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The J-Shape Of Performance Persistence Given Survivorship Bias

Darryll Hendricks, Jayendu Patel and Richard Zeckhauser

The Review of Economics and Statistics, 1997, vol. 79, issue 2, 161-166

Abstract: Performance may enhance survival probability. When it does, the induced lack of randomness challenges robust and unbiased inference. If survivors are sorted into two groups based on past performance, spurious persistence has been demonstrated if variance in performance is heterogeneous. However, as we show both theoretically and with simulations, if performance is categorized finely, the spurious persistence will be J - shaped; that is, at the bottom better performance in one period "predicts" worse performance for another period. We propose a simple t - test applied to the quadratic coefficient in a regression to distinguish between a spurious J - shape and monotonic patterns. Mutual funds, our example, exhibit the monotonically increasing pattern produced by true performance persistence. © 1997 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Date: 1997
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The Review of Economics and Statistics is currently edited by Pierre Azoulay, Olivier Coibion, Will Dobbie, Raymond Fisman, Benjamin R. Handel, Brian A. Jacob, Kareen Rozen, Xiaoxia Shi, Tavneet Suri and Yi Xu

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