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The Fisher matrix (FM) has been generally used to predict the accuracy of the gravitational wave parameter estimation. Although a limitation of the FM has been well known, it is still mainly used due to its very low computational cost…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Hee-Suk Cho , Chang-Hwan Lee

Third-generation gravitational wave detectors such as Einstein Telescope and Cosmic Explorer will have significantly better sensitivities than current detectors, as well as a wider frequency bandwidth. This will increase the number and…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Tomasz Baka , Harsh Narola , Justin Janquart , Anuradha Samajdar , Tim Dietrich , Chris Van Den Broeck

Gravitational waves from a binary with a single dynamically significant spin, notably including precessing black hole-neutron star (BH-NS) binaries, let us constrain that binary's properties: the two masses and the dominant black hole spin.…

General Relativity and Quantum Cosmology · Physics 2015-09-23 R. O'Shaughnessy , P. Nepal , A. Lundgren

The Fisher-matrix formalism is used routinely in the literature on gravitational-wave detection to characterize the parameter-estimation performance of gravitational-wave measurements, given parametrized models of the waveforms, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Vallisneri

Inspiralling black hole-neutron star (BH-NS) binaries emit a complicated gravitational wave signature, produced by multiple harmonics sourced by their strong local gravitational field and further modulated by the orbital plane's precession.…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Hee-Suk Cho , Evan Ochsner , Richard O'Shaughnessy , Chunglee Kim , Chang-Hwan Lee

The Einstein Telescope (ET) has been proposed as one of the third-generation gravitational wave (GW) detectors. The sensitivity of ET would be a factor of 10 better than the second-generation GW detector, Advanced LIGO (aLIGO); thus, the GW…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Hee-Suk Cho

Gravitational-wave astronomers often wish to characterize the expected parameter-estimation accuracy of future observations. The Fisher matrix provides a lower bound on the spread of the maximum-likelihood estimator across noise…

General Relativity and Quantum Cosmology · Physics 2011-11-08 Michele Vallisneri

Using the \texttt{lalinference} Markov-chain Monte Carlo parameter estimation code, we examine two distinct nonprecessing black hole-neutron star (BH-NS) binaries with and without higher-order harmonics. Our simulations suggest that higher…

General Relativity and Quantum Cosmology · Physics 2014-03-26 R. O'Shaughnessy , B. Farr , E. Ochsner , Hee-Suk Cho , C. Kim , Chang-Hwan Lee

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…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 S. Yahia-Cherif , A. Blanchard , S. Camera , S. Ilić , K. Markovič , A. Pourtsidou , Z. Sakr , D. Sapone , I. Tutusaus

We study gravitational wave searches for merging binary neutron stars (NSs). We use nonspinning template waveforms towards the signals emitted from aligned-spin NS-NS binaries, in which the spins of the NSs are aligned with the orbital…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Hee-Suk Cho , Chang-Hwan Lee

We study the effectiveness of stationary-phase approximated post-Newtonian waveforms currently used by ground-based gravitational-wave detectors to search for the coalescence of binary black holes by comparing them to an accurate waveform…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Michael Boyle , Duncan A. Brown , Larne Pekowsky

(Abridged): We assess the statistical errors in estimating the parameters of non-spinning black-hole binaries using ground-based gravitational-wave detectors. While past assessments were based on only the inspiral/ring-down pieces of the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 P. Ajith , Sukanta Bose

Recent gravitational-wave observations have begun to constrain the internal physics of neutron stars. However, current detection searches for neutron star systems assume that potential neutron stars are low-mass black holes, ignoring any…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Ian Harry , Andrew Lundgren

The Fisher information matrix of the cosmic microwave background (CMB) radiation power spectrum coefficients is a fundamental quantity that specifies the information content of a CMB experiment. In the most general case, its exact…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-30 Franz Elsner , Benjamin D. Wandelt

The Fisher Information Matrix (FIM) has been the standard approximation to the accuracy of parameter estimation on gravitational-wave signals from merging compact binaries due to its ease-of-use and rapid computation time. While the…

Instrumentation and Methods for Astrophysics · Physics 2013-10-30 Carl L. Rodriguez , Benjamin Farr , Will M. Farr , Ilya Mandel

We use the Fisher information matrix method to calculate the parameter estimation accuracy of inspiraling supermassive black holes binaries for TianQin, a space-borne laser interferometric detector aimed at detecting gravitational waves in…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Wen-Fan Feng , Hai-Tian Wang , Xin-Chun Hu , Yi-Ming Hu , Yan Wang

Reliable low-latency gravitational wave parameter estimation is essential to target limited electromagnetic followup facilities toward astrophysically interesting and electromagnetically relevant sources of gravitational waves. In this…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Brandon Miller , Richard O'Shaughnessy , Tyson B. Littenberg , Ben Farr

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…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-28 L. Raul Abramo

Upcoming cosmological surveys will achieve increasingly precise constraints in cosmological parameter estimation. To guarantee the robustness of cosmological analyses, it is essential to account for and model systematic effects that can…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Biancamaria Sersante , Christos Georgiou , Nora Elisa Chisari

We derive an analytical form of the joint prior of effective spin parameters, $\chi_\mathrm{eff}$ and $\chi_\mathrm{p}$, assuming an isotropic and uniform-in-magnitude spin distribution. This is a vital factor in performing hierarchical…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Masaki Iwaya , Kazuya Kobayashi , Soichiro Morisaki , Kenta Hotokezaka , Tomoya Kinugawa
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