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关于投资的随机和最坏情况模型

On Stochastic and Worst-case Models for Investing
课程网址: http://videolectures.net/nips09_hazan_swc/  
主讲教师: Elad Hazan
开课单位: 以色列理工学院
开课时间: 2010-01-19
课程语种: 英语
中文简介:
在实践中,大多数投资是在假设股票价格回报的概率模型(称为几何布朗运动(GBM))的情况下完成的。虽然它通常是可接受的近似值,但GBM模型并不总是凭经验有效。这推动了最坏情况下的投资方法,称为全球投资组合管理,其目标是相对于事后最好的固定投资组合所赚取的财富来最大化财富。在本文中,我们将这两种方法联系起来,并设计一种在最坏情况下具有普遍性的投资策略,并且能够利用最有效的GBM模型。我们的方法是基于具有exp凹损函数的在线凸优化的新的和改进的后悔界限。
课程简介: In practice, most investing is done assuming a probabilistic model of stock price returns known as the Geometric Brownian Motion (GBM). While it is often an acceptable approximation, the GBM model is not always valid empirically. This motivates a worst-case approach to investing, called universal portfolio management, where the objective is to maximize wealth relative to the wealth earned by the best fixed portfolio in hindsight. In this paper we tie the two approaches, and design an investment strategy which is universal in the worst-case, and yet capable of exploiting the mostly valid GBM model. Our method is based on new and improved regret bounds for online convex optimization with exp-concave loss functions.
关 键 词: 投资; 股票; 概率模型
课程来源: 视频讲座网
最后编审: 2019-09-06:lxf
阅读次数: 36