Applications of distance between probability distributions to gravitational wave data analysis
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We present a definition of the distance between probability distributions. Our definition is based on the 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.
Keywords
Cite
@article{arxiv.0712.4363,
title = {Applications of distance between probability distributions to gravitational wave data analysis},
author = {Robert J. Budzyński and Witold Kondracki and Andrzej Królak},
journal= {arXiv preprint arXiv:0712.4363},
year = {2008}
}
Comments
18 pages, 5 figures