In the Brazilian electric power sector, the distribution tariff revision is made by the price cap method. Since this approach encourages the cost reduction, the quality of supply can suffer deterioration. In this context, a quality supply regulation becomes more important. The continuity of supply regulation consists in setting upper limits or standards to the number and the duration of outages and penalities for any violation of these standards. The main dimension of the electricity quality is the supply continuity, evaluated by indices SAIDI (System Average Interruption Duration Index) and SAIFI (System Average Interruption Frequency Index). This Thesis presents a new implementation of the yardstick competition in the setting of the continuity standards for the electricity distribution utilities and their groups of consumption units. The approach proposed combines two Data Envelopment Analysis models (DEA) in a framework with two stages. First, a classical DEA model performs a comparative analysis between utilities, in order to define global standards for each utility. Then, in order to set the local standards for each consumption units group, a model for resource allocation, based on DEA, performs a comparative analysis between groups in a same utility. Global standards for Brazilian distribution utilities and local standards for consumption units groups of the two main distribution utilities in the Rio de Janeiro State are presented.