2011
DOI: 10.1088/0004-637x/732/2/65
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AN UNBIASED METHOD OF MODELING THE LOCAL PECULIAR VELOCITY FIELD WITH TYPE Ia SUPERNOVAE

Abstract: We apply statistically rigorous methods of nonparametric risk estimation to the problem of inferring the local peculiar velocity field from nearby supernovae (SNIa). We use two nonparametric methods -Weighted Least Squares (WLS) and Coefficient Unbiased (CU) -both of which employ spherical harmonics to model the field and use the estimated risk to determine at which multipole to truncate the series. We show that if the data are not drawn from a uniform distribution or if there is power beyond the maximum multi… Show more

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Cited by 22 publications
(44 citation statements)
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“…Peculiar velocities typically determine f σ 8 at very low redshift, z < 0.1, and thus provide an important complementary test of both dark energy and modified gravity. There has been a lot of activity in using velocities to to test for consistency with expectations from the ΛCDM model [335,336,[344][345][346][347][348][349][350][351][352][353] and to measure cosmological parameters [337,354]; see figure 12. Chief concerns include the reliability of distance indicators which are required in order to infer the peculiar velocity.…”
Section: Peculiar Velocitiesmentioning
confidence: 99%
“…Peculiar velocities typically determine f σ 8 at very low redshift, z < 0.1, and thus provide an important complementary test of both dark energy and modified gravity. There has been a lot of activity in using velocities to to test for consistency with expectations from the ΛCDM model [335,336,[344][345][346][347][348][349][350][351][352][353] and to measure cosmological parameters [337,354]; see figure 12. Chief concerns include the reliability of distance indicators which are required in order to infer the peculiar velocity.…”
Section: Peculiar Velocitiesmentioning
confidence: 99%
“…In this paper, we use Type Ia supernovae (SNeIa) as our peculiar velocity tracers. SNe have also been used as peculiar velocity probes by a number of authors (Riess, Press & Kirshner 1995; Riess et al 1997; Radburn‐Smith, Lucey & Hudson 2004; Lucey, Radburn‐Smith & Hudson 2005; Pike & Hudson 2005; Haugbølle et al 2007; Colin et al 2011; Dai, Kinney & Stojkovic 2011; Weyant et al 2011).…”
Section: Introductionmentioning
confidence: 99%
“…For the sparsest sample with n ≥ 10 −6 h 3 Mpc −3 , the bias could attain 50% or more. This indicates that one should carefully account for this effect when low-order velocity statistics are measured from very sparse samples like supernovae [29,32,33,41].…”
Section: Discussionmentioning
confidence: 99%
“…Even more controversial are the claims of the very large scale (∼ 300h −1 Mpc) 'dark flow' by [24], which again is not corroborated by related analyses [25,26]. Thanks to the ever growing amount of observational data, there is continued interest in measuring the BF and, if these discrepancies could be resolved, using it as a cosmological probe; for some more recent results see [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”
Section: Introductionmentioning
confidence: 99%