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arXiv · 0712.4363

Applications of distance between probability distributions to gravitational wave data analysis

Robert J. Budzyński·Witold Kondracki·Andrzej Królak
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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.

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Robert J. Budzyński, Witold Kondracki, Andrzej Królak. 2007-12-28. Applications of distance between probability distributions to gravitational wave data analysis. https://doi.org/10.1088/0264-9381%2F25%2F1%2F015005

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