A comparison of the galaxy peculiar velocity field with the PSCz gravity field-- A Bayesian hyper-parameter method
arXiv:1205.4237 · doi:10.1111/j.1365-2966.2012.21671.x
Abstract
We constructed a Bayesian hyper-parameter statistical method to quantify the difference between predicted velocities derived from the observed galaxy distribution in the \textit{IRAS}-PSC redshift survey and peculiar velocities measured using different distance indicators. In our analysis we find that the model--data comparison becomes unreliable beyond $70 \hmpc$ because of the inadequate sampling by \textit{IRAS} survey of prominent, distant superclusters, like the Shapley Concentration. On the other hand, the analysis of the velocity residuals show that the PSC gravity field provides an adequate model to the local, $\le 70 \hmpc$, peculiar velocity field. The hyper-parameter combination of ENEAR, SN, A1SN and SFI++ catalogues in the Bayesian framework constrains the amplitude of the linear flow to be . For an rms density fluctuations in the PSC galaxy number density , we obtain an estimate of the growth rate of density fluctuations , which is in excellent agreement with independent estimates based on different techniques.
14 pages, 32 figures, MNRAS in press, matched the MNRAS published version
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