Discussion by J.A. Hartigan

  • Eric D. Feigelson
  • G. Jogesh Babu


I was delighted with this article, which reviewed statistical techniques used in astronomy for detecting clusters. I will concentrate on the main problem discussed by Beers, the identification of clusters in the projected positions of galaxies on the sky.


Covariance Tigan 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Engelman, L., and Hartigan, J.A. Percentage points of a test for clusters. Journal of the American Statistical Association 64: 1647–1648, 1969.CrossRefGoogle Scholar
  2. Everitt, B.S., and Hand, D.J. Finite Mixture Distributions. Chapman and Hall (London), 1981.MATHGoogle Scholar
  3. Hartigan, J.A. Consistency of single linkage for high density clusters. Journal of the American Statistical Association 76: 388–394, 1981.MathSciNetMATHCrossRefGoogle Scholar
  4. Hartigan, J.A. The span test for unimodality, in Classification and Related Methods of Data Analysis, H.H. Bock, editor, Elsevier Science Publishers B.V. (North-Holland), 1988.Google Scholar
  5. Hartigan, I.A., and Mohanty, S. The runt test for multimodality. Journal of Classification. 1991 (to appear).Google Scholar
  6. Neyman, J. Problems of Extragalactic Research, G. C. McVittie, editor, MacMillan, New York, 1962.Google Scholar
  7. Neyman, J., Scott, E.L., and Shane, C.D. Statistics of images of galaxies with particular reference to clustering. 3rd Berkeley Symposium on Mathematical Statistics and Probability 3, J. Neyman, editor, University of California Press, Berkeley, pp. 75–111, 1954.Google Scholar
  8. Peebles, P.J.E. The Large Scale Structure of the Universe, Princeton University Press, Princeton, N.J, 1980.Google Scholar
  9. Ripley, B.D.E. Statistical Inference for Spatial Processes, Cambridge University Press. Cambridge, 1988.Google Scholar
  10. Totsuji, H., and Kihara, T. The correlation function for the distribution of galaxies. Publications of the Astronomical Society of Japan 21: 221–229. 1969.ADSGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Eric D. Feigelson
    • 1
  • G. Jogesh Babu
    • 2
  1. 1.Department of Astronomy and AstrophysicsPennsylvania State UniversityUSA
  2. 2.Department of StatisticsPennsylvania State UniversityUSA

Personalised recommendations