  In this paper, we consider the transmitter optimization problem in slow
fading multiple-input-single-output (MISO) wiretap channel. The source
transmits a secret message intended for $K$ users in the presence of $J$
non-colluding eavesdroppers, and operates under a total power constraint. The
channels between the source and all users and eavesdroppers are assumed to be
slow fading, and only statistical channel state information (CSI) is known at
the source. For a given code rate and secrecy rate pair of the wiretap code,
denoted by $(R_{D}, R_{s})$, we define the non-outage event as the joint event
of the link information rates to $K$ users be greater than or equal to $R_{D}$
and the link information rates to $J$ eavesdroppers be less than or equal to
$(R_{D} - R_{s})$. We minimize the transmit power subject to the total power
constraint and satisfying the probability of the non-outage event to be greater
than or equal to a desired threshold $(1-\epsilon)$.
