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Rare-Event Simulation for Infinite Server Queues
Rare-Event Simulation Infinite Server Queues
2015/7/8
We discuss rare-event simulation methodology for computing tail probabilities for infinite-server queues. Our theoretical discussion also offers some new simulation insights into the change-of-measure...
Much of the rare-event simulation literature is concerned with the development of asymptotically optimal algorithms. Because of the difficulties associated with applying these ideas to complex models,...
Efficient Rare-event Simulation for the Maximum of Heavy-tailed Random Walks
State-dependent importance sampling rare-event simulation heavy-tails Lyapunov bounds random walks
2015/7/6
Let (Xn: n ≥ 0) be a sequence of i.i.d. r.v.’s with negative mean. Set S0 = 0 and define Sn = X1 +· · ·+Xn. We propose an importance sampling algorithm to estimate the tail of M = max{Sn: n ≥ 0} that ...
Rare Event Simulation for a Generalized Hawkes Process
Rare Event Simulation Generalized Hawkes Process
2015/7/6
In this paper we study rare event simulation for the tail probability of an affine point process (Jt)t≥0 that generalizes the Hawkes process. By constructing a suitable exponential martingale, we are ...
Asymptotic Robustness of Estimators in Rare-Event Simulation
Asymptotic Robustness Estimators Rare-Event Simulation
2015/7/6
The asymptotic robustness of estimators as a function of a rarity parameter, in the context of rare-event simulation, is often qualified by properties such as bounded relative error (BRE) and logarith...
Rare event simulation for processes generated via stochastic fixed point equations
Monte Carlo methods importance sampling perpetuities
2011/7/19
In a number of applications, particularly in financial and actuarial mathematics, it is of interest to characterize the tail distribution of a random variable V satisfying the distributional equation ...