An edition of Rank-1/2 (2007)

Rank-1/2

a simple way to improve the ols estimation of tail exponents

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Rank-1/2
Xavier Gabaix
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Last edited by MARC Bot
December 19, 2020 | History
An edition of Rank-1/2 (2007)

Rank-1/2

a simple way to improve the ols estimation of tail exponents

  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

"Despite the availability of more sophisticated methods, a popular way to estimate a Pareto exponent is still to run an OLS regression: log(Rank)=a-b log(Size), and take b as an estimate of the Pareto exponent. The reason for this popularity is arguably the simplicity and robustness of this method. Unfortunately, this procedure is strongly biased in small samples. We provide a simple practical remedy for this bias, and propose that, if one wants to use an OLS regression, one should use the Rank-1/2, and run log(Rank-1/2)=a-b log(Size). The shift of 1/2 is optimal, and reduces the bias to a leading order. The standard error on the Pareto exponent zeta is not the OLS standard error, but is asymptotically (2/n)^(1/2) zeta. Numerical results demonstrate the advantage of the proposed approach over the standard OLS estimation procedures and indicate that it performs well under dependent heavy-tailed processes exhibiting deviations from power laws. The estimation procedures considered are illustrated using an empirical application to Zipf's law for the U.S. city size distribution"--National Bureau of Economic Research web site.

Publish Date
Language
English

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Edition Availability
Cover of: Rank-1/2
Rank-1/2: a simple way to improve the ols estimation of tail exponents
2007, National Bureau of Economic Research
electronic resource : in English

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Book Details


Edition Notes

Title from PDF file as viewed on 9/21/2007.

Includes bibliographical references.

Also available in print.

System requirements: Adobe Acrobat Reader.

Mode of access: World Wide Web.

Published in
Cambridge, MA
Series
NBER working paper series -- working paper . 342, Working paper series (National Bureau of Economic Research : Online) -- working paper no. . 342.

Classifications

Library of Congress
HB1

The Physical Object

Format
[electronic resource] :

ID Numbers

Open Library
OL31800461M
LCCN
2007616545

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December 19, 2020 Created by MARC Bot Imported from Library of Congress MARC record