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To ensure the safety of railroad operations, it is important to monitor and forecast track geometry irregularities. A higher safety requires forecasting with higher spatiotemporal frequencies, which in turn requires capturing spatial…

机器学习 · 计算机科学 2023-02-24 Katsuya Kosukegawa , Yasukuni Mori , Hiroki Suyari , Kazuhiko Kawamoto

Measuring the (causal) direction and strength of dependence between two variables (events), Xi and Xj , is fundamental for all science. Our survey of decades-long literature on statistical dependence reveals that most assume symmetry in the…

统计方法学 · 统计学 2022-12-01 Hrishikesh Vinod

How to analyse Terabytes of photometric data, and extract knowledge on variable stars? How to detect variable phenomena? How to combine different photometric bands? Which algorithm to search for periods? How to characterize and classify the…

天体物理学 · 物理学 2007-05-23 Laurent Eyer

Motivated by statistical inference problems in high-dimensional time series data analysis, we first derive non-asymptotic error bounds for Gaussian approximations of sums of high-dimensional dependent random vectors on hyper-rectangles,…

统计理论 · 数学 2024-06-05 Jinyuan Chang , Xiaohui Chen , Mingcong Wu

Asteroseismology, i.e. the study of the internal structures of stars via their global oscillations, is a valuable tool to obtain stellar parameters such as mass, radius, surface gravity and mean density. These parameters can be obtained…

太阳与恒星天体物理 · 物理学 2015-06-16 S. Hekker , Y. Elsworth , S. Basu , A. Mazumdar , V. Silva Aguirre , W. J. Chaplin

Measurements made by satellite remote sensing, Moderate Resolution Imaging Spectroradiometer (MODIS), and globally distributed Aerosol Robotic Network (AERONET) are compared. Comparison of the two datasets measurements for aerosol optical…

机器学习 · 统计学 2015-06-15 N. K. Malakar , D. J. Lary , D. Gencaga , A. Albayrak , J. Wei

Estimating errors is a crucial part of any scientific analysis. Whenever a parameter is estimated (model-based or not), an error estimate is necessary. Any parameter estimate that is given without an error estimate is meaningless.…

天体物理仪器与方法 · 物理学 2010-11-01 Rene Andrae

A comprehensive statistical model is developed for vertical profiles of the horizontal wind and temperature throughout the troposphere based on several-years radiosonde measurements of strong winds. The profiles measured under quite…

大气与海洋物理 · 物理学 2007-05-29 A. Virtser , I. Kupershmidt , Yu. M. Shtemler

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtain robust estimates. The weight, attached to each score contribution, is evaluated by comparing the statistical data depth at the model…

统计方法学 · 统计学 2018-02-16 Claudio Agostinelli

Stratospheric aerosols play an important role in the earth system and can affect the climate on timescales of months to years. However, estimating the characteristics of partially observed aerosol injections, such as those from volcanic…

机器学习 · 计算机科学 2024-09-12 J. Hart , I. Manickam , M. Gulian , L. Swiler , D. Bull , T. Ehrmann , H. Brown , B. Wagman , J. Watkins

High-dimensional data arise routinely in modern statistics, econometrics, finance, genomics, and machine learning. While a large body of existing methodology is developed under Gaussian or light-tailed assumptions, many real data sets…

统计方法学 · 统计学 2026-04-16 Long Feng

The predictions of mean-field electrodynamics can now be probed using direct numerical simulations of random flows and magnetic fields. When modelling astrophysical MHD, it is important to verify that such simulations are in agreement with…

数据分析、统计与概率 · 物理学 2018-09-12 Irina Makarenko , Paul Bushby , Andrew Fletcher , Robin Henderson , Nikolay Makarenko , Anvar Shukurov

This paper introduces a statistical treatment of inverse problems constrained by models with stochastic terms. The solution of the forward problem is given by a distribution represented numerically by an ensemble of simulations. The goal is…

最优化与控制 · 数学 2019-04-17 Emil M. Constantinescu , Noemi Petra , Julie Bessac , Cosmin G. Petra

This article provides an overview on the statistical modeling of complex data as increasingly encountered in modern data analysis. It is argued that such data can often be described as elements of a metric space that satisfies certain…

统计方法学 · 统计学 2024-02-28 Paromita Dubey , Yaqing Chen , Hans-Georg Müller

Astronomical data generally consists of 2 or more high-resolution axes, e.g., X,Y position on the sky or wavelength and position-along-one-axis (long-slit spectrometer). Analyzing these multi-dimension observations requires combining 3D…

天体物理仪器与方法 · 物理学 2009-02-11 Daniel Dewey , Michael S. Noble

In this work, we develop a novel principal component analysis (PCA) for semimartingales by introducing a suitable spectral analysis for the quadratic variation operator. Motivated by high-dimensional complex systems typically found in…

统计理论 · 数学 2016-03-10 Alberto Ohashi , Alexandre B Simas

Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic. We suggest an alternative…

统计理论 · 数学 2015-05-28 Olimjon Sh. Sharipov , Johannes Tewes , Martin Wendler

The Meteorology is a field where huge amounts of data are generated, mainly collected by sensors at weather stations, where different variables can be measured. Those data have some particularities such as high volume and dimensionality,…

机器学习 · 计算机科学 2025-10-27 Shadi Aljawarneh , Juan A. Lara , Muneer Bani Yassein

Extensive time-series encoding the position of particles such as viruses, vesicles, or individual proteins are routinely garnered in single-particle tracking experiments or supercomputing studies. They contain vital clues on how viruses…

In this paper we propose an autoregressive wild bootstrap method to construct confidence bands around a smooth deterministic trend. The bootstrap method is easy to implement and does not require any adjustments in the presence of missing…

统计方法学 · 统计学 2019-12-12 Marina Friedrich , Stephan Smeekes , Jean-Pierre Urbain