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We consider the problem of estimating parameters of stochastic differential equations (SDEs) with discrete-time observations that are either completely or partially observed. The transition density between two observations is generally…

Methodology · Statistics 2015-09-09 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

High-resolution rainfall estimates from satellite and reanalysis sources (SRE) could play a major role in improving climate services for agriculture. This is particularly relevant in regions that rely on rain-fed farming but lack a dense…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Danny Parsons , David Stern , Denis Ndanguza , Mouhamadou Bamba Sylla , James Musyoka , John Bagiliko , Graham Clarkson , Peter Dorward

The classification of weather data involves categorizing meteorological phenomena into classes, thereby facilitating nuanced analyses and precise predictions for various sectors such as agriculture, aviation, and disaster management. This…

Machine Learning · Computer Science 2023-10-23 Elaheh Jafarigol , Theodore Trafalis

We develop a data-driven methodology based on parametric It\^{o}'s Stochastic Differential Equations (SDEs) to capture the real asymmetric dynamics of forecast errors. Our SDE framework features time-derivative tracking of the forecast,…

Methodology · Statistics 2021-02-11 Renzo Caballero , Ahmed Kebaier , Marco Scavino , Raúl Tempone

Many modern products exhibit high reliability, often resulting in long times to failure. Consequently, conducting experiments under normal operating conditions may require an impractically long duration to obtain sufficient failure data for…

Methodology · Statistics 2025-06-06 María Jaenada , Juan Manuel Millán , Leandro Pardo

Satellite-derived data products and climate model simulations of geophysical variables like precipitation, often exhibit systematic biases compared to in-situ measurements. Bias correction and spatial downscaling are fundamental components…

Machine Learning · Computer Science 2026-02-16 Sumanta Chandra Mishra Sharma , Adway Mitra , Auroop Ratan Ganguly

Despite the importance of quantifying how the spatial patterns of extreme precipitation will change with warming, we lack tools to objectively analyze the storm-scale outputs of modern climate models. To address this gap, we develop an…

Atmospheric and Oceanic Physics · Physics 2023-12-04 Griffin Mooers , Tom Beucler , Mike Pritchard , Stephan Mandt

Numerical Weather Prediction (NWP) has advanced significantly in recent decades but still faces challenges in accuracy, computational efficiency, and scalability. Data-driven weather models have shown great promise, sometimes surpassing…

Atmospheric and Oceanic Physics · Physics 2025-03-18 Animesh Choudhury , Jagabandhu Panda

Density-based minimum divergence procedures represent popular techniques in parametric statistical inference. They combine strong robustness properties with high (sometimes full) asymptotic efficiency. Among density-based minimum distance…

Methodology · Statistics 2020-12-23 Pushpinder Singh , Abhijit Mandal , Ayanendranath Basu

We analyse the probability densities of daily rainfall amounts at a variety of locations on the Earth. The observed distributions of the amount of rainfall fit well to a q-exponential distribution with exponent q close to q=1.3. We discuss…

Statistical Mechanics · Physics 2016-03-10 G. Cigdem Yalcin , Pau Rabassa , Christian Beck

In this diagnostic study we analyze changes of rainfall seasonality and dry spells by the end of the twenty-first century under the most extreme IPCC5 emission scenario (RCP8.5) as projected by twenty-four coupled climate models…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Salvatore Pascale , Valerio Lucarini , Xue Feng , Amilcare Porporato , Shabeh ul Hasson

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

Applications · Statistics 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

Methodology · Statistics 2026-02-11 Max Welz

Time series forecasting is a critical task across domains such as energy, finance, and meteorology, where accurate predictions enable informed decision-making. While transformer-based and large-parameter models have recently achieved…

Machine Learning · Computer Science 2026-02-11 Julien Guité-Vinet , Alexandre Blondin Massé , Éric Beaudry

Climate change and increases in drought conditions affect the lives of many and are closely tied to global agricultural output and livestock production. This research presents a novel approach utilizing machine learning frameworks for…

Image and Video Processing · Electrical Eng. & Systems 2023-06-02 Veronica Wairimu Muriga , Benjamin Rich , Francesco Mauro , Alessandro Sebastianelli , Silvia Liberata Ullo

This paper explores Maximum Likelihood in parametric models in the context of Sanov type Large Deviation Probabilities. MLE in parametric models under weighted sampling is shown to be associated with the minimization of a specific…

Methodology · Statistics 2012-07-30 Michel Broniatowski , Zhansheng Cao

Accurate prediction of atmospheric optical turbulence in localized environments is essential for estimating the performance of free-space optical systems. Macro-meteorological models developed to predict turbulent effects in one environment…

Atmospheric and Oceanic Physics · Physics 2023-10-30 Christopher Jellen , Charles Nelson , John Burkhardt , Cody Brownell

Numerical Weather Prediction (NWP), is widely used in precipitation forecasting, based on complex equations of atmospheric motion requires supercomputers to infer the state of the atmosphere. Due to the complexity of the task and the huge…

Signal Processing · Electrical Eng. & Systems 2020-01-10 Xinyu Xiao , Qiuming Kuang , Shiming Xiang , Junnan Hu , Chunhong Pan

In this work, we propose a simulation-based estimation approach using generative neural networks to determine dependencies of precipitation maxima and their underlying uncertainty in time and space. Within the common framework of max-stable…

Machine Learning · Statistics 2026-05-01 Christopher Bülte , Lisa Leimenstoll , Melanie Schienle

This study develops and evaluates a novel hybridWavelet SARIMA Transformer, WST framework to forecast using monthly rainfall across five meteorological subdivisions of Northeast India over the 1971 to 2023 period. The approach employs the…

Applications · Statistics 2025-09-16 Junmoni Saikia , Kuldeep Goswami , Sarat C. Kakaty
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