
Abstract 
1 
Introduction 
2 
Response of a Detector to a Gravitational
Wave 
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 
Nonstationary,
nonGaussian, and nonlinear data 
5 
Acknowledgments 

References 

Updates 

Figures 