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Accurate modeling of daily rainfall, encompassing both dry and wet days as well as extreme precipitation events, is critical for robust hydrological and climatological analyses. This study proposes a zero-inflated extended generalized…

Applications · Statistics 2025-10-01 Aamar Abbas , Touqeer Ahmad , Ishfaq Ahmad

We propose an adaptive ridge (AR) estimation scheme for a heteroscedastic linear regression model with log-linear noise in data. We simultaneously estimate the mean and variance parameters, demonstrating new asymptotic distributional and…

Statistics Theory · Mathematics 2025-09-29 Ka Long Keith Ho , Hiroki Masuda

Skillful medium-range precipitation forecasting at kilometer scale remains challenging over complex terrain because precipitation arises from multiscale nonlinear processes that global models cannot explicitly resolve at affordable cost.…

Connected vehicles are poised to transform the field of environmental sensing by enabling acquisition of scientific data at unprecedented scales. Drawing on a real-world dataset collected from almost 70 connected vehicles, this study…

Signal Processing · Electrical Eng. & Systems 2018-06-29 Matthew Bartos , Hyongju Park , Tian Zhou , Branko Kerkez , Ramanarayan Vasudevan

Recently, deep-learning weather forecasting models have surpassed traditional numerical models in terms of the accuracy of meteorological variables. However, there is considerable potential for improvements in precipitation forecasts,…

Atmospheric and Oceanic Physics · Physics 2024-11-20 Weiwen Ji , Jin Feng , Yueqi Liu , Yulu Qiu , Hua Gao

In this paper a new estimator for the transition density $\pi$ of an homogeneous Markov chain is considered. We introduce an original contrast derived from regression framework and we use a model selection method to estimate $\pi$ under…

Statistics Theory · Mathematics 2015-06-26 Claire Lacour

In this study, the statistical downscaling model (SDSM) is employed for downscaling the precipitation (PREC), maximum temperature (T max ) and minimum temperature (T min ) over Krishna River Basin (KRB). The Canadian Earth System Model,…

Atmospheric and Oceanic Physics · Physics 2024-03-27 Nandikanti Siva Sai Syam , Akshay Sunil , Subbarao Pichuka , Anirban Mandal

Drought poses a pervasive environmental challenge in Bangladesh, impacting agriculture, socio-economic stability, and food security due to its unique geographic and anthropogenic vulnerabilities. Traditional drought indices, such as the…

Machine Learning · Computer Science 2025-06-06 Tonmoy Paul , Mrittika Devi Mati , Md. Mahmudul Islam

Predicting precipitation maps is a highly complex spatiotemporal modeling task, critical for mitigating the impacts of extreme weather events. Short-term precipitation forecasting, or nowcasting, requires models that are not only accurate…

These days human beings are facing many environmental challenges due to frequently occurring drought hazards. It may have an effect on the countrys environment, the community, and industries. Several adverse impacts of drought hazard are…

Phase-averaging is a fundamental approach for investigating periodic and non-stationary phenomena. In fluid dynamics, these can be generated by rotating blades such as propellers/turbines or by pulsed jets. Traditional phase-averaging…

Fluid Dynamics · Physics 2025-02-20 Enrico Amico , Sara Montagner , Jacopo Serpieri , Gioacchino Cafiero

We consider the statistical inverse problem of estimating a background flow field (e.g., of air or water) from the partial and noisy observation of a passive scalar (e.g., the concentration of a solute), a common experimental approach to…

Numerical Analysis · Mathematics 2019-06-12 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

Auto-regressive frameworks for next-scale prediction of 2D images have demonstrated strong potential for producing diverse and sophisticated content by progressively refining a coarse input. However, extending this paradigm to 3D object…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Quanyuan Ruan , Kewei Shi , Jiabao Lei , Xifeng Gao , Xiaoguang Han

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

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

Data Analysis, Statistics and Probability · Physics 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

We propose a representation of the Indian summer monsoon rainfall in terms of a probabilistic model based on a Markov Random Field, consisting of discrete state variables representing low and high rainfall at grid-scale and daily rainfall…

Applications · Statistics 2021-01-26 Adway Mitra , Amit Apte , Rama Govindarajan , Vishal Vasan , Sreekar Vadlamani

Precipitation forecasting relies on heterogeneous data. Weather radar is accurate, but coverage is geographically limited and costly to maintain. Weather stations provide accurate but sparse point measurements, while satellites offer dense,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Doyi Kim , Minseok Seo , Changick Kim

The recently proposed non-Gaussian Mat\'{e}rn random field models, generated through Stochastic Partial differential equations (SPDEs), are extended by considering the class of Generalized Hyperbolic processes as noise forcings. The models…

Applications · Statistics 2013-07-25 David Bolin , Jonas Wallin

A precise forecast for droughts is of considerable value to scientific research, agriculture, and water resource management. With emerging developments of data-driven approaches for hydro-climate modeling, this paper investigates an…

Machine Learning · Computer Science 2022-08-25 Shiheng Duan , Xiurui Zhang

In this work, we consider the class of multi-state autoregressive processes that can be used to model non-stationary time-series of interest. In order to capture different autoregressive (AR) states underlying an observed time series, it is…

Machine Learning · Statistics 2015-10-13 Jie Ding , Mohammad Noshad , Vahid Tarokh
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