Abstract
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.
| Original language | English (US) |
|---|---|
| Article number | 23 |
| Journal | Astrophysical Journal, Supplement Series |
| Volume | 206 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2013 |
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Keywords
- cosmology: observations
- galaxies: statistics
- methods: data analysis
- methods: numerical
- methods: statistical
- X-rays: diffuse background
ASJC Scopus subject areas
- Space and Planetary Science
- Astronomy and Astrophysics
Cite this
Reconstructing the shape of the correlation function. / Huffenberger, K. M.; Galeazzi, Massimiliano; Ursino, E.
In: Astrophysical Journal, Supplement Series, Vol. 206, No. 2, 23, 06.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Reconstructing the shape of the correlation function
AU - Huffenberger, K. M.
AU - Galeazzi, Massimiliano
AU - Ursino, E.
PY - 2013/6
Y1 - 2013/6
N2 - 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.
AB - 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.
KW - cosmology: observations
KW - galaxies: statistics
KW - methods: data analysis
KW - methods: numerical
KW - methods: statistical
KW - X-rays: diffuse background
UR - http://www.scopus.com/inward/record.url?scp=84879850427&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84879850427&partnerID=8YFLogxK
U2 - 10.1088/0067-0049/206/2/23
DO - 10.1088/0067-0049/206/2/23
M3 - Article
VL - 206
JO - Astrophysical Journal, Supplement Series
JF - Astrophysical Journal, Supplement Series
SN - 0067-0049
IS - 2
M1 - 23
ER -