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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…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

We present a new framework for the assessment and calibration of medium range ensemble temperature forecasts. The method is based on maximising the likelihood of a simple parametric model for the temperature distribution, and leads to some…

大气与海洋物理 · 物理学 2009-11-10 Stephen Jewson , Anders Brix , Christine Ziehmann

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…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

Identification of model parameters in computer simulations is an important topic in computer experiments. We propose a new method, called the projected kernel calibration method, to estimate these model parameters. The proposed method is…

统计方法学 · 统计学 2017-05-10 Rui Tuo

Ensembles of forecasts are typically employed to account for the forecast uncertainties inherent in predictions of future weather states. However, biases and dispersion errors often present in forecast ensembles require statistical…

统计方法学 · 统计学 2015-07-21 Sándor Baran , Annette Möller

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

统计方法学 · 统计学 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon

The method of model averaging has become an important tool to deal with model uncertainty, for example in situations where a large amount of different theories exist, as are common in economics. Model averaging is a natural and formal…

应用统计 · 统计学 2019-02-05 Mark F. J. Steel

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

应用统计 · 统计学 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

统计计算 · 统计学 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

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…

应用统计 · 统计学 2015-07-21 Sándor Baran , András Horányi , Dóra Nemoda

Projections of future climate change rely heavily on climate models, and combining climate models through a multi-model ensemble is both more accurate than a single climate model and valuable for uncertainty quantification. However,…

应用统计 · 统计学 2020-02-27 Huang Huang , Dorit Hammerling , Bo Li , Richard Smith

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

统计方法学 · 统计学 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Seasonal forecasting is a crucial task when it comes to detecting the extreme heat and colds that occur due to climate change. Confidence in the predictions should be reliable since a small increase in the temperatures in a year has a big…

机器学习 · 计算机科学 2024-04-05 Busra Asan , Abdullah Akgül , Alper Unal , Melih Kandemir , Gozde Unal

We provide a comprehensive examination of the predictive performance of panel forecasting methods based on individual, pooling, fixed effects, and empirical Bayes estimation, and propose optimal weights for forecast combination schemes. We…

计量经济学 · 经济学 2026-01-30 M. Hashem Pesaran , Andreas Pick , Allan Timmermann

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, common methods for calculating anomalies result in…

大气与海洋物理 · 物理学 2025-06-11 Christopher D. Roberts , Martin Leutbecher

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

量子物理 · 物理学 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

Over the last few decades, various methods have been proposed for estimating prediction intervals in regression settings, including Bayesian methods, ensemble methods, direct interval estimation methods and conformal prediction methods. An…

机器学习 · 统计学 2024-04-02 Nicolas Dewolf , Bernard De Baets , Willem Waegeman

Cosmological parameter uncertainties are often stated assuming a particular model, neglecting the model uncertainty, even when Bayesian model selection is unable to identify a conclusive best model. Bayesian model averaging is a method for…

宇宙学与河外天体物理 · 物理学 2010-12-23 David Parkinson , Andrew R. Liddle

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

统计方法学 · 统计学 2026-05-15 Torey Hilbert

Most supervised machine learning tasks are subject to irreducible prediction errors. Probabilistic predictive models address this limitation by providing probability distributions that represent a belief over plausible targets, rather than…

机器学习 · 统计学 2022-10-25 David Widmann , Fredrik Lindsten , Dave Zachariah
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