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In this paper we present a detailed statistical analysis related to the characterization of the spatial and temporal fluctuations present in the rainfall patterns of North-East region ($26.05^{\circ}N-26.95^{\circ}N$,…

Atmospheric and Oceanic Physics · Physics 2025-10-20 Joya GhoshDastider , D. Pal , Pankaj K. Mishra

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

Extreme rainfall over the Indian monsoon region poses severe societal and infrastructural risks but remains difficult to predict at daily time scales due to stochastic convective triggering and multiscale atmospheric interactions. While…

Numerical Analysis · Mathematics 2026-02-04 Arun Govind Neelan

Climate models robustly imply that some significant change in precipitation patterns will occur. Models consistently project that the intensity of individual precipitation events increases by approximately 6-7%/K, following the increase in…

Applications · Statistics 2016-12-21 Won Chang , Michael L. Stein , Jiali Wang , V. Rao Kotamarthi , Elisabeth J. Moyer

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

Precipitation nowcasting, which aims to provide high spatio-temporal resolution precipitation forecasts by leveraging current radar observations, is a core task in regional weather forecasting. Recently, the cascaded architecture has…

Machine Learning · Computer Science 2026-02-24 Fanbo Ju , Haiyuan Shi , Qingjian Ni

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…

Methodology · Statistics 2023-04-27 Federica Stolf , Antonio Canale

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

A new stochastic model for daily precipitation occurrence processes observed at multiple locations is developed. The modeling concept is to use the indicator function and the elliptical shape of multivariate Gaussian distribution to…

Applications · Statistics 2020-09-02 Hsien-Wei Chen

Identifying the instances of jumps in a discrete-time-series sample of a jump diffusion model is a challenging task. We have developed a novel statistical technique for jump detection and volatility estimation in a return time series data…

Statistical Finance · Quantitative Finance 2022-03-22 Milan Kumar Das , Anindya Goswami , Sharan Rajani

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Event attribution in the context of climate change seeks to understand the role of anthropogenic greenhouse gas emissions on extreme weather events, either specific events or classes of events. A common approach to event attribution uses…

Methodology · Statistics 2018-02-06 Christopher J. Paciorek , Dáithí A. Stone , Michael F. Wehner

Dynamical downscaling with high-resolution regional climate models may offer the possibility of realistically reproducing precipitation and weather events in climate simulations. As resolutions fall to order kilometers, the use of explicit…

Applications · Statistics 2018-08-01 Won Chang , Jiali Wang , Julian Marohnic , Rao Kotamarthi , Elisabeth J. Moyer

Precipitation nowcasting is crucial across various industries and plays a significant role in mitigating and adapting to climate change. We introduce an efficient deep learning model for precipitation nowcasting, capable of predicting…

Accurate rainfall forecasting is crucial for effective disaster preparedness and mitigation in the North-East region of India, which is prone to extreme weather events such as floods and landslides. In this study, we investigated the use of…

Machine Learning · Computer Science 2023-09-19 Paleti Nikhil Chowdary , Sathvika P , Pranav U , Rohan S , Sowmya V , Gopalakrishnan E A , Dhanya M

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

The purpose of this paper is to illustrate new techniques for computing multiday extreme precipitation taken from recent theoretical advancements in extreme value theory in the framework of dynamical systems, using historical precipitation…

Dynamical Systems · Mathematics 2024-03-18 Ruethaichanok Kardkasem , Meagan Carney

The aim of this paper is to examine the time scaling of the semivariance when returns are modeled by various types of jump-diffusion processes, including stochastic volatility models with jumps in returns and in volatility. In particular,…

Statistical Finance · Quantitative Finance 2013-11-06 Rodrigue Oeuvray , Pascal Junod

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

Consider a system performing a continuous-time random walk on the integers, subject to catastrophes occurring at constant rate, and followed by exponentially-distributed repair times. After any repair the system starts anew from state zero.…