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Uplift, essentially being the difference between two probabilities, is a central number in marketing performance measurement. A frequent question in applications is whether the uplifts of two campaigns are significantly different. In this…

Statistics Theory · Mathematics 2014-01-28 Rene Michel , Igor Schnakenburg , Tobias von Martens

Ranking of agents competing with each other in complex systems may lead to paradoxes according to the pre-chosen different measures. A discussion is presented on such rank-rank, similar or not, correlations based on the case of European…

Physics and Society · Physics 2014-10-20 Marcel Ausloos , Rudi Cloots , Adam Gadomski , Nikolay K. Vitanov

With the aid of mathematical modelling (basic tool is the random walk with absorbing barriers) we derive subsequent formulas to study the effect of different versions of possible rules. For different rules the probability of winning a game,…

Other Statistics · Statistics 2018-01-30 G. Szigeti

The use of U-statistics in the change-point context has received considerable attention in the literature. We compare two approaches of constructing CUSUM-type change-point tests, which we call the first-vs-full and first-vs-last approach.…

Methodology · Statistics 2026-02-20 Herold Dehling , Daniel Vogel , Martin Wendler

In the last round of the FIFA World Cup group stage, games for which the outcome does not affect the selection of the qualified teams are played with little enthusiasm. Furthermore, a team that has already qualified may take into account…

Applications · Statistics 2021-02-04 Mario Chater , Luc Arrondel , Jean-Pascal Gayant , Jean-François Laslier

A spin-fermion model relevant for the description of cuprates ladders is studied in a path integral formalism, where, after integrating out the fermions, an effective action for the spins in term of a Fermi-determinant results. The…

Strongly Correlated Electrons · Physics 2009-11-07 L. Campos Venuti , A. Muramatsu

This paper applies existing and new approaches to study trends in the performance of elite athletes over time. We study both track and field scores of men and women athletes on a yearly basis from 2001 to 2019, revealing several trends and…

Physics and Society · Physics 2023-01-20 Nick James , Max Menzies , Howard Bondell

Pairwise comparison matrices are widely used in Multicriteria Decision Making. This article applies incomplete pairwise comparison matrices in the area of sport tournaments, namely proposing alternative rankings for the 2010 Chess Olympiad…

Applications · Statistics 2019-06-20 László Csató

Starting in the 2024/25 season, the Union of European Football Associations (UEFA) has fundamentally changed the format of its club competitions: the group stage has been replaced by a league phase played by 36 teams in an incomplete round…

Physics and Society · Physics 2026-04-30 László Csató , Karel Devriesere , Dries Goossens , András Gyimesi , Roel Lambers , Frits Spieksma

Tournament organisers supposedly design rules such that a team cannot be strictly better off by exerting a lower effort. However, the European qualification tournaments for recent FIFA soccer World Cups are known to violate this…

Physics and Society · Physics 2020-05-28 László Csató

Existing multi-outcome designs focus almost entirely on evaluating whether all outcomes show evidence of efficacy or whether at least one outcome shows evidence of efficacy. While a small number of authors have provided multi-outcome…

Methodology · Statistics 2020-12-21 Martin Law , Michael J. Grayling , Adrian P. Mander

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

Optimization and Control · Mathematics 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

ICC's current ranking system does not adequately account for key contextual factors such as home advantage, toss impact and scheduling imbalances; leading to inconsistencies in team evaluation in Test cricket. This study develops an…

Applications · Statistics 2026-03-04 Rhitankar Bandyopadhyay , Diganta Mukherjee

Scoring rules aggregate individual rankings by assigning some points to each position in each ranking such that the total sum of points provides the overall ranking of the alternatives. They are widely used in sports competitions consisting…

Other Statistics · Statistics 2023-03-28 László Csató

To predict the final result of an athlete in a marathon run thoroughly is the eternal desire of each trainer. Usually, the achieved result is weaker than the predicted one due to the objective (e.g., environmental conditions) as well as…

Neural and Evolutionary Computing · Computer Science 2017-05-10 Iztok Fister , Dušan Fister , Suash Deb , Uroš Mlakar , Janez Brest , Iztok Fister

What proportion of treated units actually benefited from an experimental intervention? What is the median or the largest individual treatment effect? This paper develops methods for answering such questions about the distribution of…

Methodology · Statistics 2026-05-11 David Kim , Yongchang Su , Jake Bowers , Xinran Li

Because the decathlon tests many facets of athleticism, including sprinting, throwing, jumping, and endurance, many consider it to be the ultimate test of athletic ability. On this view, estimating the maximal decathlon score and…

Applications · Statistics 2026-05-06 Paul-Hieu V. Nguyen , James M. Smoliga , Benton Lindaman , Sameer K. Deshpande

Marathons are one of the ultimate challenges of human endeavor. In this paper, we apply recently introduced multifractal techniques which yield a new classification parameter in the processing of physiological data captured on marathon…

Signal Processing · Electrical Eng. & Systems 2025-01-13 Véronique Billat , Wejdene Nasr Ben Hadj Amor , Guillaume Saës , Stéphane Jaffard , Florent Palacin

In a round-robin tournament, a team may lack the incentive to win if its final rank does not depend on the outcome of the matches still to be played. This paper introduces a classification scheme to determine these weakly (where one team is…

Optimization and Control · Mathematics 2024-01-26 László Csató , Roland Molontay , József Pintér

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

Optimization and Control · Mathematics 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner