Randomly weighted sums of subexponential random variables with application to capital allocation
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Publication:488110
DOI10.1007/s10687-014-0191-zzbMath1328.62089OpenAlexW2011836937MaRDI QIDQ488110
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
Asymptotic distribution theory in statistics (62E20) Extreme value theory; extremal stochastic processes (60G70) Corporate finance (dividends, real options, etc.) (91G50)
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Cites Work
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- Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation
- Asymptotics for risk capital allocations based on conditional tail expectation
- Asymptotics of random contractions
- Approximation of the tail probability of randomly weighted sums and applications
- Uniform estimate for maximum of randomly weighted sums with applications to ruin theory
- Subexponentiality of the product of independent random variables
- Finite and infinite time ruin probabilities in a stochastic economic environment.
- Randomly weighted sums of subexponential random variables with application to ruin theory
- The subexponentiality of products revisited
- Randomly weighted sums with dominated varying-tailed increments and application to risk theory
- Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.
- Risk Measures and Multivariate Extensions of Breiman's Theorem
- An Introduction to Heavy-Tailed and Subexponential Distributions
- The Maximum of Randomly Weighted Sums with Long Tails in Insurance and Finance
- Tail Behavior of Randomly Weighted Sums
- Subexponential distributions and integrated tails
- Subexponential distributions and dominated-variation tails
- Asymptotics for Weighted Random Sums
- A Hybrid Estimate for the Finite-Time Ruin Probability in a Bivariate Autoregressive Risk Model with Application to Portfolio Optimization
- Arbitrage Theory in Continuous Time
- Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation
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