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The study of X-ray time-lag spectra in active galactic nuclei (AGN) is currently an active research area, since it has the potential to illuminate the physics and geometry of the innermost region (i.e. close to the putative super-massive…

天体物理仪器与方法 · 物理学 2016-06-29 A. Epitropakis , I. E. Papadakis

Covariance parameter estimation of Gaussian processes is analyzed in an asymptotic framework. The spatial sampling is a randomly perturbed regular grid and its deviation from the perfect regular grid is controlled by a single scalar…

统计理论 · 数学 2014-12-09 François Bachoc

Astronomical data are typically irregular in time, e.g. the space (HIPPARCOS/TYCHO, KEPLER, GAIA, WISE etc.) and ground-based CCD (NSVS, ASAS, CRTS, SuperWASP etc.) and photographic (Harvard, Sonneberg, Odessa etc.) photometrical surveys.…

太阳与恒星天体物理 · 物理学 2019-02-05 Ivan L. Andronov

We review some practical aspects of measuring the amplitude of variability in `red noise' light curves typical of those from Active Galactic Nuclei (AGN). The quantities commonly used to estimate the variability amplitude in AGN light…

天体物理学 · 物理学 2010-04-06 S. Vaughan , R. Edelson , R. S. Warwick , P. Uttley

This paper sets out to measure the timescale of quasar variability with a view to new understanding of the size of accretion discs in active galactic nuclei. Previous attempts to measure such timescales have been based on sparsely sampled…

天体物理学 · 物理学 2009-11-11 M. R. S. Hawkins

The first step when investigating time varying data is the detection of any reliable changes in star brightness. This step is crucial to decreasing the processing time by reducing the number of sources processed in later, slower steps.…

天体物理仪器与方法 · 物理学 2016-01-27 C. E. Ferreira Lopes , N. J. G. Cross

Gaussian periods are certain sums of roots of unity whose study dates back to Gauss's seminal work in algebra and number theory. Recently, large scale plots of Gaussian periods have been revealed to exhibit striking visual patterns, some of…

数论 · 数学 2021-02-05 Ellen Eischen , Stephan Ramon Garcia

The application of linear kinetic treatments to plasma waves, damping, and instability requires favorable inequalities between the associated linear timescales and timescales for nonlinear (e.g., turbulence) evolution. In the solar wind…

A time series is a sample of observations of well-defined data points obtained through repeated measurements over a certain time range. The analysis of such data samples has become increasingly important not only in natural science but also…

天体物理仪器与方法 · 物理学 2016-02-18 E. Paunzen , T. Vanmunster

Microvariability consists in small time scale variations of low amplitude in the photometric light curves of quasars, and represents an important tool to investigate their inner core. Detection of quasar microvariations is challenging for…

天体物理仪器与方法 · 物理学 2016-08-08 J. A. de Diego , J. Polednikova , A. Bongiovanni , A. M. Pérez García , M. A. De Leo , T. Verdugo , J. Cepa

Researchers are often interested in examining between-individual differences in within-individual processes. If the process under investigation is tracked for a long time, its trajectory may show a certain degree of nonlinearity, so that…

统计方法学 · 统计学 2025-12-02 Jin Liu , Robert A. Perera

This paper presents a new fuel cycle benchmarking analysis methodology by coupling Gaussian process regression, a popular technique in Machine Learning, to dynamic time warping, a mechanism widely used in speech recognition. Together they…

数据分析、统计与概率 · 物理学 2015-12-01 Anthony Michael Scopatz

Measuring time means counting the occurrence of periodic phenomena. Over the past centuries a major effort was put to make stable and precise oscillators to be used as clock regulators. Here we consider a different class of clocks based on…

量子物理 · 物理学 2022-07-20 Dario Cilluffo

The variability of active galactic nuclei (AGNs) is ubiquitous but has not yet been understood. Measuring the optical variation properties of AGNs, such as variation timescale and amplitude, and then correlating them with their fundamental…

星系天体物理 · 物理学 2024-01-11 Xu-Fan Hu , Zhen-Yi Cai , Jun-Xian Wang

There have recently been several reports of apparently periodic variations in the light curves of quasars, e.g. PG 1302-102 by Graham et al. (2015a). Any quasar showing periodic oscillations in brightness would be a strong candidate to be a…

天体物理仪器与方法 · 物理学 2016-07-27 S. Vaughan , P. Uttley , A. G. Markowitz , D. Huppenkothen , M. J. Middleton , W. N. Alston , J. D. Scargle , W. M. Farr

New time-series analysis tools are needed in disciplines as diverse as astronomy, economics and meteorology. In particular, the increasing rate of data collection at multiple wavelengths requires new approaches able to handle these data.…

天体物理仪器与方法 · 物理学 2021-01-05 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

Investigating the relationship, particularly the lead-lag effect, between time series is a common question across various disciplines, especially when uncovering biological process. However, analyzing time series presents several…

统计方法学 · 统计学 2024-09-27 Wancen Mu , Jiawen Chen , Eric S. Davis , Kathleen Reed , Douglas Phanstiel , Michael I. Love , Didong Li

The target of many astronomical studies is the recovery of tiny astrophysical signals living in a sea of uninteresting (but usually dominant) noise. In many contexts (i.e., stellar time-series, or high-contrast imaging, or stellar…

天体物理仪器与方法 · 物理学 2017-11-01 Rodrigo Luger , Daniel Foreman-Mackey , David W. Hogg

The study of exoplanetary atmospheres epitomises a continuous quest for higher accuracy measurements. Systematic effects and noise associated with both the stellar activity and the instrument can bias the results and thus limit the…

地球与行星天体物理 · 物理学 2014-01-03 C. Danielski , T. Kacprzak , G. Tinetti , P. Jagoda