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In Bayesian inference, predictive distributions are typically in the form of samples generated via Markov chain Monte Carlo (MCMC) or related algorithms. In this paper, we conduct a systematic analysis of how to make and evaluate…

Methodology · Statistics 2020-06-25 Fabian Krüger , Sebastian Lerch , Thordis L. Thorarinsdottir , Tilmann Gneiting

Multilabel data should be analysed for label dependence before applying multilabel models. Independence between multilabel data labels cannot be measured directly from the label values due to their dependence on the set of covariates…

Machine Learning · Computer Science 2025-08-27 Laurence A. F. Park , Jesse Read

In the face of uncertainty, the need for probabilistic assessments has long been recognized in the literature on forecasting. In classification, however, comparative evaluation of classifiers often focuses on predictions specifying a single…

Methodology · Statistics 2023-05-31 Johannes Resin

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

Methodology · Statistics 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

Methodology · Statistics 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

Calibration$\unicode{x2014}$the problem of ensuring that predicted probabilities align with observed class frequencies$\unicode{x2014}$is a basic desideratum for reliable prediction with machine learning systems. Calibration error is…

Machine Learning · Statistics 2026-03-02 Eugène Berta , Sacha Braun , David Holzmüller , Francis Bach , Michael I. Jordan

Measuring a strength of dependence of random variables is an important problem in statistical practice. In this paper, we propose a new function valued measure of dependence of two random variables. It allows one to study and visualize…

Methodology · Statistics 2014-05-12 Teresa Ledwina

Typically, machine learning models are trained and evaluated without making any distinction between users (e.g, using traditional hold-out and cross-validation). However, this produces inaccurate performance metrics estimates in multi-user…

Machine Learning · Computer Science 2023-12-11 Enrique Garcia-Ceja , Luciano Garcia-Banuelos , Nicolas Jourdan

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

Data Analysis, Statistics and Probability · Physics 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

Large-scale data analysis is growing at an exponential rate as data proliferates in our societies. This abundance of data has the advantage of allowing the decision-maker to implement complex models in scenarios that were prohibitive…

Optimization and Control · Mathematics 2022-01-11 Marco Repetto , Davide La Torre , Muhammad Tariq

We propose a new class of extreme-value copulas which are extreme-value limits of conditional normal models. Conditional normal models are generalizations of conditional independence models, where the dependence among observed variables is…

Methodology · Statistics 2021-02-16 Pavel Krupskii , Marc G. Genton

Today weather forecasting is conducted using numerical weather prediction (NWP) models, consisting of a set of differential equations describing the dynamics of the atmosphere. The output of such NWP models are single deterministic…

Applications · Statistics 2018-11-07 Annette Möller , Ludovica Spazzini , Daniel Kraus , Thomas Nagler , Claudia Czado

Typically, point forecasting methods are compared and assessed by means of an error measure or scoring function, such as the absolute error or the squared error. The individual scores are then averaged over forecast cases, to result in a…

Statistics Theory · Mathematics 2010-03-09 Tilmann Gneiting

The integration of renewable energy sources (RES) into power grids presents significant challenges due to their intrinsic stochasticity and uncertainty, necessitating the development of new techniques for reliable and efficient forecasting.…

Machine Learning · Statistics 2024-09-13 Hanyu Zhang , Reza Zandehshahvar , Mathieu Tanneau , Pascal Van Hentenryck

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

Methodology · Statistics 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged…

Data Analysis, Statistics and Probability · Physics 2013-09-11 Rémy Chicheportiche , Anirban Chakraborti

In observational studies, propensity scores are commonly estimated by maxi- mum likelihood but may fail to balance high-dimensional pre-treatment covariates even after specification search. We introduce a general framework that unifies and…

Methodology · Statistics 2017-03-22 Qingyuan Zhao

We use Monte Carlo techniques to simulate an organized prediction competition between a group of a scientific experts acting under the influence of a ``self-governing'' prediction reward algorithm. Our aim is to illustrate the advantages of…

Social and Information Networks · Computer Science 2023-05-09 J. O. Gonzalez-Hernandez , Jonathan Marino , Ted Rogers , Brandon Velasco

Proper scoring rules are methods for encouraging honest assessment of probability distributions. Just like likelihood, a proper scoring rule can be applied to supply an unbiased estimating equation for any statistical model, and the theory…

Statistics Theory · Mathematics 2020-04-28 Philip Dawid , Monica Musio , Laura Ventura

This paper proposes a variance-based measure of importance for coherent systems with dependent and heterogeneous components. The particular cases of independent components and homogeneous components are also considered. We model the…

Applications · Statistics 2024-09-30 Antonio Arriaza , Jorge Navarro , Miguel Angel Sordo , Alfonso Suárez-Llorens