  The angular and frequency correlation functions of the transmission
coefficient for light propagation through a strongly scattering amplifying
medium are considered. It is found that just as in the case of an elastic
scattering medium the correlation function consists of three terms. However,
the structure of the terms is rather different. Angular correlation has a
power-law decay and exhibits oscillations. There is no "memory effect" as in
the case of an elastic medium. Interaction between diffusion modes is strongly
enhanced near the lasing threshold. Frequency correlation scale decreases close
to the lasing threshold.
  We also consider time correlations of the transmission in the case of
nonstationary inhomogeneities. We find short- and long-range time correlations.
The scale of the short-range correlation decreases, while the long-range
correlation scale becomes infinite near the threshold.
