  An outer bound for the degrees of freedom (DoF) region of the K-user
multiple-input single-output (MISO) broadcast channel (BC) is developed under
the hybrid channel state information at transmitter (CSIT) model, in which the
transmitter has instantaneous CSIT of channels to a subset of the receivers and
delayed CSIT of channels to the rest of the receivers. For the 3-user MISO BC,
when the transmitter has instantaneous CSIT of the channel to one receiver and
delayed CSIT of channels to the other two, two new communication schemes are
designed, which are able to achieve the DoF tuple of
$\left(1,\frac{1}{3},\frac{1}{3}\right)$, with a sum DoF of $\frac{5}{3}$, that
is greater than the sum DoF achievable only with delayed CSIT. Another
communication scheme showing the benefit of the alternating CSIT model is also
developed, to obtain the DoF tuple of $\left(1,\frac{4}{9},\frac{4}{9}\right)$
for the 3-user MISO BC.
