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#### Bayesian F-statistic-based parameter estimation of continuous gravitational waves from known pulsars

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2401.17025.pdf

(Preprint), 5MB

PhysRevD.109.104002.pdf

(Publisher version), 6MB

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##### Citation

Ashok, A., Covas, P. B., Prix, R., & Papa, M. A. (2024). Bayesian F-statistic-based
parameter estimation of continuous gravitational waves from known pulsars.* Physical Review D,*
*109*(10): 104002. doi:10.1103/PhysRevD.109.104002.

Cite as: https://hdl.handle.net/21.11116/0000-000E-55B5-6

##### Abstract

We present a new method and implementation to obtain Bayesian posteriors on

the amplitude parameters $\{h_0, \cos \iota, \psi, \phi_0\}$ 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 $\phi_0$, which avoids signal degeneracy

problems in the $\psi$-$\phi_0$ 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 $7 \times 10^{-27}$, consistent with a previous frequentist upper

limit.

the amplitude parameters $\{h_0, \cos \iota, \psi, \phi_0\}$ 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 $\phi_0$, which avoids signal degeneracy

problems in the $\psi$-$\phi_0$ 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 $7 \times 10^{-27}$, consistent with a previous frequentist upper

limit.