In this paper, we study stochastic comparisons of order statistics of independent random variables with proportional hazard rates, using the notion of variance majorization.

Counts-in-cells are measured in the τCDM Virgo Hubble Volume simulation. This large N -body experiment has 10 particles in a cubic box of size 2000 h Mpc. The unprecedented combination of size and resolution allows for the first time a realistic numerical analysis of the cosmic errors and cosmic correlations of statistics related to counts-in-cells measurements, such as the probability distribu...

Abstract Cosmological simulations play an increasingly important role in analysing the observed large-scale structure of Universe. Recently, they have been particularly building hybrid models that combine a perturbative bias expansion with displacement fields extracted from N-body to describe clustering biased tracers. Here, we show employ technique referred as “Fixing-and-pairing” (F&P) ca...