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The recently published analysis of the coincidences between the EXPLORER and NAUTILUS gravitational wave detectors in the year 2001 (Astone et al. 2002) has drawn some criticism (Finn 2003). We do not hold with these objections, even if we…

We derive a Bayesian criterion for assessing whether signals observed in two separate data sets originate from a common source. The Bayes factor for a common vs. unrelated origin of signals includes an overlap integral of the posterior…

High Energy Astrophysical Phenomena · Physics 2018-06-13 Gregory Ashton , Eric Burns , Tito Dal Canton , Thomas Dent , Heinz-Bernd Eggenstein , Alex B. Nielsen , Reinhard Prix , Michal Was , Sylvia J. Zhu

We report the result from a search for bursts of gravitational waves using data collected by the cryogenic resonant detectors EXPLORER and NAUTILUS during the year 2001, for a total measuring time of 90 days. With these data we repeated the…

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

A common task in physics and astronomy is studying which of the competing hypotheses the data prefer. This is usually done by computing the Bayes factor between the two hypotheses, and either interpreting it in terms of the posterior odds…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Ankur Barsode

Third-generation (3G) gravitational-wave detectors will observe thousands of coalescing neutron star binaries with unprecedented fidelity. Extracting the highest precision science from these signals is expected to be challenging owing to…

Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John Veitch , Alberto Vecchio

The analysis of gravitational wave data involves many model selection problems. The most important example is the detection problem of selecting between the data being consistent with instrument noise alone, or instrument noise and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neil J. Cornish , Tyson B. Littenberg

We present a general framework for incorporating astrophysical information into Bayesian parameter estimation techniques used by gravitational wave data analysis to facilitate multi-messenger astronomy. Since the progenitors of transient…

High Energy Astrophysical Phenomena · Physics 2014-10-14 XiLong Fan , Christopher Messenger , Ik Siong Heng

Gravitational-wave data analysis demands sophisticated statistical noise models in a bid to extract highly obscured signals from data. In Bayesian model comparison, we choose among a landscape of models by comparing their marginal…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Haochen Wang , Stephen R. Taylor , Michele Vallisneri

We present results of the search for coincident burst excitations over a 24 hours long data set collected by AURIGA, EXPLORER, NAUTILUS and Virgo detectors during September 2005. The search of candidate triggers was performed independently…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Virgo collaboration

A recent report on gravitational wave detector data from the NAUTILUS and EXPLORER detector groups claims a statistically significant excess of coincident events when the detectors are oriented in a way that maximizes their sensitivity to…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Lee Samuel Finn

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

We performed a search for short gravitational wave bursts using about 3 years of data of the resonant bar detectors Nautilus and Explorer. Two types of analysis were performed: a search for coincidences with a low background of accidentals…

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

While gravitational waves have not yet been measured directly, data analysis from detection experiments commonly includes an upper limit statement. Such upper limits may be derived via a frequentist or Bayesian approach; the theoretical…

Data Analysis, Statistics and Probability · Physics 2015-03-19 Christian Röver , Chris Messenger , Reinhard Prix

Second generation interferometric gravitational wave detectors, such as Advanced LIGO and Advanced Virgo, are expected to begin operation by 2015. Such instruments plan to reach sensitivities that will offer the unique possibility to test…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Walter Del Pozzo , John Veitch , Alberto Vecchio

Bayesian inference is the workhorse of gravitational-wave astronomy, for example, determining the mass and spins of merging black holes, revealing the neutron star equation of state, and unveiling the population properties of compact…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Colm Talbot , Rory Smith , Eric Thrane , Gregory B. Poole

The Bayesian evidence is a key tool in model selection, allowing a comparison of models with different numbers of parameters. Its use in analysis of cosmological models has been limited by difficulties in calculating it, with current…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-01 Juan Garcia-Bellido
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