| Autor: |
Bero, John J., Whelan, John T. |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Classical and Quantum Gravity, Volume 36, Number 1 (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/1361-6382/aaed6a |
| Popis: |
We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four amplitude parameters of the signal. We show that by Taylor-expanding to first order in certain averaged combinations of antenna patterns (elements of the parameter space metric), the marginalization integral can be performed analytically, producing a closed-form approximation in terms of confluent hypergeometric functions. We demonstrate using Monte Carlo simulations that this approximation is as powerful as the full $\mathcal{B}$-statistic, and outperforms the traditional maximum-likelihood $\mathcal{F}$-statistic, for several observing scenarios which involve an average over sidereal times. We also show that the approximation does not perform well for a near-instantaneous observation, so the approximation is suited to long-time continuous wave observations rather than transient modelled signals such as compact binary inspiral. |
| Databáze: |
arXiv |
| Externí odkaz: |
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