  We conjecture that in chaotic quantum systems with escape the intensity
statistics for resonance states universally follows an exponential
distribution. This requires a scaling by the multifractal mean intensity which
depends on the system and the decay rate of the resonance state. We numerically
support the conjecture by studying the phase-space Husimi function and the
position representation of resonance states of the chaotic standard map, the
baker map, and a random matrix model, each with partial escape.
