Applications of distance between probability distributions to gravitational wave data analysis

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.

18 pages, 5 figures

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• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
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Cited by in corpus (1)

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