Statistical properties of Trichel pulses with AC voltages are studied, measuring simultaneously the frequency distributions of the apparent charge q and of the light intensity qL. The occurrence of quasi-Trichel pulses and negative streamers, in addition to regular Trichel pulses, is observed. It is established that, along with the normal conditions necessary for the occurrence of regular Trichel pulses, a sufficiently intense Malter emission of electrons is essential. If this intensity is insufficient quasi-Trichel pulses appear and if there is no emission negative streamers appear. The above types of partial discharge differ in certain properties, namely the range of values of q; the values of the ratio q/qL; the stability of the pulses with time and the spread of the times of occurrence on the negative half-cycle of the applied voltage.