EDP Sciences
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Volume 373, Number 3, July III 2001
Page(s) 782 - 785
Section Cosmology
DOI http://dx.doi.org/10.1051/0004-6361:20010638

A&A 373, 782-785 (2001)
DOI: 10.1051/0004-6361:20010638

Estimating the power-law of the two-point correlation function

An analytical investigation of several estimation procedures
M. Snethlage

Mathematical Department, Silesian University at Opava, 74601 Opava 1, Czech Republik

(Received 26 January 2001 / Accepted 1 May 2001)

There is empirical evidence that the two-point correlation function of the galaxy point pattern follows for small r reasonably well a power-law expression $\xi(r)\propto r^{-\gamma}$. This paper analyses the estimation procedure for $\gamma$ and suggests an estimator for $\xi(r)$ which is well suited for the estimation of $\gamma$.

Key words: large-scale structure of Universe -- cosmology: theory

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