Sunday, June 16, 2013

functional data analysis shapes of intraday price curves

科学网—泛函分析起源于什么? - 曹广福的博文

Predictability of Shapes of Intraday Price Curves

  1. PIOTR KOKOSZKA1,
  2. MATTHEW REIMHERR2
DOI: 10.1111/ectj.12006

Author Information

  1. 1Department of Statistics, Colorado State University, Fort Collins, CO, USA
  2. 2Department of Statistics, University of Chicago, Chicago, IL, USA

Publication History

  1. Accepted manuscript online: 1 MAR 2013 03:47AM EST
  2. Manuscript Accepted: 1 FEB 2013
  3. Manuscript Received: 1 JUL 2012

Keywords:

  • Predictability;
  • Functional Data Analysis;
  • Intraday Returns

Summary

We develop a statistical framework, based on functional data analysis, for testing the hypothesis of the predictability of shapes of intraday price curves. We derive test statistics based on signs of the scores of the functional principal components. We establish its asymptotic properties under the null and alternative hypotheses, and demonstrate via simulations that it has excellent finite sample properties. A small empirical study shows that the shapes of the intraday price curves of large US corporations are not predictable.
 
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