作者MoshiX2 (阿威)
看板NCTU-STAT98G
标题[演讲] 4/29(五) 统研所专题演讲 (清大)
时间Thu Apr 28 19:33:40 2011
题 目: Efficient Computation of Value at Risk for Heavy-Tailed Risk
Factors
主讲人: 傅承德 教授 (中研院统计所)
时 间: 100年4月29日(星期五)上午 10:40 - 11:30
(上午10:20- 10:40茶会於统计所821室举行)
地 点: 清大综合三馆837室
Abstract
Simulation of small probabilities has important applications in many
disciplines. The probabilities considered in value-at-risk (VaR) are
moderately small. However, the variance reduction techniques developed in
the literature for VaR computation are based on large deviations methods,
which are good for very small probabilities. Modeling heavy-tailed risk
factors using multivariate t distributions, we develop a new method for VaR
computation. We show that the proposed method minimizes the variance of the
importance sampling estimator exactly, while previous methods produce
approximations to the exact solution. Thus, the proposed method consistently
outperforms existing methods derived from large deviations theory under
various settings. The results are confirmed by a simulation study.
Joint work with Inchi Hu, Ya-Hui Hsu and Ren-Her Wang.
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