  Modern observations and models of various astrophysical objects suggest that
many of their physical parameters fluctuate substantially at different spatial
scales. The rich variety of the emission processes, including Transition
Radiation but not limited to it, arising in such turbulent media constitutes
the scope of Stochastic Theory of Radiation. We review general approaches
applied in the stochastic theory of radiation and specific methods used to
calculate the transition radiation produced by fast particles in the magnetized
randomly inhomogeneous plasma. The importance of the theory of transition
radiation for astrophysics is illustrated by one example of its detailed
application to a solar radio burst, including specially designed algorithms of
the spectral forward fitting.
