  We perform a detailed study of inclusive jet production cross sections at the
LHC and compare the QCD theory predictions based on the recently developed
formalism for threshold and jet radius joint resummation at next-to-leading
logarithmic accuracy to inclusive jet data collected by the CMS collaboration
at $\sqrt{S} = 7$ and $13$TeV. We compute the cross sections at next-to-leading
order in QCD with and without the joint resummation for different choices of
jet radii $R$ and observe that the joint resummation leads to crucial
improvements in the description of the data. Comprehensive studies with
different parton distribution functions demonstrate the necessity of
considering the joint resummation in fits of those functions based on the LHC
jet data.
