Rare‐Event Simulation

[1]  Jürgen Hartinger,et al.  On the efficiency of the Asmussen–Kroese-estimator and its application to stop-loss transforms , 2009 .

[2]  D. Siegmund Importance Sampling in the Monte Carlo Study of Sequential Tests , 1976 .

[3]  P. Dupuis,et al.  Dynamic importance sampling for queueing networks , 2007, 0710.4389.

[4]  B. Tuffin Bounded normal approximation in simulations of highly reliable Markovian systems , 1999 .

[5]  Dirk P. Kroese,et al.  Simulation and the Monte Carlo method , 1981, Wiley series in probability and mathematical statistics.

[6]  Gerardo Rubino,et al.  Rare Event Simulation using Monte Carlo Methods , 2009 .

[7]  Bruno Tuffin,et al.  Splitting for rare-event simulation , 2006, WSC.

[8]  S. Resnick Heavy tail modeling and teletraffic data: special invited paper , 1997 .

[9]  Nadia Oudjane,et al.  A sequential particle algorithm that keeps the particle system alive , 2005, 2005 13th European Signal Processing Conference.

[10]  P. Glasserman,et al.  A large deviations perspective on the efficiency of multilevel splitting , 1998, IEEE Trans. Autom. Control..

[11]  Paul Dupuis,et al.  Importance sampling for Jackson networks , 2009, Queueing Syst. Theory Appl..

[12]  P. Ney,et al.  Monte Carlo simulation and large deviations theory for uniformly recurrent Markov chains , 1990, Journal of Applied Probability.

[13]  Peter W. Glynn,et al.  Strongly efficient estimators for light-tailed sums , 2006, valuetools '06.

[14]  Dirk P. Kroese,et al.  A comparison of RESTART implementations , 1998, 1998 Winter Simulation Conference. Proceedings (Cat. No.98CH36274).

[15]  Sandeep Juneja,et al.  Simulating heavy tailed processes using delayed hazard rate twisting , 2002, ACM Trans. Model. Comput. Simul..

[16]  Peter W. Glynn,et al.  Asymptotic robustness of estimators in rare-event simulation , 2007, TOMC.

[17]  Paul Glasserman,et al.  Importance Sampling for Portfolio Credit Risk , 2005, Manag. Sci..

[18]  Sandeep Juneja,et al.  Efficient simulation of buffer overflow probabilities in jackson networks with feedback , 2005, TOMC.

[19]  Dirk P. Kroese,et al.  Efficient estimation of large portfolio loss probabilities in t-copula models , 2010, Eur. J. Oper. Res..

[20]  Jingchen Liu,et al.  Path-sampling for state-dependent importance sampling , 2007, 2007 Winter Simulation Conference.

[21]  V. V. Petrov On the Probabilities of Large Deviations for Sums of Independent Random Variables , 1965 .

[22]  Sandeep Juneja,et al.  Estimating tail probabilities of heavy tailed distributions with asymptotically zero relative error , 2007, Queueing Syst. Theory Appl..

[23]  S. Asmussen,et al.  Rare events simulation for heavy-tailed distributions , 2000 .

[24]  P. Dupuis,et al.  Splitting for rare event simulation : A large deviation approach to design and analysis , 2007, 0711.2037.

[25]  Paul Glasserman,et al.  Multilevel Splitting for Estimating Rare Event Probabilities , 1999, Oper. Res..

[26]  Donald L. Iglehart,et al.  Importance sampling for stochastic simulations , 1989 .

[27]  F. Cérou,et al.  Adaptive Multilevel Splitting for Rare Event Analysis , 2007 .

[28]  Bruno Tuffin,et al.  Rare events, splitting, and quasi-Monte Carlo , 2007, TOMC.

[29]  Sandeep Juneja,et al.  On the inefficiency of state-independent importance sampling in the presence of heavy tails , 2007, Oper. Res. Lett..

[30]  Søren Asmussen,et al.  Asymptotics of sums of lognormal random variables with Gaussian copula , 2008 .

[31]  C. Klüppelberg,et al.  Modelling Extremal Events , 1997 .

[32]  Héctor Cancela,et al.  The recursive variance-reduction simulation algorithm for network reliability evaluation , 2003, IEEE Trans. Reliab..

[33]  Paul Glasserman,et al.  Limits of First Passage Times to Rare Sets in Regenerative Processes , 1995 .

[34]  P. Glynn,et al.  Efficient rare-event simulation for the maximum of heavy-tailed random walks , 2008, 0808.2731.

[35]  Philip Heidelberger,et al.  Fast simulation of rare events in queueing and reliability models , 1993, TOMC.

[36]  Karl Sigman,et al.  Appendix: A primer on heavy-tailed distributions , 1999, Queueing Syst. Theory Appl..

[37]  S. Asmussen,et al.  Simulation of Ruin Probabilities for Subexponential Claims , 1997, ASTIN Bulletin.

[38]  David X. Li On Default Correlation , 2000 .

[39]  Sandeep Juneja,et al.  Portfolio Credit Risk with Extremal Dependence: Asymptotic Analysis and Efficient Simulation , 2008, Oper. Res..

[40]  R. Rubinstein,et al.  Quick estimation of rare events in stochastic networks , 1997 .

[41]  Jan-Kees C. W. van Ommeren,et al.  On the importance function in splitting simulation , 2002, Eur. Trans. Telecommun..

[42]  Dirk P. Kroese,et al.  Improved algorithms for rare event simulation with heavy tails , 2006, Advances in Applied Probability.

[43]  Bruno Tuffin,et al.  Splitting with weight windows to control the likelihood ratio in importance sampling , 2006, valuetools '06.