Proof of nonparametric of signs and ranks algorithms of detection with fixed volumes of samples in conditions of noise and washed out flow of random pulsing interference

Expression for compound distribution of a mix of noise and washed out flow of random pulsing interference (RPI) with any laws of distributions for case of overlapping of casual number of independent pulses of RPI in a interval of the permission is received. On the basis of probability of distribution of rank at a hypothesis of absence of a useful signal is proven of nonparametric of optimum sign, sign, optimum rank, rank and binary rank algorithms of detection with fixed volumes of samples in conditions of noise and washed out flow of RPI with any laws of distributions.