FROM FINANCE TO COSMOLOGY: THE COPULA OF LARGE-SCALE STRUCTURE

Journal Article · Fri Jan 01 00:00:00 EST 2010 · Astrophysical Journal Letters

DOI:https://doi.org/10.1088/2041-8205/708/1/L9; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21301445

Scherrer, Robert J; Berlind, Andreas A; Mao, Qingqing; McBride, Cameron K ^[1]

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1. Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235 (United States)

Any multivariate distribution can be uniquely decomposed into marginal (one-point) distributions, and a function called the copula, which contains all of the information on correlations between the distributions. The copula provides an important new methodology for analyzing the density field in large-scale structure. We derive the empirical two-point copula for the evolved dark matter density field. We find that this empirical copula is well approximated by a Gaussian copula. We consider the possibility that the full n-point copula is also Gaussian and describe some of the consequences of this hypothesis. Future directions for investigation are discussed.

• OSTI ID: 21301445
• Journal Information: Astrophysical Journal Letters, Vol. 708, Issue 1; Other Information: DOI: 10.1088/2041-8205/708/1/L9; Country of input: International Atomic Energy Agency (IAEA); ISSN 2041-8205
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
CORRELATIONS
COSMOLOGY
DENSITY
FUNCTIONS
GALAXY CLUSTERS
MULTIVARIATE ANALYSIS
NONLUMINOUS MATTER
UNIVERSE