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We report on a numerical evaluation of the statistical bootstrap as a technique for radio-interferometric imaging fidelity assessment. The development of a fidelity assessment technique is an important scientific prerequisite for automated…

天体物理学 · 物理学 2009-11-10 Athol Kemball , Adam Martinsek

We propose a method to overcome the usual limitation of current data processing techniques in optical and infrared long-baseline interferometry: most reduction pipelines assume uncorrelated statistical errors and ignore systematics. We use…

天体物理仪器与方法 · 物理学 2019-01-23 Régis Lachaume , Markus Rabus , Andrés Jordán , Rafael Brahm , Tabetha Boyajian , Kaspar von Braun , Jean-Philippe Berger

The bootstrap is a widely used procedure for statistical inference because of its simplicity and attractive statistical properties. However, the vanilla version of bootstrap is no longer feasible computationally for many modern massive…

统计方法学 · 统计学 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang

The ISO 5725 series frames interlaboratory precision through repeatability, between-laboratory, and reproducibility variances, yet practical guidance on deploying bootstrap methods within this one-way random-effects setting remains limited.…

应用统计 · 统计学 2026-02-10 Jun-ichi Takeshita , Kazuhiro Morita , Tomomichi Suzuki

The advent of next-generation radio interferometers like the Square Kilometer Array promises to revolutionise our radio astronomy observational capabilities. The unprecedented volume of data these devices generate requires fast and accurate…

天体物理仪器与方法 · 物理学 2024-12-03 Mostafa Cherif , Tobías I. Liaudat , Jonathan Kern , Christophe Kervazo , Jérôme Bobin

Although there is an extensive literature on the eigenvalues of high-dimensional sample covariance matrices, much of it is specialized to independent components (IC) models -- in which observations are represented as linear transformations…

统计理论 · 数学 2023-05-05 Siyao Wang , Miles E. Lopes

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

统计方法学 · 统计学 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

In frequency domain analysis for spatial data, spectral averages based on the periodogram often play an important role in understanding spatial covariance structure, but also have complicated sampling distributions due to complex variances…

统计理论 · 数学 2025-04-29 Souvick Bera , Daniel J. Nordman , Soutir Bandyopadhyay

Estimating nonlinear functionals of probability distributions from samples is a fundamental statistical problem. The "plug-in" estimator obtained by applying the target functional to the empirical distribution of samples is biased.…

统计理论 · 数学 2026-02-20 Florian Schäfer

This paper investigates the possibility of improving radio interferometric images using an algorithm inspired by an optical method known as "lucky imaging", which would give more weight to the best-calibrated visibilities used to make a…

天体物理仪器与方法 · 物理学 2018-07-18 Etienne Bonnassieux , Cyril Tasse , Oleg Smirnov , Philippe Zarka

Spectral analysis plays a crucial role in high-dimensional statistics, where determining the asymptotic distribution of various spectral statistics remains a challenging task. Due to the difficulties of deriving the analytic form, recent…

统计理论 · 数学 2025-04-02 Guoyu Zhang , Dandan Jiang , Fang Yao

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

统计方法学 · 统计学 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

High fidelity radio interferometric data calibration that minimises spurious spectral structure in the calibrated data is essential in astrophysical applications, such as 21 cm cosmology, which rely on knowledge of the relative spectral…

天体物理仪器与方法 · 物理学 2022-10-26 Peter H. Sims , Jonathan C. Pober , Jonathan L. Sievers

Calibration is a key step in the signal processing pipeline of any radio astronomical instrument. The required sky, ionospheric and instrumental models for this step can suffer from various kinds of incompleteness. In this paper we analyze…

天体物理仪器与方法 · 物理学 2019-02-08 A. Mouri Sardarabadi , L. V. E. Koopmans

In this paper, we investigate the impact of survey strategy on the performance of self-calibration when the goal is to produce accurate photometric catalogs from wide-field imaging surveys. This self-calibration technique utilizes multiple…

天体物理仪器与方法 · 物理学 2015-06-04 Rory Holmes , David W. Hogg , Hans-Walter Rix

Bootstrapping is often applied to get confidence limits for semiparametric inference of a target parameter in the presence of nuisance parameters. Bootstrapping with replacement can be computationally expensive and problematic when…

The bootstrap is a popular data-driven method to quantify statistical uncertainty, but for modern high-dimensional problems, it could suffer from huge computational costs due to the need to repeatedly generate resamples and refit models. We…

统计方法学 · 统计学 2023-06-21 Henry Lam , Zhenyuan Liu

Scientific imaging problems are often severely ill-posed, and hence have significant intrinsic uncertainty. Accurately quantifying the uncertainty in the solutions to such problems is therefore critical for the rigorous interpretation of…

图像与视频处理 · 电气工程与系统科学 2024-10-22 Julian Tachella , Marcelo Pereyra

Large field-of-view fisheye lens cameras have attracted more and more researchers' attention in the field of robotics. However, there does not exist a convenient off-the-shelf stereo rectification approach which can be applied directly to…

计算机视觉与模式识别 · 计算机科学 2017-07-13 Dingfu Zhou , Yuchao Dai , Hongdong Li

This paper investigates the accuracy of bootstrap-based bias correction of persistence measures for long memory fractionally integrated processes. The bootstrap method is based on the semi-parametric sieve approach, with the dynamics in the…

统计方法学 · 统计学 2016-03-08 Simone D. Grose , Gael M. Martin , Donald S. Poskitt
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