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We introduce a method for performing a robust Bayesian analysis of non-Gaussianity present in pulsar timing data, simultaneously with the pulsar timing model, and additional stochastic parameters such as those describing red spin noise and…

天体物理仪器与方法 · 物理学 2014-09-19 Lindley Lentati , Michael P. Hobson , Paul Alexander

Pulsar timing observations are usually analysed with least-square-fitting procedures under the assumption that the timing residuals are uncorrelated (statistically "white"). Pulsar observers are well aware that this assumption often breaks…

天体物理仪器与方法 · 物理学 2015-05-28 W. Coles , G. Hobbs , D. J. Champion , R. N. Manchester , J. P. W. Verbiest

A new Bayesian software package for the analysis of pulsar timing data is presented in the form of TempoNest which allows for the robust determination of the non-linear pulsar timing solution simultaneously with a range of additional…

天体物理仪器与方法 · 物理学 2013-12-04 Lindley Lentati , Paul Alexander , Michael P. Hobson , Farhan Feroz , Rutger van Haasteren , Kejia Lee , Ryan M. Shannon

We study statistical properties of stochastic variations in pulse arrival times, timing noise, in radio pulsars using a new analysis method applied in the time domain. The method proceeds in two steps. First, we subtract low-frequency…

高能天体物理现象 · 物理学 2015-06-11 Steve Price , Bennett Link , Steve Shore , David Nice

At the highest levels of pulsar timing precision achieved to date, experiments are limited by noise intrinsic to the pulsar. This stochastic wideband impulse modulated self-noise (SWIMS) limits pulsar timing precision by randomly biasing…

天体物理仪器与方法 · 物理学 2013-01-23 Stefan Osłowski , Willem van Straten , Paul Demorest , Matthew Bailes

The sensitivity of pulsar timing arrays to gravitational waves is, at some level, limited by timing noise. Red timing noise - the stochastic wandering of pulse arrival times with a red spectrum - is prevalent in slow-spinning pulsars and…

高能天体物理现象 · 物理学 2015-06-24 Paul D. Lasky , Andrew Melatos , Vikram Ravi , George Hobbs

We demonstrate that the sensitivity of high-precision pulsar timing experiments will be ultimately limited by the broadband intensity modulation that is intrinsic to the pulsar's stochastic radio signal. That is, as the peak flux of the…

星系天体物理 · 物理学 2011-09-23 Stefan Oslowski , Willem van Straten , George Hobbs , Matthew Bailes , Paul Demorest

Timing analyses of gamma-ray pulsars in the Fermi Large Area Telescope data set can provide sensitive probes of many astrophysical processes, including timing noise in young pulsars, orbital period variations in redback binaries, and the…

高能天体物理现象 · 物理学 2026-05-20 Colin J. Clark , Serena Valtolina , Lars Nieder , Rutger van Haasteren

Langevin stochastic differential equations provide a dynamical description of pulsar timing noise and gravitational wave background (GWB) signals. They are also central to state space algorithms that have gained traction in pulsar timing…

高能天体物理现象 · 物理学 2026-05-05 Reginald Christian Bernardo

Radio pulsars are often used as clocks in a wide variety of experiments. Imperfections in the clock, known as timing noise, have the potential to reduce the significance of, or even thwart e.g. the attempt to find a stochastic gravitational…

高能天体物理现象 · 物理学 2019-06-26 Nakornping Namkham , Phrudth Jaroenjittichai , Simon Johnston

The smooth spin-down of young pulsars is perturbed by two non-deterministic phenomenon, glitches and timing noise. Although the timing noise provides insights into nuclear and plasma physics at extreme densities, it acts as a barrier to…

The detection of nanoHertz gravitational waves through pulsar timing arrays hinges on identifying a common stochastic process affecting all pulsars in a correlated way across the sky. In the presence of other deterministic and stochastic…

高能天体物理现象 · 物理学 2024-02-14 Patrick M. Meyers , Katerina Chatziioannou , Michele Vallisneri , Alvin J. K. Chua

A new model independent method is presented for the analysis of pulsar timing data and the estimation of the spectral properties of an isotropic gravitational wave background (GWB). We show that by rephrasing the likelihood we are able to…

In this work we review the application of the theory of Gaussian processes to the modeling of noise in pulsar-timing data analysis, and we derive various useful and optimized representations for the likelihood expressions that are needed in…

广义相对论与量子宇宙学 · 物理学 2014-11-19 Rutger van Haasteren , Michele Vallisneri

Frequency metrology outperforms any other branch of metrology in accuracy (parts in $10^{-16}$) and small fluctuations ($<10^{-17}$). In turn, among celestial bodies, the rotation speed of millisecond pulsars (MSP) is by far the most stable…

数据分析、统计与概率 · 物理学 2022-02-04 Siyuan Chen , Francois Vernotte , Enrico Rubiola

The stochastic gravitational-wave background is imprinted on the times of arrival of radio pulses from millisecond pulsars. Traditional pulsar timing analyses fit a timing model to each pulsar and search the residuals of the fit for a…

高能天体物理现象 · 物理学 2023-11-13 William DeRocco , Jeff A. Dror

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…

天体物理仪器与方法 · 物理学 2015-01-09 L Lentati , P. Alexander , M. P. Hobson

We analyse the stochastic properties of the 49 pulsars that comprise the first International Pulsar Timing Array (IPTA) data release. We use Bayesian methodology, performing model selection to determine the optimal description of the…

We present an analysis of high-precision pulsar timing data taken as part of the North American Nanohertz Observatory for Gravitational waves (NANOGrav) project. We have observed 17 pulsars for a span of roughly five years using the Green…

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