Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-12-28
Class.Quant.Grav.25:015005,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 5 figures
Scientific paper
10.1088/0264-9381/25/1/015005
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.
Budzynski Robert J.
Kondracki Witold
Krolak Andrzej
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