  Combined measurements of the production and decay rates of the Higgs boson,
as well as its couplings to vector bosons and fermions, are presented. The
analysis uses the LHC proton-proton collision data set recorded with the CMS
detector in 2016 at $\sqrt{s} =$ 13 TeV, corresponding to an integrated
luminosity of 35.9 fb$^{-1}$. The combination is based on analyses targeting
the five main Higgs boson production mechanisms (gluon fusion, vector boson
fusion, and associated production with a W or Z boson, or a top quark-antiquark
pair) and the following decay modes: H $\to$ $\gamma\gamma$, ZZ, WW,
$\tau\tau$, bb, and $\mu\mu$. Searches for invisible Higgs boson decays are
also considered. The best-fit ratio of the signal yield to the standard model
expectation is measured to be $\mu$ $=$ 1.17 $\pm$ 0.10, assuming a Higgs boson
mass of 125.09 GeV. Additional results are given for parametrizations with
varying assumptions on the scaling behavior of the different production and
decay modes, including generic ones based on ratios of cross sections and
branching fractions or coupling modifiers. The results are compatible with the
standard model predictions in all parametrizations considered. In addition,
constraints are placed on various two Higgs doublet models.
