  There has been a trend in the past decade to describe the large-scale
structures in the Universe as a (multi)fractal set. However, one of the main
objections raised by the opponents of this approach deals with the transition
to homogeneity. Moreover, they claim there is not enough sampling space to
determine a scaling index which characterizes a (multi)fractal set. In this
work we propose an alternative solution to this problem, using the generalized
thermostatistics formalism. We show that applying the idea of nonextensivity,
intrinsic to this approach, it is possible to derive an expression for the
correlation function, describing the scaling properties of large-scale
structures in the Universe and the transition to homogeneity, which is in good
agreement with observational data.
