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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Robust performance hypothesis testing with the variance
Organization Unit
Authors
  • Olivier Ledoit
  • Michael Wolf
Item Subtype Original Work
Refereed No
Status Published in final form
Language
  • English
Journal Title Wilmott Magazine
Publisher Wiley-Blackwell
Geographical Reach international
ISSN 1540-6962
Volume 2011
Number 55
Page Range 86 - 89
Date 2011
Abstract Text Applied researchers often test for the difference of the variance of two investment strategies; in particular, when the investment strategies under consideration aim to implement the global minimum variance portfolio. A popular tool to this end is the F-test for the equality of variances. Unfortunately, this test is not valid when the returns are correlated, have tails heavier than the normal distribution, or are of time series nature. Instead, we propose the use of robust inference methods. In particular, we suggest to construct a studentized time series bootstrap confidence interval for the ratio of the two variances and to declare the two variances different if the value one is not contained in the obtained interval. This approach has the advantage that one can simply resample from the observed data as opposed to some null-restricted data. A simulation study demonstrates the improved finite-sample performance compared to existing methods.
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Digital Object Identifier 10.1002/wilm.10036
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