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The predictability of errors in deterministic temperature forecasts is investigated. More precisely, the aim is to issue warnings whenever the differences between forecast and verification exceed a given threshold. The warnings are…

Atmospheric and Oceanic Physics · Physics 2011-12-08 S. Hallerberg , J. Bröcker , H. Kantz , L. A. Smith

In the present paper we demonstrate the results of a statistical analysis of some characteristics of precipitation events and propose a kind of a theoretical explanation of the proposed models in terms of mixed Poisson and mixed exponential…

Probability · Mathematics 2018-06-28 V. Yu. Korolev , A. K. Gorshenin , S. K. Gulev , K. P. Belyaev , A. A. Grusho

We describe various moment-based ensemble interpretation models for the construction of probabilistic temperature forecasts from ensembles. We apply the methods to one year of medium range ensemble forecasts and perform in and out of sample…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

We review some selected recent results concerning selection principles in topology and their relations with several topological constructions.

General Topology · Mathematics 2012-01-10 Ljubisa D. R. Kocinac

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

History and Overview · Mathematics 2007-05-23 Jae-Hyun Yang

We give a probabilistic analysis of inductive knowledge and belief and explore its predictions concerning knowledge about the future, about laws of nature, and about the values of inexactly measured quantities. The analysis combines a…

Logic in Computer Science · Computer Science 2021-06-23 Jeremy Goodman , Bernhard Salow

Ensemble forecast post-processing is a necessary step in producing accurate probabilistic forecasts. Conventional post-processing methods operate by estimating the parameters of a parametric distribution, frequently on a per-location or…

Machine Learning · Computer Science 2023-05-01 Peter Mlakar , Janko Merše , Jana Faganeli Pucer

Using theoretical and numerical arguments we discuss some of the commonly accepted approximations for the radiative transfer equations in climatology.

Analysis of PDEs · Mathematics 2021-11-30 Claude Bardos , Francois Golse , Olivier Pironneau

Spread regression is an extension of linear regression that allows for the inclusion of a predictor that contains information about the variance. It can be used to take the information from a weather forecast ensemble and produce a…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Electricity price forecasting has become a critical tool for decision-making in energy markets, particularly as the increasing penetration of renewable energy introduces greater volatility and uncertainty. Historically, research in this…

Statistical Finance · Quantitative Finance 2025-11-11 Ciaran O'Connor , Mohamed Bahloul , Steven Prestwich , Andrea Visentin

The gaussian spread regression model for the calibration of site specific ensemble temperature forecasts depends on the apparently restrictive assumption that the uncertainty around temperature forecasts is normally distributed. We…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

We summarize some of the main ideas and results around symplectic field theory, from its early inception up to recent and ongoing developments.

Symplectic Geometry · Mathematics 2024-10-29 Richard Hind , Kyler Siegel

With the possible exception of gambling, meteorology, particularly precipitation forecasting, may be the area with which the general public is most familiar with probabilistic assessments of uncertainty. Despite the heavy use of stochastic…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Peter Guttorp , Michael L. Stein

This article contains a concise review of the theory of inflation. We discuss its main theoretical aspects as well as its observational predictions. We also explain how the most recent astrophysical observations constrain the inflationary…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-31 Jerome Martin

Probabilistic forecasts in the form of probability distributions over future events have become popular in several fields including meteorology, hydrology, economics, and demography. In typical applications, many alternative statistical…

Computation · Statistics 2018-07-31 Alexander Jordan , Fabian Krüger , Sebastian Lerch

The evaluation of the probability of union of a large number of independent events requires several combinations involving the factorial and the use of high performance computers with several hours of processing. Bounds and simplifications…

Numerical Analysis · Mathematics 2025-03-07 Edson Luiz Ursini , Paulo S. Martins

When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by…

Probability · Mathematics 2007-05-23 Alison L. Gibbs , Francis Edward Su

Weather forecasting is mostly based on the outputs of deterministic numerical weather forecasting models. Multiple runs of these models with different initial conditions result in forecast ensembles which is are used for estimating the…

Applications · Statistics 2015-07-21 Sándor Baran , András Horányi , Dóra Nemoda

Probabilistic model checking is an approach to the formal modelling and analysis of stochastic systems. Over the past twenty five years, the number of different formalisms and techniques developed in this field has grown considerably, as…

Logic in Computer Science · Computer Science 2025-09-17 Marta Kwiatkowska , Gethin Norman , David Parker

With the increasing capabilities of LLMs, recent studies focus on understanding whose opinions are represented by them and how to effectively extract aligned opinion distributions. We conducted an empirical analysis of three straightforward…

Computation and Language · Computer Science 2024-11-18 Maja Pavlovic , Massimo Poesio