Applications of distance between probability distributions to gravitational wave data analysis

Details Applications of distance between probability distributions to gravitational wave data analysis Applications of distance between probability distributions to gravitational wave data analysis

2007-12-28

arxiv.org/abs/0712.4363v1

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.

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