To model the fast-fading statistics of the wireless transmission channel in indoor peer-to-peer scenarios, an amplitude distribution composed of three distinct components was investigated. They correspond to line-of-sight, once-reflected and twice-reflected propagation paths. It is shown experimentally that this distribution matches indoor peer-to-peer links better than the available alternatives. Furthermore, an interesting structure in the parameter space of the distribution is pointed out, leading to a simple stochastic parameterisation based on a three-modal normal distribution.