LIGO Document P070016-x0

A Bayesian method to set upper limits on the strength of a periodic gravitational wave signal from the remnant of SN1987A: possible applications in LIGO searches

Document #:
LIGO-P070016-x0
Document type:
P - Publications
Abstract:
We present a method that assesses the theoretical detection limit of a Bayesian Markov chain Monte Carlo search for a periodic gravitational wave signal emitted by a neutron star. Inverse probability yields an upper limit estimate for the strength when a signal could not be detected in an observed data set. The proposed method is based on Bayesian model comparison that automatically quantifies Occam s Razor. It limits the complexity of a model by favoring the most parsimonious model that explains the data. By comparing the model with a signal from a pulsar to the null model that assumes solely noise, we derive the detection probability and an estimate for the upper limit that a search, for example, for a narrow-band emission for SN1987a, might yield on data at the sensitivity of LIGO data for an observation time of one year.
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Notes and Changes:

Rev P070016-00-Z:
- Full document number: LIGO-P070016-00-Z
- Author(s): Nelson Christensen; Renate Meyer; Richard Umstatter
- Document date: 2007-04-11
- Document received date: 2007-04-11
- Document entry date: 2007-04-11
Publication Information:
http://arXiv.org/abs/0808.2225v1

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