Projects per year
Abstract
We show how to obtain a Bayesian estimate of the rates or numbers of signal and background events from a set of events when the shapes of the signal and background distributions are known, can be estimated, or approximated; our method works well even if the foreground and background event distributions overlap significantly and the nature of any individual event cannot be determined with any certainty. We give examples of determining the rates of gravitational-wave events in the presence of background triggers from a template bank when noise parameters are known and/or can be fit from the trigger data. We also give an example of determining globular-cluster shape, location, and density from an observation of a stellar field that contains a non-uniform background density of stars superimposed on the cluster stars.
Original language | English |
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Article number | 023005 |
Number of pages | 14 |
Journal | Physical Review D |
Volume | 91 |
Issue number | 2 |
DOIs | |
Publication status | Published - 22 Jan 2015 |
Keywords
- astro-ph.IM
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Dive into the research topics of 'Counting and Confusion: Bayesian Rate Estimation With Multiple Populations'. Together they form a unique fingerprint.Projects
- 3 Finished
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Birmingham Astrophysics : Consolidated Grant 2013-2016
Vecchio, A., Ponman, T., Freise, A., Smith, G., Speake, C., Mandel, I., Cruise, M., Raychaudhury, S. & Stevens, I.
SCIENCE & TECHNOLOGY FACILITIES COUNCIL
1/04/13 → 30/09/16
Project: Research Councils
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UK Involvement in the Operations of Advanced LIGO
Vecchio, A. & Freise, A.
SCIENCE & TECHNOLOGY FACILITIES COUNCIL
1/08/11 → 31/12/15
Project: Research Councils
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UK Involvement in the Advanced LIGO Gravitational Wave Project
Vecchio, A., Castelli, C. & Cruise, M.
SCIENCE & TECHNOLOGY FACILITIES COUNCIL
1/06/03 → 31/03/11
Project: Research Councils