  We establish boundary estimates for non-negative solutions to the p-parabolic
equation in the degenerate range $p>2$. Our main results include new parabolic
intrinsic Harnack chains in cylindrical NTA-domains together with sharp
boundary decay estimates. If the underlying domain is $C^{1,1}$-regular, we
establish a relatively complete theory of the boundary behavior, including
boundary Harnack principles and H\"older continuity of the ratios of two
solutions, as well as fine properties of associated boundary measures. There is
an intrinsic waiting time phenomena present which plays a fundamental role
throughout the paper. In particular, conditions on these waiting times rule out
well-known examples of explicit solutions violating the boundary Harnack
principle.
