The global contribution of unresolved gamma-ray point sources to the extragalactic gamma-ray background has been recently measured through analyses employing the statistical properties of observed gamma-ray counts. The contribution from each specific source class to the source-count distribution, such as blazars, misaligned Active Galactic Nuclei, or Star Forming Galaxies is affected by significant uncertainties, in particular in the unresolved flux regime. I will discuss the statistics of photon counts and the anisotropies of more than 10 years of Fermi-LAT data as complementary probes of the extra-galactic gamma-ray source populations in different energy bands. Our results  constrain the blazar contribution to the extragalactic gamma-ray background down to gamma-ray fluxes lower than those reached with standard source detection techniques.
 arXiv:1912.01622, to appear in PRD