Optimal Moments for the Analysis of Peculiar Velocity Surveys II: Testing

Abstract

Analyses of peculiar velocity surveys face several challenges, including low signal--to--noise in individual velocity measurements and the presence of small--scale, nonlinear flows. This is the second in a series of papers in which we describe a new method of overcoming these problems by using data compression as a filter with which to separate large--scale, linear flows from small--scale noise that can bias results. We demonstrate the effectiveness of our method using realistic catalogs of galaxy velocities drawn from N--body simulations. Our tests show that a likelihood analysis of simulated catalogs that uses all of the information contained in the peculiar velocities results in a bias in the estimation of the power spectrum shape parameter $\Gamma$ and amplitude $\beta$, and that our method of analysis effectively removes this bias. We expect that this new method will cause peculiar velocity surveys to re--emerge as a useful tool to determine cosmological parameters.

arXiv comment28 pages, 9 figures

References in corpus (17)

• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• A Precise Distance Indicator: Type Ia Supernova Multicolor Light Curve Shapes
• Using SN Ia Light Curve Shapes to Measure The Hubble Constant
• The peculiar motions of early-type galaxies in two distant regions - VII. Peculiar velocities and bulk motions
• A Large-Scale Bulk Flow of Galaxy Clusters
• The Mass Distribution in the Nearby Universe
• Redshift-distance Survey of Early-type Galaxies: the ENEARc Cluster Sample
• Redshift-Distance Survey of Early-type Galaxies. I. Sample Selection, Properties and Completeness
• How accurately can the SZ effect measure peculiar cluster velocities and bulk flows?
• Large-Scale Power Spectrum and Cosmological Parameters from SFI Peculiar Velocities
• Large-Scale Power Spectrum and Structures From the ENEAR galaxy Peculiar Velocity Catalog
• Interpreting New Data on Large Scale Bulk Flows
• Theoretical Expectations for Bulk Flows in Large Scale Surveys
• Reconstructing Positions \& Peculiar Velocities of Galaxy Clusters within 25000 km/sec: The Bulk Velocity
• Measuring the galaxy power spectrum with multiresolution decomposition -- III. velocity field analysis
• Optimal Moments for the Analysis of Peculiar Velocity Surveys
• A New Approach to Probing Large Scale Power with Peculiar Velocities

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• Bulk Flow and Shear Moments of the SFI++ Survey
• Peculiar Velocities into the Next Generation: Cosmological Parameters From Large Surveys without Bias from Nonlinear Structure
• Large-scale cosmic flows and moving dark energy