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A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is…

广义相对论与量子宇宙学 · 物理学 2017-03-16 Craig J. Hogan , Ohkyung Kwon

Statistical studies of exoplanets and the properties of their host stars have been critical to informing models of planet formation. Numerous trends have arisen in particular from the rich Kepler dataset, including that exoplanets are more…

地球与行星天体物理 · 物理学 2021-02-04 Jonah T. Hansen , Luca Casagrande , Michael J. Ireland , Jane Lin

This paper proposes stochastic models for the analysis of ocean surface trajectories obtained from freely-drifting satellite-tracked instruments. The proposed time series models are used to summarise large multivariate datasets and infer…

应用统计 · 统计学 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Eric Danioux

The astrometric signature imposed by a planet on its primary increases substantially towards longer periods (proportinal to P^2/3), so that long-period planets can be more easily detected, in principle. For example, a one Solar-mass (M_Sun)…

天体物理学 · 物理学 2007-05-23 Rob P. Olling

We address the problem of assessing the statistical significance of candidate periodicities found using the so-called `multi-harmonic' periodogram, which is being used for detection of non-sinusoidal signals, and is based on the…

天体物理学 · 物理学 2009-05-12 Roman V. Baluev

White dwarf stars are ubiquitous in the Galaxy, and are essential to understanding stellar evolution. While most white dwarfs are photometrically stable and reliable flux standards, some can be highly variable, which can reveal unique…

太阳与恒星天体物理 · 物理学 2024-07-31 Maya Steen , J. J. Hermes , Joseph A. Guidry , Annabelle Paiva , Jay Farihi , Tyler M. Heintz , Brison B. Ewing , Nathanial Berry

The increased sensitivity of future radio telescopes will result in requirements for higher dynamic range within the image as well as better resolution and immunity to interference. In this paper we propose a new matrix formulation of the…

天体物理学 · 物理学 2014-11-18 Chen Ben-David , Amir Leshem

Real-time measurements are becoming feasible in cosmology, where the next generation of telescopes will detect the temporal change of redshifts and sky positions of individual sources with a precision that will allow a direct detection of…

宇宙学与河外天体物理 · 物理学 2024-06-11 Asta Heinesen , Mikołaj Korzyński

Over the last 20 years Hubble Space Telescope Fine Guidance Sensor interferometric astrometry has produced precise and accurate parallaxes of astrophysical interesting stars and mass estimates for stellar companions. We review parallax…

太阳与恒星天体物理 · 物理学 2016-12-14 G. Fritz Benedict , Barbara E. McArthur , Edmund P. Nelan , Thomas E. Harrison

The least-squares (or Lomb-Scargle) periodogram is a powerful tool which is used routinely in many branches of astronomy to search for periodicities in observational data. The problem of assessing statistical significance of candidate…

天体物理学 · 物理学 2008-04-02 Roman V. Baluev

The European Gaia astrometry mission is due for launch in 2011. Gaia will rely on the proven principles of ESA's Hipparcos mission to create an all-sky survey of about one billion stars throughout our Galaxy and beyond, by observing all…

The Hipparcos mission (1989-1993) resulted in the first space-based stellar catalogue including measurements of positions, parallaxes and annual proper motions accurate to about one milli-arcsecond. More space astrometry missions will…

天体物理仪器与方法 · 物理学 2012-01-16 Daniel Michalik , Lennart Lindegren , David Hobbs , Uwe Lammers , Yoshiyuki Yamada

The ability to automatically and robustly self-verify periodicity present in time-series astronomical data is becoming more important as data sets rapidly increase in size. The age of large astronomical surveys has rendered manual…

天体物理仪器与方法 · 物理学 2024-06-14 Niall Miller , Philip Lucas , Yi Sun , Zhen Guo , Calum Morris , William Cooper

We show how astrometric and spectroscopic errors introduced by an unresolved binary system can be combined to give estimates of the binary period and mass ratio. This can be performed analytically if we assume we see one or more full orbits…

太阳与恒星天体物理 · 物理学 2022-10-11 Shion Andrew , Zephyr Penoyre , Vasily Belokurov , N. Wyn Evans , Semyeong Oh

The in-depth analysis of time series has gained a lot of research interest in recent years, with the identification of periodic patterns being one important aspect. Many of the methods for identifying periodic patterns require time series'…

机器学习 · 计算机科学 2019-11-15 Maximilian Toller , Roman Kern

We provide a revised assessment of the number of exoplanets that should be discovered by Gaia astrometry, extending previous studies to a broader range of spectral types, distances, and magnitudes. Our assessment is based on a large…

地球与行星天体物理 · 物理学 2015-06-23 Michael Perryman , Joel Hartman , Gáspár Bakos , Lennart Lindegren

Distinguishing long-memory behaviour from nonstationarity is challenging, as both produce slowly decaying sample autocovariances. Existing stationarity tests either fail to account for long-memory processes or exhibit poor empirical size,…

统计方法学 · 统计学 2025-10-29 Mohamedou Ould Haye , Anne Philippe

The completeness of the Gaia catalogues heavily depends on the status of that space telescope through time. Stars are only published with each of the astrometric, photometric and spectroscopic data products if they are detected a minimum…

星系天体物理 · 物理学 2020-12-16 Douglas Boubert , Andrew Everall , Jack Fraser , Amery Gration , Berry Holl

The study of the atmospheres of transiting exoplanets requires a photometric precision, and repeatability, of one part in $\sim 10^4$. This is beyond the original calibration plans of current observatories, hence the necessity to…

地球与行星天体物理 · 物理学 2015-08-06 Giuseppe Morello

In this paper, we propose a fast, well-performing, and consistent method for segmenting a piecewise-stationary, linear time series with an unknown number of breakpoints. The time series model we use is the nonparametric Locally Stationary…

统计方法学 · 统计学 2016-11-30 Haeran Cho , Piotr Fryzlewicz