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We propose to use pulsar scintillation measurements to test predictions of alternative theories of gravity. Comparing to single-path pulsar timing measurements, the scintillation measurements can achieve a factor of 10^5 improvement in…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Huan Yang , Atsushi Nishizawa , Ue-Li Pen

L1-norm regularized logistic regression models are widely used for analyzing data with binary response. In those analyses, fusing regression coefficients is useful for detecting groups of variables. This paper proposes a binomial logistic…

Methodology · Statistics 2023-12-15 Yuko Kakikawa , Shuichi Kawano

In this paper we address the statistical problem of testing if a stationary process is Gaussian. The observation consists in a finite sample path of the process. Using a random projection technique introduced and studied in Cuesta-Albertos…

Methodology · Statistics 2009-11-19 Juan . A. Cuesta-Albertos , Fabrice Gamboa Alicia Nieto-Reyes

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

The dynamics of binary pulsars can be used to test different aspects of gravitation. This is particularly important to constrain alternatives to general relativity in regimes which are not probed by other methods. In this short…

General Relativity and Quantum Cosmology · Physics 2016-01-19 Diego Blas

Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

Astrophysics · Physics 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

A new Bayesian method for the analysis of folded pulsar timing data is presented that allows for the simultaneous evaluation of evolution in the pulse profile in either frequency or time, along with the timing model and additional…

Instrumentation and Methods for Astrophysics · Physics 2015-01-09 L Lentati , P. Alexander , M. P. Hobson

The characterization of nanohertz-frequency gravitational waves (GWs) with pulsar-timing arrays requires a continual expansion of datasets and monitored pulsars. Whereas detection of the stochastic GW background is predicated on measuring a…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Stephen R. Taylor , Joseph Simon , Levi Schult , Nihan Pol , William G. Lamb

Bayesian predictive probabilities are commonly used for interim monitoring of clinical trials through efficacy and futility stopping rules. Despite their usefulness, calculation of predictive probabilities, particularly in pre-experiment…

Applications · Statistics 2024-06-18 Joe Marion , Liz Lorenzi , Cora Allen-Savietta , Scott Berry , Kert Viele

The authors propose a robust semi-parametric empirical likelihood method to integrate all available information from multiple samples with a common center of measurements. Two different sets of estimating equations are used to improve the…

Methodology · Statistics 2012-10-03 Hsiao-Hsuan Wang , Yuehua Wu , Yuejiao Fu , Xiaogang Wang

Pulsars are very stable clocks in space which have many applications to problems in physics and astrophysics. Observations of double-neutron-star binary systems have given the first observational evidence for the existence of gravitational…

High Energy Astrophysical Phenomena · Physics 2010-04-22 R. N. Manchester

The detection rate for compact binary mergers has grown as the sensitivity of the global network of ground based gravitational wave detectors has improved, now reaching the stage where robust automation of the analyses is essential.…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Neil J. Cornish

Ultra-light dark matter perturbs the orbital motion of binary pulsars, in particular by causing peculiar time variations of a binary's orbital parameters, which then induce variations in the pulses' times-of-arrival. Binary pulsars have…

High Energy Astrophysical Phenomena · Physics 2024-10-02 Pavel Kůs , Diana López Nacir , Federico R. Urban

In the past decades, the phenomenology of fast time variations of high-energy flux from black-hole binaries has increased, thanks to the availability of more and more sophisticated space observatories, and a complex picture has emerged.…

High Energy Astrophysical Phenomena · Physics 2019-02-19 Tomaso M. Belloni

It is suggested that modern techniques of radio ranging when applied to study the motion of the Moon, can improve the accuracy of tests of relativistic gravitation obtained with currently operating laser ranging techniques. Other auxillary…

Astrophysics · Physics 2007-05-23 R. Cowsik

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

We study Bayesian inference methods for solving linear inverse problems, focusing on hierarchical formulations where the prior or the likelihood function depend on unspecified hyperparameters. In practice, these hyperparameters are often…

Numerical Analysis · Mathematics 2018-08-01 Qingping Zhou , Wenqing Liu , Jinglai Li , Youssef M. Marzouk

Millisecond and binary pulsars are the most stable astronomical standards of frequency. They can be applied to solving a number of problems in astronomy and time-keeping metrology including the search for a stochastic gravitational wave…

Solar and Stellar Astrophysics · Physics 2015-05-14 Sergei Kopeikin

In several interesting applications one is faced with the problem of simultaneous binary hypothesis testing and parameter estimation. Although such joint problems are not infrequent, there exist no systematic analysis in the literature that…

Statistics Theory · Mathematics 2009-11-25 George V. Moustakides

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Réjean J. Dupuis , Graham Woan
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