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We develop a Markov model of curling matches, parametrised by the probability of winning an end and the probability distribution of scoring ends. In practical applications, these end-winning probabilities can be estimated econometrically,…

Applications · Statistics 2024-11-06 John Fry , Mark Austin , Silvio Fanzon

In the sport of cricket, the side that wins the toss and has the first choice to bat or bowl can have an unfair or a critical advantage. The issue has been discussed by International Cricket Council committees, as well as several cricket…

Computer Science and Game Theory · Computer Science 2022-01-14 Haris Aziz

The emerging progress of eSports lacks the tools for ensuring high-quality analytics and training in Pro and amateur eSports teams. We report on an Artificial Intelligence (AI) enabled solution for predicting the eSports player in-game…

Human-Computer Interaction · Computer Science 2021-08-25 Anton Smerdov , Evgeny Burnaev , Andrey Somov , Anton Stepanov

Modern society is full of computational challenges that rely on probabilistic reasoning, statistics, and combinatorics. Interestingly, many of these questions can be formulated by encoding them into propositional formulas and then asking…

Artificial Intelligence · Computer Science 2025-04-22 Johannes K. Fichte , Markus Hecher

In this work, we deal with the problem of rating in sports, where the skills of the players/teams are inferred from the observed outcomes of the games. Our focus is on the online rating algorithms which estimate the skills after each new…

Machine Learning · Statistics 2021-04-30 Leszek Szczecinski , Raphaëlle Tihon

Three state-of-the-art statistical ranking methods for forecasting football matches are combined with several other predictors in a hybrid machine learning model. Namely an ability estimate for every team based on historic matches; an…

Cluster analysis aims at partitioning data into groups or clusters. In applications, it is common to deal with problems where the number of clusters is unknown. Bayesian mixture models employed in such applications usually specify a…

Methodology · Statistics 2022-01-27 Jan Greve , Bettina Grün , Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter

Background: The uptake of formalized prior elicitation from experts in Bayesian clinical trials has been limited due to challenges such as complex statistical modeling, lack of practical tools, and the cognitive burden placed on experts…

Methodology · Statistics 2025-09-15 Yongdong Ouyang , Janice J Eng , Denghuang Zhan , Hubert Wong , The WnW Research Team

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

We introduce Bayesimax theory, a paradigm for objective Bayesian analysis which selects priors by applying minimax theory to prior disclosure games. In these games, the uniquely optimal strategy for a Bayesian agent upon observing the data…

Statistics Theory · Mathematics 2025-09-09 Sitaram Vangala

This paper presents a study on the prediction of outcomes in matches of the electronic game League of Legends (LoL) using machine learning techniques. With the aim of exploring the ability to predict real-time results, considering different…

Machine Learning · Computer Science 2026-05-01 Jailson B. S. Junior , Claudio E. C. Campelo

In Bayesian statistics, the choice of prior distribution is often debatable, especially if prior knowledge is limited or data are scarce. In imprecise probability, sets of priors are used to accurately model and reflect prior knowledge.…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

We compare various extensions of the Bradley-Terry model and a hierarchical Poisson log-linear model in terms of their performance in predicting the outcome of soccer matches (win, draw, or loss). The parameters of the Bradley-Terry…

This article demonstrates a new approach to finding ideal bowling targeting strategies through computer simulation. To model bowling ball behaviour, a system of five coupled differential equations is derived using Euler equations for rigid…

Popular Physics · Physics 2022-10-14 Simon Ji , Shouzhuo Yang , Wilber Dominguez , Cacey Bester

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

Physics and Society · Physics 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

We consider all Test matches played between 1877 and 2010 and One Day International (ODI) matches played between 1971 and 2010. We form directed and weighted networks of teams and also of their captains. The success of a team (or captain)…

Physics and Society · Physics 2015-06-03 Satyam Mukherjee

Duckworth-Lewis (D/L) method is the incumbent rain rule used to decide the result of a limited overs cricket match should it not be able to reach its natural conclusion. Duckworth and Lewis (1998) devised a two factor relationship between…

Applications · Statistics 2018-10-03 Indrabati Bhattacharya , Rahul Ghosal , Sujit Ghosh

Many computational problems in modern society account to probabilistic reasoning, statistics, and combinatorics. A variety of these real-world questions can be solved by representing the question in (Boolean) formulas and associating the…

Logic in Computer Science · Computer Science 2024-08-29 Johannes K. Fichte , Markus Hecher , Florim Hamiti

Doctors often rely on their past experience in order to diagnose patients. For a doctor with enough experience, almost every patient would have similarities to key cases seen in the past, and each new patient could be viewed as a mixture of…

Artificial Intelligence · Computer Science 2018-09-12 Ramin Moghaddass , Cynthia Rudin