RECONSTRUCTING THE SHAPE OF THE CORRELATION FUNCTION

Journal Article · Sat Jun 01 00:00:00 EDT 2013 · Astrophysical Journal, Supplement Series

DOI:https://doi.org/10.1088/0067-0049/206/2/23· OSTI ID:22118760

Huffenberger, K. M.; Galeazzi, M.; Ursino, E. ^[1]

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1. Department of Physics, University of Miami, Coral Gables, FL 33146 (United States)

We develop an estimator for the correlation function which, in the ensemble average, returns the shape of the correlation function, even for signals that have significant correlations on the scale of the survey region. Our estimator is general and works in any number of dimensions. We develop versions of the estimator for both diffuse and discrete signals. As an application, we apply them to Monte Carlo simulations of X-ray background measurements. These include a realistic, spatially inhomogeneous population of spurious detector events. We discuss applying the estimator to the averaging of correlation functions evaluated on several small fields, and to other cosmological applications.

• OSTI ID: 22118760
• Journal Information: Astrophysical Journal, Supplement Series, Vol. 206, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 0067-0049
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASTRONOMY
ASTROPHYSICS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
CORRELATIONS
COSMOLOGY
DATA ANALYSIS
GALAXIES
MONTE CARLO METHOD
SIGNALS
STATISTICS
X RADIATION