Experimental investigations were made of self-modulation processes in a striated rare-gas discharge at low pressures and currents. It was found that interrelated self-modulation oscillations of the discharge current and of the voltage across the tube can develop in the discharge circuit. Depending on the resistance in the external circuit, either current or voltage self-modulation occurred. An important factor is that the transition from one form of self-modulation to the other does not produce quantitative changes in the spatial modulation of the time-averaged plasma luminescence on the discharge axis. It is shown that a qualitative interpretation of the observed phenomena can be given in terms of an equivalent striation voltage source in the anode region which exists because of interaction between traveling kinetic ionization waves and the discharge region near the anode, and also in terms of processes of a capacitative nature near the electrodes.