Abstract
Basic mathematical concepts of gravitational-wave data analysis are introduced. In particular statistical principles of detection of signals in noise and estimation of their parameters are presented. Applications to the main signals of gravitational waves that can be modeled as functions of time dependent on several unknown parameters are given.
References
Jaranowski P, Królak A (2005) Gravitational-wave data analysis. Formalism and sample applications: the Gaussian case. Living Rev Relativ 8:3
Jaranowski P, Królak A (2009) Analysis of gravitational-wave data. Cambridge University Press, Cambridge
Bayes T (1763) An essay towards solving a problem in doctrine of chances. Phil Trans R Soc 53:293–315
Neyman J, Pearson E (1933) On the problem of the most efficient tests of statistical hypothesis. Phil Trans R Soc Ser A 231:289–337
Wald A (1939) Contribution to the theory of statistical estimation and testing of hypotheses. Ann Math Stat 10:299–326
Rao C (1945) Information and the accuracy attainable in the estimation of statistical parameters. Bull Calcutta Math Soc 37:81–89
Cramèr H (1946) Mathematical methods of statistic. Princeton University Press, Princeton
Wilks SS (1938) The large-sample distribution of the likelihood ratio for testing composite hypotheses. Ann Math Stat 9:60
Adler J (1981) The geometry of random fields. Wiley, New York
Jaranowski P, Królak A, Schutz BF (1998) Data analysis of gravitational-wave signals from spinning neutron stars: the signal and its detection. Phys Rev D58:063001
Owen BJ (1996) Search templates for gravitational waves from inspiraling binaries: choice of template spacing. Phys Rev D53:6749–6761
Meyer C (2000) Matrix analysis and applied linear algebra. SIAM, Philadelphia
Apostolatos TA (1995) Search templates for gravitational waves from precessing, inspiraling binaries. Phys Rev D52:605–620
Acknowledgements
The work was supported in part by the Polish National Science Centre grant no. 2017/26/M/ST9/00978.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this entry
Cite this entry
Królak, A. (2021). Principles of Gravitational-Wave Data Analysis. In: Bambi, C., Katsanevas, S., Kokkotas, K.D. (eds) Handbook of Gravitational Wave Astronomy. Springer, Singapore. https://doi.org/10.1007/978-981-15-4702-7_43-1
Download citation
DOI: https://doi.org/10.1007/978-981-15-4702-7_43-1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-4702-7
Online ISBN: 978-981-15-4702-7
eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics