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Rainfall is a climatic factor that affects many human activities like agriculture, construction, and forestry. Rainfall is dependent on various meteorological features and its prediction is a very complex task due to the dynamic climatic…

Atmospheric and Oceanic Physics · Physics 2021-10-22 Muhammad Salman Pathan , Jiantao Wu , Yee Hui Lee , Jianzhuo Yan , Soumyabrata Dev

The uncertainty in distribution grid planning is driven by the unpredictable spatial and temporal patterns in adopting electric vehicles (EVs) and solar photovoltaic (PV) systems. This complexity, stemming from interactions among EVs, PV…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Shiva Poudel , Poorva Sharma , Abhineet Parchure , Daniel Olsen , Sayantan Bhowmik , Tonya Martin , Dylan Locsin , Andrew P. Reiman

Flood quantile estimation is of great importance for many engineering studies and policy decisions. However, practitioners must often deal with small data available. Thus, the information must be used optimally. In the last decades, to…

Applications · Statistics 2009-11-13 Mathieu Ribatet , Taha B. M. J. Ouarda , Eric Sauquet , Jean-Michel Grésillon

We consider a hidden Markov model with multiple observation processes, one of which is chosen at each point in time by a policy---a deterministic function of the information state---and attempt to determine which policy minimises the…

Probability · Mathematics 2015-03-17 James Y. Zhao

Extreme weather events stemming from climate change can cause significant damage and disruption to power systems. Failure to mitigate and adapt to climate change and its cascading effects can lead to short and long term issues. The profound…

Applied Physics · Physics 2022-09-22 Rouzbeh Shirvani , Tarannom Parhizkar

Exploring and modeling rain generation mechanism is critical for augmenting paired data to ease training of rainy image processing models. Against this task, this study proposes a novel deep learning based rain generator, which fully takes…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Zhiqiang Pang , Hong Wang , Qi Xie , Deyu Meng , Zongben Xu

Flood extent mapping plays a crucial role in disaster management and national water forecasting. Unfortunately, traditional classification methods are often hampered by the existence of noise, obstacles and heterogeneity in spectral…

Machine Learning · Computer Science 2018-05-25 Miao Xie , Zhe Jiang , Arpan Man Sainju

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

Applications · Statistics 2023-12-25 Francesco Lagona , Marco Mingione

In highly renewable power systems the increased weather dependence can result in new resilience challenges, such as renewable energy droughts, or a lack of sufficient renewable generation at times of high demand. The weather conditions…

Physics and Society · Physics 2024-06-21 Aleksander Grochowicz , Koen van Greevenbroek , Hannah C. Bloomfield

In order to accurately describe real systems with seasonal disturbances, which normally appear monthly or quarterly cycles, a novel discrete grey seasonal model, abbreviated as , is put forward by incorporating the seasonal dummy variables…

Applications · Statistics 2020-03-26 Weijie Zhou , Jiao Pan , Song Ding , Xiaoli Wu

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

Wind power generation exhibits a strong temporal variability, which is crucial for system integration in highly renewable power systems. Different methods exist to simulate wind power generation but they often cannot represent the crucial…

Data Analysis, Statistics and Probability · Physics 2018-04-04 Juliane Weber , Christopher Zachow , Dirk Witthaut

Precipitation is a large-scale, spatio-temporally heterogeneous phenomenon, with frequent anomalies exhibiting unusually high or low values. We use Markov Random Fields (MRFs) to detect spatio-temporally coherent anomalies in gridded annual…

Applications · Statistics 2017-11-01 Adway Mitra , Ashwin K. Seshadri

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…

Applications · Statistics 2014-11-19 Yang Liu , Philip Kokic

Since many environmental processes such as heat waves or precipitation are spatial in extent, it is likely that a single extreme event affects several locations and the areal modeling of extremes is therefore essential if the spatial…

Methodology · Statistics 2012-08-28 Clément Dombry , Frédéric Éyi-Minko , Mathieu Ribatet

In the first part of our study, we demonstrated how a simple physical benchmark model can be used to assess assumptions of the conceptual models, based on a lumped Probability Distributed Model (PDM) formulated by Lamb (1999). In this…

Fluid Dynamics · Physics 2023-12-05 Piotr Morawiecki , Philippe H. Trinh

We consider the problem of short- and medium-term electricity load forecasting by using past loads and daily weather forecast information. Conventionally, many researchers have directly applied regression analysis. However, interpreting the…

Methodology · Statistics 2020-07-03 Kei Hirose

Global warming is projected to intensify the hydrological cycle, amplifying risks to ecosystems and society. While extreme rainfall appears to exhibit stronger sensitivity to global warming compared to mean rainfall rates, a unifying…

Atmospheric and Oceanic Physics · Physics 2026-01-13 Jun Yin , Bei Gao , Amilcare Porporato

For over a century, raindrop size distributions have been a subject of extensive scientific study, typically described by models including the Marshall-Palmer exponential equation, gamma, Weibull, lognormal, and other mathematical…

Fluid Dynamics · Physics 2023-09-06 Maksim Mezhericher , Howard A. Stone

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic…

Statistics Theory · Mathematics 2008-03-27 Cécile Hardouin , Jian-Feng Yao