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This article introduces a new method for eliciting prior distributions from experts. The method models an expert decision-making process to infer a prior probability distribution for a rare event $A$. More specifically, assuming there…

统计方法学 · 统计学 2023-07-17 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

Statistical modelling of sports data has become more and more popular in the recent years and different types of models have been proposed to achieve a variety of objectives: from identifying the key characteristics which lead a team to win…

应用统计 · 统计学 2019-11-21 Andrea Gabrio

Machine learning models have become increasingly popular for predicting the results of soccer matches, however, the lack of publicly-available benchmark datasets has made model evaluation challenging. The 2023 Soccer Prediction Challenge…

机器学习 · 计算机科学 2023-09-27 Calvin Yeung , Rory Bunker , Rikuhei Umemoto , Keisuke Fujii

A myriad of different data are generated to characterize a soccer match. Here we discuss which performance indicators are particularly helpful to forecast the future results of a team via an estimation of the underlying team strengths with…

物理与社会 · 物理学 2020-03-10 Andreas Heuer

We estimate the effect of playing in one's home country in professional squash using a Bayesian hierarchical model applied to men's and women's Professional Squash Association matches from 2018-2024. The model incorporates players' world…

应用统计 · 统计学 2025-06-12 Philip Greengard , Samer Takriti

Predicting the outcome of elections, sporting events, entertainment awards, and other competitions has long captured the human imagination. Such prediction is growing in sophistication in these areas, especially in the rapidly growing field…

应用统计 · 统计学 2024-02-27 Christopher T. Franck , Christopher E. Wilson

Predicting competitive outcomes typically requires fitting dynamical models to data, from which interaction strengths and coexistence indicators such as invasion criteria can be produced. Methods that allow to propagate parameter…

种群与进化 · 定量生物学 2025-04-10 Matthieu Paquet , Frédéric Barraquand

This article is devoted to the forecast of the FIFA World Cup 2022 via nested zero-inflated generalized Poisson regression. Our regression model incorporates the Elo points of the participating teams, the location of the matches and the of…

应用统计 · 统计学 2025-05-22 Lorenz A. Gilch

This paper proposes a model to predict the outcome of the March Madness tournament based on historical NCAA basketball data since 2013. The framework of this project is a simplification of the FiveThrityEight NCAA March Madness prediction…

应用统计 · 统计学 2025-03-31 Christian McIver , Karla Avalos , Nikhil Nayak

The prior distribution for the unknown model parameters plays a crucial role in the process of statistical inference based on Bayesian methods. However, specifying suitable priors is often difficult even when detailed prior knowledge is…

统计方法学 · 统计学 2020-03-18 Marcelo Hartmann , Georgi Agiashvili , Paul Bürkner , Arto Klami

The COVID-19 pandemic was responsible for the cancellation of both the men's and women's 2020 National Collegiate Athletic Association (NCAA) Division 1 basketball tournaments. Starting from the point at which the Division 1 tournaments and…

应用统计 · 统计学 2023-11-28 Chancellor Johnstone , Dan Nettleton

The authors propose a parametric model called the arena model for prediction in paired competitions, i.e. paired comparisons with eliminations and bifurcations. The arena model has a number of appealing advantages. First, it predicts the…

机器学习 · 计算机科学 2018-11-28 Chenhe Zhang , Peiyuan Sun

Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

机器学习 · 统计学 2017-09-12 Giri Gopalan

The independent chip model (ICM) forms a cornerstone of all modern poker tournament strategy. However, despite its prominence, the ICM's performance in the real world has not been sufficiently scrutinized, especially at a large scale. In…

计算机科学与博弈论 · 计算机科学 2025-08-25 Juho Kim

Pandemic outbreak creates a life threatening situation around the world and for a while it feels as if it slows down the world. A lot of effort is being taken to mitigate the spread of the pandemics. The main objective of this paper is to…

种群与进化 · 定量生物学 2020-10-06 Olivi Thykkoottathil James , Sinnu Susan Thomas

Ordinal cumulative probability models (CPMs) -- also known as cumulative link models -- such as the proportional odds regression model are typically used for discrete ordered outcomes, but can accommodate both continuous and mixed…

统计方法学 · 统计学 2022-01-11 Nathan T. James , Frank E. Harrell , Bryan E. Shepherd

This paper proposed a methodology to forecast electoral outcomes using the result of the combination of a fundamental model and a model-based aggregation of polls. We propose a Bayesian hierarchical structure for the fundamental model that…

Twitter has been proven to be a notable source for predictive modelling on various domains such as the stock market, the dissemination of diseases or sports outcomes. However, such a study has not been conducted in football (soccer) so far.…

机器学习 · 统计学 2014-11-06 Stylianos Kampakis , Andreas Adamides

In many sports, it is commonly believed that the home team has an advantage over the visiting team, known as the home field advantage. Yet its causal effect on team performance is largely unknown. In this paper, we propose a novel causal…

应用统计 · 统计学 2025-08-18 Chen Wang , Katherine Price , Hengrui Cai , Weining Shen , Zhanrui Cai , Guanyu Hu

An open problem posed by the first author is the complexity to decide whether a sequence of nonnegative integer numbers can be the final score of a football tournament. In this paper we propose polynomial time approximate and exponential…

离散数学 · 计算机科学 2012-07-27 A. Iványi , J. E. Schoenfield