2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200023We present a definition of the distance between probability distributions. Our definition is based on the $L_1$ norm on space of probability measures. We compare our distance with the well-known Kullback-Leibler divergence and with the proper distance defined using the Fisher matrix as a metric on the parameter space. We consider using our notion of distance in several problems in gravitational wave data analysis: to place templates in the parameter space in searches for gravitational-wave signals, to assess quality of search templates, and to study the signal resolution.18 pages, 5 figuresGeneral Relativity and Quantum Cosmologytext