Summary of cosmology with gravitational waves from compact binary
  coalescences
  GW170817 with its coincident optical counterpart has led to a first "standard
siren" measurement of the Hubble constant independent of the cosmological
distance ladder. The Schutz "statistical" method, which is expected to work in
the absence of uniquely identified hosts, has also started bringing in its
first estimates. In this work we report the current results of the
gravitational-wave measurement of the Hubble constant and discuss the prospects
with observations during the upcoming runs of the Advanced LIGO-Virgo detector
network.
