One-point Statistics of the Cosmic Density Field in Real and Redshift Spaces with A Multiresolutional Decomposition

Details One-point Statistics of the Cosmic Density Field in Real and Redshift Spaces with A Multiresolutional Decomposition One-point Statistics of the Cosmic Density Field in Real and Redshift Spaces with A Multiresolutional Decomposition

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aas...201.5902z&link_type=abstract

American Astronomical Society, 201st AAS Meeting, #59.02; Bulletin of the American Astronomical Society, Vol. 34, p.1209

Statistics

Scientific paper

A method of performing the one-point statistics of the cosmic density field is developed with a multiresolutional decomposition based on the discrete wavelet transform (DWT). The algorithm for recovering the DWT one-point statistics from redshift distortion is also derived. Tests on N-body simulations show that this algorithm works well on scales from a few hundred to a few h-1 Mpc for popular cold dark matter models. The same recovery can be applied to the rms density fluctuation within a given radius. One can design model independent estimators of the redshift distortion parameter (β ) from combinations of DWT modes in redshift space. When the non-linear redshift distortion is not negligible, the traditional estimator from quadrupole-to-monopole ratio needs additional information about the scale-dependence, such as the power-spectrum index or the real-space correlation function of the random field. The DWT β estimators, however, do not need such extra information. Numerical tests show that the proposed DWT estimators are able to determine β with less than 15% uncertainty in the redshift range 0 <= z <= 3.

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