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Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

统计方法学 · 统计学 2019-10-02 Behnaz Pirzamanbein

Modeling a precipitation field is challenging due to its intermittent and highly scale-dependent nature. Motivated by the features of high-frequency precipitation data from a network of rain gauges, we propose a threshold space-time $t$…

应用统计 · 统计学 2016-02-10 Ying Sun , Michael L. Stein

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

应用统计 · 统计学 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Spatial maps of extreme precipitation are crucial in flood protection. With the aim of producing maps of precipitation return levels, we propose a novel approach to model a collection of spatially distributed time series where the…

统计方法学 · 统计学 2023-04-27 Federica Stolf , Antonio Canale

For hydrological applications, such as urban flood modelling, it is often important to be able to simulate sub-daily rainfall time series from stochastic models. However, modelling rainfall at this resolution poses several challenges,…

应用统计 · 统计学 2020-07-14 Oliver Stoner , Theo Economou

This work introduces a novel approach for generating conditional probabilistic rainfall forecasts with temporal and spatial dependence. A two-step procedure is employed. Firstly, marginal location-specific distributions are jointly…

统计方法学 · 统计学 2025-03-31 David Huk , Rilwan A. Adewoyin , Ritabrata Dutta

Forecasts of monsoon rainfall for India are made at national scale. But there is spatial coherence and heterogeneity that is relevant to forecasting. This paper considers year-to-year rainfall change and annual extremes at sub-national…

应用统计 · 统计学 2016-10-27 Adway Mitra , Ashwin K. Seshadri

Various natural phenomena exhibit spatial extremal dependence at short spatial distances. However, existing models proposed in the spatial extremes literature often assume that extremal dependence persists across the entire domain. This is…

统计方法学 · 统计学 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

统计方法学 · 统计学 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

We present a stochastic mean-reverting jump-diffusion model to simulate rainfall time series and validate it using long-term half-hourly rain fall data from the North-East region of India. The model captures the intermittent and…

统计力学 · 物理学 2026-04-10 Joya GhoshDastider , D. Pal , Pankaj Kumar Mishra

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

统计方法学 · 统计学 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

统计方法学 · 统计学 2025-01-28 Danielle Cabel , Shonosuke Sugasawa , Masahiro Kato , Kosaku Takanashi , Kenichiro McAlinn

Obtaining high-resolution maps of precipitation data can provide key insights to stakeholders to assess a sustainable access to water resources at urban scale. Mapping a nonstationary, sparse process such as precipitation at very high…

应用统计 · 统计学 2023-02-08 Jiachen Zhang , Matthew Bonas , Diogo Bolster , Geir-Arne Fuglstad , Stefano Castruccio

This study investigates how conditional normalizing flows can be applied to remote sensing data products in climate science for spatio-temporal prediction. The method is chosen due to its desired properties such as exact likelihood…

机器学习 · 计算机科学 2024-06-03 Christina Winkler , David Rolnick

For a Bayesian, real-time forecasting with the posterior predictive distribution can be challenging for a variety of time series models. First, estimating the parameters of a time series model can be difficult with sample-based approaches…

应用统计 · 统计学 2022-08-08 Taylor R. Brown

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

统计方法学 · 统计学 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

We consider statistics of spatial averages estimated by weighting observations over an arbitrary spatial domain using identical and independent measuring devices, and derive an account of bias and variance in the presence of missing…

统计方法学 · 统计学 2025-03-17 Ashwin K Seshadri

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

统计计算 · 统计学 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

统计计算 · 统计学 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta