Spatial correlation functions and the pairwise peculiar velocity dispersion of galaxies in the PSCz survey: implications for the galaxy biasing in cold dark matter models

We report on the measurement of the two-point correlation function, and the pairwise peculiar velocity of galaxies in the IRAS PSCz survey. We compute these statistics first in redshift space, and then obtain the projected functions which have simple relations to the real-space correlation functions on the basis of the method developed earlier in analyzing the Las Campanas Redshift Survey (LCRS) by Jing, Mo, & Börner (1998). We find that the real space two-point correlation function can be fitted to a power law ξ(r) = (r0/r) γ with γ = 1.69 and r0 = 3.70 h Mpc. The pairwise peculiar velocity dispersion σ12(rp) is close to 400 km s at rp = 3 h Mpc and decreases to about 150 km s at rp ≈