  Searches for a light sterile neutrino have been performed independently by
the MINOS and the Daya Bay experiments using the muon (anti)neutrino and
electron antineutrino disappearance channels, respectively. In this Letter,
results from both experiments are combined with those from the Bugey-3 reactor
neutrino experiment to constrain oscillations into light sterile neutrinos. The
three experiments are sensitive to complementary regions of parameter space,
enabling the combined analysis to probe regions allowed by the LSND and
MiniBooNE experiments in a minimally extended four-neutrino flavor framework.
Stringent limits on $\sin^2 2\theta_{\mu e}$ are set over 6 orders of magnitude
in the sterile mass-squared splitting $\Delta m^2_{41}$. The sterile-neutrino
mixing phase space allowed by the LSND and MiniBooNE experiments is excluded
for $\Delta m^2_{41} < 0.8$ eV$^2$ at 95% CL$_s$.
