Scaling in financial prices: I. Tails and dependence
综述了金融价格标度性的已知事实,包括尾部特征和依赖性,并介绍了多分形及‘星方程’在金融中的直接应用,适合对金融价格统计性质感兴趣的学者快速了解背景。
The scaling properties of financial prices raise many questions. To provide background - appropriately so in the first issue of a new journal! - this paper, part I (sections 1 to 3), is largely a survey of the present form of some material that is well known yet repeatedly rediscovered. It originated in the author's work during the 1960s. Part II follows as sections 4 to 6, but can to a large extent be read separately. It is more technical and includes important material on multifractals and the 'star equation'; part of it appeared in 1974 but is little known or appreciated - for reasons that will be mentioned. Part II ends by showing the direct relevance to finance of a very recent improvement on the author's original (1974) theory of multifractals.