Empirical Economics

, Volume 19, Issue 4, pp 555–573

Testing for unit roots with income distribution data

  • Bernd Lucke

DOI: 10.1007/BF01205815

Cite this article as:
Lucke, B. Empirical Economics (1994) 19: 555. doi:10.1007/BF01205815


In this paper I test the unit root hypothesis for US log GNP using the information available in income distribution data. The percentile data of an income distribution are shown to follow the same autoregressive pattern as does mean income. Under the null hypothesis of a unit root log GNP is cointegrated with the percentile data. A sequence of augmented HEGY-Tests, however, presents strong evidence against the unit root hypothesis for the distribution data and hence for log GNP. Using a full information estimation procedure for the percentiles under the alternative yields an estimate of the autoregressive coefficient which is in principle testable by an approximate Dickey-Hasza-Fuller test. The appropriate critical values are found by bootstrap methods. Again, inference is clearly unfavorable for the unit root hypothesis.


Unit rootsincome distributionHEGY-test

JEL Classification System-Number


Copyright information

© Physica-Verlag 1994

Authors and Affiliations

  • Bernd Lucke
    • 1
  1. 1.Institut für Statistik und Ökonometrie, Department of EconomicsFree University of BerlinBerlinGermany