-Uhlenbeck processes ⋮ Interplay of subexponential and dependent insurance and financial risks ⋮ Convex large deviation rate functions under mixtures of linear transformations, with an application to ruin theory ⋮ Randomly weighted sums of dependent subexponential random variables ⋮ Randomly weighted sums of dependent subexponential random variables with applications to risk theory ⋮ On the joint tail behavior of randomly weighted sums of heavy-tailed random variables ⋮ Mathematical model of banking operation ⋮ Approximations for the distribution of perpetuities with small discount rates ⋮ Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation ⋮ On the ruin probability in a dependent discrete time risk model with insurance and financial risks ⋮ Tail behavior of discounted portfolio loss under upper tail comonotonicity ⋮ Asymptotic behaviour of ruin probabilities in a general discrete risk model using moment indices ⋮ Finite time ruin probability with heavy-tailed insurance and financial risks ⋮ Tail behavior of the product of two dependent random variables with applications to risk theory ⋮ Efficient rare-event simulation for perpetuities ⋮ The tail probability of the product of dependent random variables from max-domains of attraction ⋮ Interplay of insurance and financial risks in a stochastic environment ⋮ Asymptotic results for renewal risk models with risky investments ⋮ Some properties of the exponential distribution class with applications to risk theory ⋮ Approximations of the tail probability of the product of dependent extremal random variables and applications ⋮ Expectation of the truncated randomly weighted sums with dominatedly varying summands ⋮ Ruin probabilities with insurance and financial risks having an FGM dependence structure ⋮ Power estimates for ruin probabilities ⋮ Randomly weighted sums of subexponential random variables with application to capital allocation ⋮ The impact on ruin probabilities of the association structure among financial risks ⋮ Asymptotics for the finite-time ruin probability in a discrete-time risk model with dependent insurance and financial risks ⋮ Estimates for the finite-time ruin probability with insurance and financial risks ⋮ A Hybrid Estimate for the Finite-Time Ruin Probability in a Bivariate Autoregressive Risk Model with Application to Portfolio Optimization ⋮ Ruin probabilities with a Markov chain interest model ⋮ Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments ⋮ Tails of higher-order moments with dominatedly varying summands ⋮ Ruin probability in the presence of risky investments ⋮ Minimal ruin probabilities and investment under interest force for a class of subexponential distributions ⋮ The Ruin Probability of a Discrete Time Risk Model under Constant Interest Rate with Heavy Tails ⋮ A nonhomogeneous risk model for insurance ⋮ Exact conditions for no ruin for the generalised Ornstein-Uhlenbeck process ⋮ Large deviations for generalized compound Poisson risk models and its bankruptcy moments ⋮ The finite-time ruin probability of a discrete-time risk model with subexponential and dependent insurance and financial risks ⋮ Wealth investment strategies for insurance companies and the probability of ruin ⋮ Ruin probabilities for a Lévy-driven generalised Ornstein-Uhlenbeck process ⋮ Asymptotics for heavy-tailed renewal-reward processes and applications to risk processes and heavy traffic networks ⋮ Integrated insurance risk models with exponential Lévy investment ⋮ The finite-time ruin probability with heavy-tailed and dependent insurance and financial risks ⋮ The finite-time ruin probability in the presence of Sarmanov dependent financial and insurance risks ⋮ Interplay of insurance and financial risks in a discrete-time model with strongly regular variation ⋮ Approximation of the tail probability of randomly weighted sums and applications ⋮ Ruin theory for classical risk process that is perturbed by diffusion with risky investments ⋮ Ruin probabilities in a discrete time risk model with dependent risks of heavy tail ⋮ A necessary and sufficient condition for the subexponentiality of the product convolution ⋮ Asymptotic ruin probabilities for proportional investment under interest force with dominatedly-varying-tailed claims ⋮ Ruin probabilities and investment under interest force in the presence of regularly varying tails ⋮ Weak limits of random coefficient autoregressive processes and their application in ruin theory ⋮ Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation ⋮ The Finite-Time Ruin Probability with Dependent Insurance and Financial Risks ⋮ Uniform estimate for maximum of randomly weighted sums with applications to ruin theory ⋮ The Maximum of Randomly Weighted Sums with Long Tails in Insurance and Finance ⋮ Lévy integrals and the stationarity of generalised Ornstein-Uhlenbeck processes ⋮ Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks. ⋮ The finite time ruin probability with the same heavy-tailed insurance and financial risks ⋮ Second-order tail behavior for stochastic discounted value of aggregate net losses in a discrete-time risk model ⋮ An application of risk theory to mortgage lending ⋮ Ruin with insurance and financial risks following the least risky FGM dependence structure ⋮ Estimate for the Finite-time Ruin Probability in the Discrete-time Risk Model with Insurance and Financial Risks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Implicit renewal theory and tails of solutions of random equations
- Regular variation in the tail behaviour of solutions of random difference equations
- Ruin problems with assets and liabilities of diffusion type
- On the ruin probabilities in a general economic environment
- Sharp conditions for certain ruin in a risk process with stochastic return on investments
- First passage times of general sequences of random vectors: A large deviations approach
- On the typical level crossing time and path
- Present value distributions with applications to ruin theory and stochastic equations
- Risk theory in a stochastic economic environment
- Upper bounds for large deviations of dependent random vectors
- Entropy, a useful concept in risk theory
- Ruin probabilities expressed in terms of ladder height distributions
- Rough descriptions of ruin for a general class of surplus processes
- Ruin theory with stochastic return on investments
- Large deviations for the time of ruin
This page was built for publication: Finite and infinite time ruin probabilities in a stochastic economic environment.