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Efficient Monte Carlo Simulation of Security Prices
Efficient Monte Carlo Simulation Security Prices
2015/7/8
This paper provides an asymptotically efficient algorithm for the allocation of computing resources to the problem of Monte Carlo integration of continuous-time security prices. The tradeoff between i...
How to Deal with the Curse of Dimensionality of Likelihood Ratios in Monte Carlo Simulation
Cross-entropy Rare-event probability estimation Screening Simulation
2015/7/6
In this work we show how to resolve, at least partially, the curse of dimensionality of likelihood ratios (LRs) while using importance sampling (IS) to estimate the performance of high-dimensional Mon...
Monte Carlo Simulation with Asymptotic Method
asymptotic method average options derivatives finance Malliavin calculus Monte Carlo simulation optimal portfolio
2009/3/9
We shall propose a new computational scheme with the asymptotic method to achieve variance reduction of Monte Carlo simulation for numerical analysis particularly for finance. We not only provide gene...