1982
DOI: 10.1086/159751
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A survey of galaxy redshifts. III - The density field and the induced gravity field

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Cited by 235 publications
(211 citation statements)
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“…The error due to large-scale structure fluctuations is (Davis & Huchra 1982), where J 3 is the second moment of the two-point spatial correlation function (Peebles 1980) and V is the appropriate volume. We use J 3 ≈ 10, 000 (h −1 Mpc) 3 (Tucker et al 1997) and record the error from density fluctuations alongside the uncertainty in φ * due to M * and α.…”
Section: Methodsmentioning
confidence: 99%
“…The error due to large-scale structure fluctuations is (Davis & Huchra 1982), where J 3 is the second moment of the two-point spatial correlation function (Peebles 1980) and V is the appropriate volume. We use J 3 ≈ 10, 000 (h −1 Mpc) 3 (Tucker et al 1997) and record the error from density fluctuations alongside the uncertainty in φ * due to M * and α.…”
Section: Methodsmentioning
confidence: 99%
“…Groth & Peebles 1977;Davis & Huchra 1982). The spatial twopoint correlation function is defined as the excess probability, compared with that expected for a random distribution, of finding a pair of galaxies at a separation r 1,2 .…”
Section: Two-point Correlation Functionmentioning
confidence: 99%
“…An additional, much stronger, assumption often adopted is that the space density is a constant, i.e., n(r) = const. This assumption is for instance at the basis of the so-called standard minimum variance estimator (Davis & Huchra 1982;Blanton et al 2003;Loveday 2004). It is clear that we want to avoid making this further assumption because we want to test whether the space density is (or can be approximated by) a simple constant.…”
Section: Appendix C: the Luminosity Functionmentioning
confidence: 99%