  We consider the statistics of pulsar binaries with white dwarf companions
(NS-WD). Using the statistical analysis method developed by Kim et al. (2003)
we calculate the Galactic coalescence rate of NS-WD binaries due to
gravitational-wave emission. We find that the most likely values for the total
Galactic coalescence rate (R_tot) of NS-WD binaries lie in the range 0.2--10
per Myr depending on different assumed pulsar population models. For our
reference model, we obtain R_tot=4.11_(-2.56)^(+5.25) per Myr at a 68%
statistical confidence level. These rate estimates are not corrected for pulsar
beaming and as such they are found to be about a factor of 20 smaller than the
Galactic coalescence rate estimates for double neutron star systems. Based on
our rate estimates, we calculate the gravitational-wave background due to
coalescing NS-WD binaries out to extragalactic distances within the frequency
band of the Laser Interferometer Space Antenna. We find the contribution from
NS-WD binaries to the gravitational-wave background to be negligible.
