Higher order statistics from the APM galaxy survey

István Szapudi, Gavin B. Dalton, George Efstathiou, Alexander S. Szalay

Research output: Contribution to journalReview article

36 Citations (Scopus)


We apply a new statistics, the factorial moment correlators, to density maps obtained from the APM survey The resulting correlators are all proportional to the two-point correlation function, substantially amplified with an amplification nearly exponential with the total rank of the correlators. This confirms the validity of the hierarchical clustering assumption on the dynamic range examined, corresponding to 0.5-50 h-1 Mpc in three-dimensional space. The Kirkwood superposition with loop terms is strongly rejected. The structure coefficients of the hierarchy are also fitted. The high quality of the APM catalog enabled us to disentangle the various contributions from the power spectrum, small-scale nonlinear clustering, and combinatorial effects, all of which affect the amplification of the correlators. These effects should appear in correlations of clusters in a similar fashion.

Original languageEnglish
Pages (from-to)520-531
Number of pages12
JournalAstrophysical Journal
Issue number2
Publication statusPublished - May 10 1995



  • Galaxies: cluster: general
  • Large-scale structure of universe
  • Methods: statistical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Szapudi, I., Dalton, G. B., Efstathiou, G., & Szalay, A. S. (1995). Higher order statistics from the APM galaxy survey. Astrophysical Journal, 444(2), 520-531. https://doi.org/10.1086/175626