Authors: Robert J. Budzyński, Witold Kondracki, Andrzej Królak
Date: 28 Dec 2007
Abstract: We 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.
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis