Enregistré dans:
| Auteurs principaux: | , , , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.11091 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909737438674944 |
|---|---|
| author | Talbot, Colm Biscoveanu, Sylvia Zimmerman, Aaron Baka, Tomasz Farr, Will M. Golomb, Jacob Hoy, Charlie Lundgren, Andrew Tissino, Jacopo Williams, Michael J. Veitch, John Vijaykumar, Aditya |
| author_facet | Talbot, Colm Biscoveanu, Sylvia Zimmerman, Aaron Baka, Tomasz Farr, Will M. Golomb, Jacob Hoy, Charlie Lundgren, Andrew Tissino, Jacopo Williams, Michael J. Veitch, John Vijaykumar, Aditya |
| contents | Smooth window functions are often applied to strain data when inferring the parameters describing the astrophysical sources of gravitational-wave transients. Within the LIGO-Virgo-KAGRA collaboration, it is conventional to include a term to account for power loss due to this window in the likelihood function. We show that the inclusion of this factor leads to biased inference. The simplest solution to this, omitting the factor, leads to unbiased posteriors and Bayes factor estimates provided the window does not suppress the signal for signal-to-noise ratios $\lesssim O(100)$, but unreliable estimates of the absolute likelihood. Instead, we propose a multi-stage method that yields consistent estimates for the absolute likelihood in addition to unbiased posterior distributions and Bayes factors for signal-to-noise ratios $\lesssim O(1000)$. Additionally, we demonstrate that the commonly held wisdom that using rectangular windows necessarily leads to biased inference is incorrect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11091 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inference with finite time series II: the window strikes back Talbot, Colm Biscoveanu, Sylvia Zimmerman, Aaron Baka, Tomasz Farr, Will M. Golomb, Jacob Hoy, Charlie Lundgren, Andrew Tissino, Jacopo Williams, Michael J. Veitch, John Vijaykumar, Aditya General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Smooth window functions are often applied to strain data when inferring the parameters describing the astrophysical sources of gravitational-wave transients. Within the LIGO-Virgo-KAGRA collaboration, it is conventional to include a term to account for power loss due to this window in the likelihood function. We show that the inclusion of this factor leads to biased inference. The simplest solution to this, omitting the factor, leads to unbiased posteriors and Bayes factor estimates provided the window does not suppress the signal for signal-to-noise ratios $\lesssim O(100)$, but unreliable estimates of the absolute likelihood. Instead, we propose a multi-stage method that yields consistent estimates for the absolute likelihood in addition to unbiased posterior distributions and Bayes factors for signal-to-noise ratios $\lesssim O(1000)$. Additionally, we demonstrate that the commonly held wisdom that using rectangular windows necessarily leads to biased inference is incorrect. |
| title | Inference with finite time series II: the window strikes back |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2508.11091 |