Ways to improve your correlation functions

Statistics – Computation

Scientific paper

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Computation, Cosmology, Error Analysis, Estimating, Functions (Mathematics), Galactic Structure, Magnitude, Measurement, Statistical Correlation, Integrals, Universe

Scientific paper

This paper describes a number of ways to improve on the standard method for measuring the two-point correlation function of large scale structure in the Universe. Issues addressed are: (1) the problem of the mean density, and how to solve it; (2) how to estimate the uncertainty in a measured correlation function; (3) minimum variance pair weighting; (4) unbiased estimation of the selection function when magnitudes are discrete; and (5) analytic computation of angular integrals in background pair counts.

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