An alternative solution to the problem of power service continuity associated to fault location is presented in this paper, by using a methodology of statistical nature based on finite mixtures. A statistical model which helps to locate the faulted zone, is obtained from the extraction of the magnitude of the voltage sag registered during a fault event, along with the network parameters and topology. The objective is to offer an economic alternative of easy implementation for the development of strategies oriented to improve the reliability from the reduction of the restoration times in power distribution systems. As results presented for an application example in a 25kV system, the faulted zones were identified, having low error rates.