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The Fisher Information matrix is a widely used measure for applications ranging from statistical inference, information geometry, experiment design, to the study of criticality in biological systems. Yet there is no commonly accepted…

统计计算 · 统计学 2016-02-17 Omri Har Shemesh , Rick Quax , Borja Miñano , Alfons G. Hoekstra , Peter M. A. Sloot

First, for each case to be tested, a specific target inspiral signal is selected for parameter extraction. In a future real analysis, the target signal would be a real signal actually observed by a gravitational wave detector such as LISA.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 James S. Graber

In recent years forecasting activities have become a very important tool for designing and optimising large scale structure surveys. To predict the performance of such surveys, the Fisher matrix formalism is frequently used as a fast and…

宇宙学与河外天体物理 · 物理学 2021-05-12 S. Yahia-Cherif , A. Blanchard , S. Camera , S. Ilić , K. Markovič , A. Pourtsidou , Z. Sakr , D. Sapone , I. Tutusaus

Double white dwarf binaries in the Galaxy dominate the gravitational wave sky and would be detectable for an instrument such as LISA. Most studies have calculated the expected gravitational wave signal under the assumption that the binary…

高能天体物理现象 · 物理学 2015-06-05 D. van den Broek , G. Nelemans , M. Dan , S. Rosswog

Starting from the Fisher matrix for counts in cells, I derive the full Fisher matrix for surveys of multiple tracers of large-scale structure. The key assumption is that the inverse of the covariance of the galaxy counts is given by the…

宇宙学与河外天体物理 · 物理学 2012-05-28 L. Raul Abramo

Gravitational waves emitted by coalescing compact objects carry information about the spin of the individual bodies. However, with present detectors only the mass-weighted combination of the components of the spin along the orbital angular…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Ken K. Y. Ng , Salvatore Vitale , Aaron Zimmerman , Katerina Chatziioannou , Davide Gerosa , Carl-Johan Haster

Using simple, intuitive arguments, we discuss the expected accuracy with which astrophysical parameters can be extracted from an observed gravitational wave signal. The observation of a chirp like signal in the data allows for measurement…

广义相对论与量子宇宙学 · 物理学 2023-09-18 Stephen Fairhurst , Charlie Hoy , Rhys Green , Cameron Mills , Samantha A. Usman

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

We develop a general formalism for the parameter-space metric of the multi-detector F-statistic, which is a matched-filtering detection statistic for continuous gravitational waves. We find that there exists a whole family of F-statistic…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Reinhard Prix

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

广义相对论与量子宇宙学 · 物理学 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

广义相对论与量子宇宙学 · 物理学 2024-09-09 Sebastian Khan

Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

广义相对论与量子宇宙学 · 物理学 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

We characterize the expected statistical errors with which the parameters of black-hole binaries can be measured from gravitational-wave (GW) observations of their inspiral, merger and ringdown by a network of second-generation ground-based…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Archisman Ghosh , Walter Del Pozzo , Parameswaran Ajith

The global network of interferometric gravitational wave (GW) observatories (LIGO, Virgo, KAGRA) has detected and characterized nearly 100 mergers of binary compact objects. However, many more real GWs are lurking sub-threshold, which need…

高能天体物理现象 · 物理学 2023-06-28 Jack Heinzel , Colm Talbot , Gregory Ashton , Salvatore Vitale

We assess the feasibility of probing dark energy with strong gravitational lensing systems. The capability of the method, which depends on the accuracy with which the lensing systems are modeled, is quantitatively investigated using the…

天体物理学 · 物理学 2009-11-07 Kazuhiro Yamamoto , Yasufum Kadoya , Tsukasa Murata , Toshifumi Futamase

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

Fast, highly accurate, and reliable inference of the sky origin of gravitational waves would enable real-time multi-messenger astronomy. Current Bayesian inference methodologies, although highly accurate and reliable, are slow. Deep…

广义相对论与量子宇宙学 · 物理学 2022-08-17 Alex Kolmus , Grégory Baltus , Justin Janquart , Twan van Laarhoven , Sarah Caudill , Tom Heskes

We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Cédric Huwyler , Antoine Klein , Philippe Jetzer

Gravitational wave observations of quasicircular compact binary mergers in principle provide an arbitrarily complex likelihood over eight independent intrinsic parameters: the masses and spins of the two merging objects. In this work, we…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

In order to extract information about the properties of compact binaries, we must estimate the noise power spectral density of gravitational-wave data, which depends on the properties of the gravitational-wave detector. In practice, it is…

天体物理仪器与方法 · 物理学 2020-06-18 Colm Talbot , Eric Thrane