Cosmological distance scale. Part 8. The scale factor

Abstract

Structurally parametric identification of the characteristics of the dispersion in the Friedmann–Robertson–Walker model and its approximations as models for cosmological distance scales are examined on the basis of the data on type SN Ia supernovae used to detect the “acceleration in the expansion of the universe.” It is shown that the deviations from the position characteristics of these models as a function of distance (the scale factor) are multiplicative. Estimates of the convolutions of the random and nonparametric unexcluded systematic components of the inadequacy errors of the Friedmann–Robertson–Walker model are obtained in the class of truncated distributions with zero curvature parameter and a Heckmann approximation with anisotropy and interpolation models taken into account.