简单多元正态预测中的荷兰赌:再审视
概率论
2008-12-18 v1
摘要
在这篇说明性论文中,我们描述了一种相对初等的方法,用于在简单的多元正态预测设定中确立荷兰赌(Dutch book)的存在性。该方法涉及推导一个由不变性激发的非标准预测分布。该预测分布满足一个有趣的恒等式,进而为各种可能的预测分布提供了荷兰赌存在性的初等证明。
引用
@article{arxiv.0805.2808,
title = {Dutch book in simple multivariate normal prediction: Another look},
author = {Morris L. Eaton},
journal= {arXiv preprint arXiv:0805.2808},
year = {2008}
}
备注
Published in at http://dx.doi.org/10.1214/193940307000000356 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)