Estimating the power-law of the two-point correlation function. An analytical investigation of several estimation procedures

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Large-Scale Structure Of Universe, Cosmology: Theory

Scientific paper

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)~ 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 .

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