Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913338591543296 |
|---|---|
| author | Ashok, A. Covas, P. B. Prix, R. Papa, M. A. |
| author_facet | Ashok, A. Covas, P. B. Prix, R. Papa, M. A. |
| contents | We present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters $\{h_0, \cos ι, ψ, ϕ_0\}$ of continuous-gravitational waves emitted by known pulsars. This approach leverages the well-established $\mathcal{F}$-statistic framework and software. We further explore the benefits of employing a likelihood function that is analytically marginalized over $ϕ_0$, which avoids signal degeneracy problems in the $ψ$-$ϕ_0$ subspace. The method is tested on simulated signals, hardware injections in Advanced-LIGO detector data, and by performing percentile-percentile (PP) self-consistency tests of the posteriors via Monte-Carlo simulations. We apply our methodology to PSR J1526-2744, a recently discovered millisecond pulsar. We find no evidence for a signal and obtain a Bayesian upper limit $h_0^{95\%}$ on the gravitational-wave amplitude of approximately $7 \times 10^{-27}$, comparable with a previous frequentist upper limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars Ashok, A. Covas, P. B. Prix, R. Papa, M. A. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena We present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters $\{h_0, \cos ι, ψ, ϕ_0\}$ of continuous-gravitational waves emitted by known pulsars. This approach leverages the well-established $\mathcal{F}$-statistic framework and software. We further explore the benefits of employing a likelihood function that is analytically marginalized over $ϕ_0$, which avoids signal degeneracy problems in the $ψ$-$ϕ_0$ subspace. The method is tested on simulated signals, hardware injections in Advanced-LIGO detector data, and by performing percentile-percentile (PP) self-consistency tests of the posteriors via Monte-Carlo simulations. We apply our methodology to PSR J1526-2744, a recently discovered millisecond pulsar. We find no evidence for a signal and obtain a Bayesian upper limit $h_0^{95\%}$ on the gravitational-wave amplitude of approximately $7 \times 10^{-27}$, comparable with a previous frequentist upper limit. |
| title | Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2401.17025 |