"Gravitational-Wave Data Analysis.
Formalism and Sample Applications: The Gaussian Case"
by
Piotr Jaranowski and Andrzej Królak
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Abstract
1
Introduction
2
Response of a Detector to a Gravitational-Wave Signal
3
Statistical Theory of Signal Detection
3.1
Bayesian approach
3.2
Minimax approach
3.3
Neyman-Pearson approach
3.4
Likelihood ratio test
4
Parameter Estimation
4.1
Bayesian estimation
4.2
Maximum a posteriori probability estimation
4.3
Maximum likelihood estimation
4.4
Fisher information
4.5
False alarm and detection probabilities - Gaussian case
4.6
Number of templates
4.7
Suboptimal filtering
4.8
Algorithms to calculate the
-statistic
4.9
Upper limits
4.10
Network of detectors
4.11
Non-stationary, non-Gaussian, and non-linear data
5
Acknowledgments
References
Figures