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Automated sensing instruments on satellites and aircraft have enabled the collection of massive amounts of high-resolution observations of spatial fields over large spatial regions. If these datasets can be efficiently exploited, they can…

统计方法学 · 统计学 2015-12-08 Matthias Katzfuss

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

统计计算 · 统计学 2020-07-01 Marius Appel , Edzer Pebesma

Nonstationary non-Gaussian spatial data are common in many disciplines, including climate science, ecology, epidemiology, and social sciences. Examples include count data on disease incidence and binary satellite data on cloud mask…

统计计算 · 统计学 2020-11-30 Benjamin Seiyon Lee , Jaewoo Park

Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

统计方法学 · 统计学 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

With the proliferation of modern high-resolution measuring instruments mounted on satellites, planes, ground-based vehicles and monitoring stations, a need has arisen for statistical methods suitable for the analysis of large spatial…

统计方法学 · 统计学 2015-11-26 Matthias Katzfuss

Sea surface temperature (SST) is an essential climate variable that can be measured via ground truth, remote sensing, or hybrid model methodologies. Here, we celebrate SST surveillance progress via the application of a few relevant…

大气与海洋物理 · 物理学 2023-06-19 Albert Larson , Ali Shafqat Akanda

Land Surface Temperature (LST) is a key variable for various applications, such as urban climate and ecology studies. Yet, existing satellite-derived LST products provide either high spatial or high temporal resolution, resulting in a…

机器学习 · 计算机科学 2026-05-14 Solomiia Kurchaba , Angela Meyer

Gaussian processes (GPs) are commonplace in spatial statistics. Although many non-stationary models have been developed, there is arguably a lack of flexibility compared to equipping each location with its own parameters. However, the…

机器学习 · 统计学 2018-07-19 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

应用统计 · 统计学 2016-02-25 Stefano Castruccio , Joseph Guinness

Recent technical advances in collecting spatial data have been increasing the demand for methods to analyze large spatial datasets. The statistical analysis for these types of datasets can provide useful knowledge in various fields.…

统计方法学 · 统计学 2021-06-16 Toshihiro Hirano

This paper presents a solution for persistent monitoring of real-world stochastic phenomena, where the underlying covariance structure changes sharply across time, using a small number of mobile robot sensors. We propose an adaptive…

机器人学 · 计算机科学 2018-04-30 Sahil Garg , Nora Ayanian

Large spatiotemporal datasets are a challenge for conventional Bayesian models because of the cubic computational complexity of the algorithms for obtaining the Cholesky decomposition of the covariance matrix in the multivariate normal…

统计计算 · 统计学 2021-04-19 Luc Villandré , Jean-François Plante , Thierry Duchesne , Patrick Brown

Heat waves resulting from prolonged extreme temperatures pose a significant risk to human health globally. Given the limitations of observations of extreme temperature, climate models are often used to characterize extreme temperature…

统计方法学 · 统计学 2020-05-08 Mark Risser

Modeling the joint distribution of extreme weather events in multiple locations is a challenging task with important applications. In this study, we use max-stable models to study extreme daily precipitation events in Switzerland. The…

统计方法学 · 统计学 2018-11-29 Clément Chevalier , David Ginsbourger , Olivia Martius

Nonstationary Gaussian process models can capture complex spatially varying dependence structures in spatial datasets. However, the large number of observations in modern datasets makes fitting such models computationally intractable with…

统计计算 · 统计学 2022-06-13 Paul G. Beckman , Christopher J. Geoga , Michael L. Stein , Mihai Anitescu

Nonstationarity is a major challenge in analyzing spatial data. For example, daily precipitation measurements may have increased variability and decreased spatial smoothness in areas with high mean rainfall. Common nonstationary covariance…

统计方法学 · 统计学 2019-05-31 Geoffrey Colin Lee Peterson , Joseph Guinness , Adam Terando , Brian J. Reich

Argo floats measure seawater temperature and salinity in the upper 2,000 m of the global ocean. Statistical analysis of the resulting spatio-temporal dataset is challenging due to its nonstationary structure and large size. We propose…

应用统计 · 统计学 2018-12-31 Mikael Kuusela , Michael L. Stein

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

统计计算 · 统计学 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

统计方法学 · 统计学 2022-05-02 Emily C. Hector , Brian J. Reich

Nonstationary and non-Gaussian spatial data are common in various fields, including ecology (e.g., counts of animal species), epidemiology (e.g., disease incidence counts in susceptible regions), and environmental science (e.g.,…

统计方法学 · 统计学 2024-04-01 Remy MacDonald , Benjamin Seiyon Lee
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