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In this article, we introduce and study a one sided tempered stable first order autoregressive model called TAR(1). Under the assumption of stationarity of the model, the marginal probability density function of the error term is found. It…

Statistics Theory · Mathematics 2021-07-30 Niharika Bhootna , Arun Kumar

The Unit-Lindley is a one-parameter family of distributions in $(0,1)$ obtained from an appropriate transformation of the Lindley distribution. In this work, we introduce a class of dynamical time series models for continuous random…

Statistics Theory · Mathematics 2025-04-11 Guilherme Pumi , Danilo Hiroshi Matsuoka , Taiane Schaedler Prass

We introduce a novel Earth-like planet surface temperature model (ESTM) for habitability studies based on the spatial-temporal distribution of planetary surface temperatures. The ESTM adopts a surface Energy Balance Model complemented by:…

Earth and Planetary Astrophysics · Physics 2015-06-24 G. Vladilo , L. Silva , G. Murante , L. Filippi , A. Provenzale

Given the temporal GPS coordinates from a large set of human agents, how can we model their mobility behavior toward effective anomaly (e.g. bad-actor or malicious behavior) detection without any labeled data? Human mobility and trajectory…

Artificial Intelligence · Computer Science 2025-05-07 Haomin Wen , Shurui Cao , Zeeshan Rasheed , Khurram Hassan Shafique , Leman Akoglu

Max-autogressive moving average (Max-ARMA) processes are powerful tools for modelling time series data with heavy-tailed behaviour; these are a non-linear version of the popular autoregressive moving average models. River flow data…

Methodology · Statistics 2024-03-26 Eleanor D'Arcy , Jonathan A Tawn

We performed a number of statistical analysis methods on the historical data for the air temperature at 2 m above the ground and its range, as reported by the database of NASA known as POWER, which stands for Prediction Of Worldwide Energy…

Atmospheric and Oceanic Physics · Physics 2022-10-31 Osama A. Marzouk

Observations indicate that the Arctic sea ice cover is rapidly retreating while the Antarctic sea ice cover is steadily expanding. State-of-the-art climate models, by contrast, typically simulate a moderate decrease in both the Arctic and…

Atmospheric and Oceanic Physics · Physics 2017-10-11 Erica Rosenblum , Ian Eisenman

We propose a Weighted Autoregressive Varying gatE (WAVE) attention mechanism equipped with both Autoregressive (AR) and Moving-average (MA) components. It can adapt to various attention mechanisms, enhancing and decoupling their ability to…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Xu Han , Yan Sun , Shihao Yang

Given uncertainties in physical theory and numerical climate simulations, the historical temperature record is often used as a source of empirical information about climate change. Many historical trend analyses appear to deemphasize…

Applications · Statistics 2017-05-16 Andrew Poppick , Elisabeth J. Moyer , Michael L. Stein

Climate change is a massive multidimensional shift. Temperature shifts, in particular, have important implications for urbanization, agriculture, health, productivity, and poverty, among other things. While much research has documented…

Applications · Statistics 2021-01-07 Francis X. Diebold , Glenn D. Rudebusch

We propose a novel inverse-modelling approach which estimates the parameters of a simple land-surface model (LSM) by assimilating data into a differentiable physics-based forward model. The governing equations are expressed within a…

Atmospheric and Oceanic Physics · Physics 2026-04-17 Ruiyue Huang , Claire E. Heaney , Maarten van Reeuwijk

We study the quadratic prediction error method -- i.e., nonlinear least squares -- for a class of time-varying parametric predictor models satisfying a certain identifiability condition. While this method is known to asymptotically achieve…

Statistics Theory · Mathematics 2024-04-17 Charis Stamouli , Ingvar Ziemann , George J. Pappas

Variations in zonal surface temperature gradients and zonally asymmetric tropical overturning circulations (Walker circulations) are examined over a wide range of climates simulated with an idealized atmospheric general circulation model…

Atmospheric and Oceanic Physics · Physics 2015-05-19 Timothy M. Merlis , Tapio Schneider

We present a non-linear AI-model designed to reconstruct monthly mean anomalies of the European temperature and precipitation based on the Euro-Atlantic Weather regimes (WR) indices. WR represent recurrent, quasi-stationary, and persistent…

Machine Learning · Computer Science 2025-12-11 A. Camilletti , G. Franch , E. Tomasi , M. Cristoforetti

Aircraft trajectory prediction requires the determination of the atmospheric properties (pressure, temperature, and density) encountered by the aircraft during its flight. This is accomplished by employing a tabulated prediction published…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Eduardo Gallo

Low-cost thermal cameras are inaccurate (usually $\pm 3^\circ C$) and have space-variant nonuniformity across their detector. Both inaccuracy and nonuniformity are dependent on the ambient temperature of the camera. The goal of this work…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Navot Oz , Nir Sochen , David Mendelovich , Iftach Klapp

It was all known that Lhasa went through a high temperature of 30.8$^{\circ}$C in late June 2019, which hit record highs. To better understand the reasons, based on observations recorded at automatic weather stations in Lhasa, we studied…

Atmospheric and Oceanic Physics · Physics 2020-01-01 Yang Lei , Hongbin Wang , Tongsuo Lu , Wenxue Fu , Jing Hu , Dong Wei

Heat demand prediction is a prominent research topic in the area of intelligent energy networks. It has been well recognized that periodicity is one of the important characteristics of heat demand. Seasonal-trend decomposition based on…

Machine Learning · Computer Science 2018-08-02 Jiyang Xie , Jiaxin Guo , Zhanyu Ma , Jing-Hao Xue , Qie Sun , Hailong Li , Jun Guo

Decadal climate predictions, which are initialized with observed conditions, are characterized by two main sources of uncertainties--internal and model variabilities. Using an ensemble of climate model simulations from the CMIP5 decadal…

Atmospheric and Oceanic Physics · Physics 2015-08-10 Ehud Strobach , Golan Bel

Recently, artificial intelligence-based (AI-based) models for forecasting of global weather have been rapidly developed. Most of the global models are trained on reanalysis datasets with a spatial resolution of 0.25{\deg}*0.25{\deg}.…

Atmospheric and Oceanic Physics · Physics 2025-01-28 Pengbo Xu , Xiaogu Zheng , Tianyan Gao , Yu Wang , Junping Yin , Juan Zhang , Xuanze Zhang , San Luo , Zhonglei Wang , Zhimin Zhang , Xiaoguang Hu , Xiaoxu Chen
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