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Risk processes perturbed by α-stable Lévy motion
7 references·16 citing·41 second hop
Risk processes perturbed by α-stable Lévy motion (1998)Risk processes perturbed by α-stable Lévy…Stable Non-Gaussian Random ProcessesGennady Samorodnitsky and Murad S. Taqqu Chapman and Hall, 1994 (1997)Stable Non-Gaussian Random Pr…Modelling of extremal events in insurance and finance (1994)Modelling of extremal events …Risk theory for the compound Poisson process that is perturbed by diffusion (1991)Risk theory for the compound …Aspects of Risk Theory (1991)Aspects of Risk TheorySubexponentiality and infinite divisibility (1979)Subexponentiality and infinit…An extension of the renewal equation and its application in the collective theory of risk (1970)An extension of the renewal e…The First Passage Time of a Level and the Behavior at Infinity for a Class of Processes with Independent Increments (1964)The First Passage Time of a L…On the drawdown of completely asymmetric Lévy processes (2012)On the drawdown of completely…Ruin Probability with Parisian Delay for a Spectrally Negative Lévy Risk Process (2011)Ruin Probability with Parisia…Refracted Lévy processes (2010)Refracted Lévy processesOn a generalization of the Gerber–Shiu function to path-dependent penalties (2009)On a generalization of the Ge…Convexity and Smoothness of Scale Functions and de Finetti’s Control Problem (2009)Convexity and Smoothness of S…An optimal dividends problem with transaction costs for spectrally negative Lévy processes (2009)An optimal dividends problem …An Optimal Dividends Problem with a Terminal Value for Spectrally Negative Lévy Processes with a Completely Monotone Jump Density (2009)An Optimal Dividends Problem …A note on scale functions and the time value of ruin for Lévy insurance risk processes (2009)A note on scale functions and…Special, conjugate and complete scale functions for spectrally negative Lévy processes (2008)Special, conjugate and comple…A Lévy Insurance Risk Process with Tax (2008)A Lévy Insurance Risk Process…Fourier Inversion Formulas in Option Pricing and Insurance (2007)Fourier Inversion Formulas in…Distribution of the Present Value of Dividend Payments in a Lévy Risk Model (2007)Distribution of the Present V…On The Expected Discounted Penalty function for Lévy Risk Processes (2006)On The Expected Discounted Pe…On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications (2004)On max-sum equivalence and co…Ruin theory revisited: stochastic models for operational risk (2002)Ruin theory revisited: stocha…Spectrally negative Lévy processes with applications in risk theory (2001)Spectrally negative Lévy proc…Controlled diffusion models for optimal dividend pay-out (1997)Limit Theorems for Stochastic Processes (2003)Brownian Motion and Stochastic Calculus (2007)Gerber–Shiu Risk Theory (2013)ON THE OPTIMAL DIVIDEND PROBLEM FOR A SPECTRALLY POSITIVE LÉVY PROCESS (2014)Extreme Values, Regular Variation and Point Processes (1987)Conditional value-at-risk for general loss distributions (2002)Correlation and Dependence in Risk Management: Properties and Pitfalls (2002)Top Incomes in the Long Run of History (2011)Actuarial Mathematics. (1986)On the discounted penalty at ruin in a jump-diffusion and the perpetual put option (1998)Strategies for Dividend Distribution: A Review (2009)Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions (2010)Applied Probability and Queues (1987)Financial Modelling with Jump Processes (2003)The Finite Moment Log Stable Process and Option Pricing (2003)On Gerber-Shiu functions and optimal dividend distribution for a Lévy risk-process in the presence of a penalty function (2011)On magnitude, asymptotics and duration of drawdowns for Lévy models (2016)Drawdown: From Practice to Theory and Back Again (2017)On the tails of waiting-time distributions (1975)On closure and factorization properties of subexponential and related distributions (1980)Subexponential distributions and characterizations of related classes (1989)Large deviations of heavy-tailed random sums with applications in insurance and finance (1997)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Modelling Extremal Events (1997)On the time value of absolute ruin with debit interest (2007)Sums of Dependent Nonnegative Random Variables with Subexponential Tails (2008)Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation (2010)The Variation of Certain Speculative Prices (1963)The Behavior of Stock-Market Prices (1965)The variation of certain speculative prices (1997)Modelling by Lévy Processess for Financial Econometrics (2001)Multifractality Tests Using Bootstrapped Wavelet Leaders (2007)Analysis of the Rosenblatt process (2008)Optimal Dividends (2004)Minimizing the Probability of Ruin When Claims Follow Brownian Motion with Drift (2005)Ruin probabilities and decompositions for general perturbed risk processes (2004)Wiener-Hopf Factorization for Lévy Processes Having Positive Jumps with Rational Transforms (2008)A generalized defective renewal equation for the surplus process perturbed by diffusion (2002)Collective Risk Theory (2004)Dividend payments with a threshold strategy in the compound Poisson risk model perturbed by diffusion (2006)
this work references cited by second hop

References

  • 1994Modelling of extremal events in insurance and finance3,519 cited
  • 1991Aspects of Risk Theory902 cited
  • 1997Stable Non-Gaussian Random ProcessesGennady Samorodnitsky and Murad S. Taqqu Chapman and Hall, 1994389 cited
  • 1979Subexponentiality and infinite divisibility307 cited
  • 1991Risk theory for the compound Poisson process that is perturbed by diffusion298 cited
  • 1970An extension of the renewal equation and its application in the collective theory of risk141 cited
  • 1964The First Passage Time of a Level and the Behavior at Infinity for a Class of Processes with Independent Increments114 cited

Cited by

  • 2004On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications92 cited
  • 2010Refracted Lévy processes91 cited
  • 2012On the drawdown of completely asymmetric Lévy processes88 cited
  • 2009A note on scale functions and the time value of ruin for Lévy insurance risk processes86 cited
  • 2011Ruin Probability with Parisian Delay for a Spectrally Negative Lévy Risk Process84 cited
  • 2008A Lévy Insurance Risk Process with Tax81 cited
  • 2006On The Expected Discounted Penalty function for Lévy Risk Processes78 cited
  • 2009

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An optimal dividends problem with transaction costs for spectrally negative Lévy processes
71 cited
  • 2008Special, conjugate and complete scale functions for spectrally negative Lévy processes70 cited
  • 2009On a generalization of the Gerber–Shiu function to path-dependent penalties68 cited
  • 2007Distribution of the Present Value of Dividend Payments in a Lévy Risk Model67 cited
  • 2001Spectrally negative Lévy processes with applications in risk theory62 cited
  • 2009An Optimal Dividends Problem with a Terminal Value for Spectrally Negative Lévy Processes with a Completely Monotone Jump Density61 cited
  • 2009Convexity and Smoothness of Scale Functions and de Finetti’s Control Problem56 cited
  • 2007Fourier Inversion Formulas in Option Pricing and Insurance47 cited
  • 2002Ruin theory revisited: stochastic models for operational risk44 cited