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In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice. We estimate all parameters, the strength of the objects and the boundaries of equal decision,…

Optimization and Control · Mathematics 2025-02-20 László Gyarmati , Csaba Mihálykó , Eva Orbán-Mihálykó , András Mihálykó

In data analysis, unexpected results often prompt researchers to revisit their procedures to identify potential issues. While some researchers may struggle to identify the root causes, experienced researchers can often quickly diagnose…

Methodology · Statistics 2026-01-06 H. Sherry Zhang , Roger D. Peng

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

Software Engineering · Computer Science 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for…

Discrete Mathematics · Computer Science 2022-02-07 Iliya Bouyukliev , Stefka Bouyuklieva

Despite the potential impact of explanations on decision making, there is a lack of research on quantifying their effect on users' choices. This paper presents an experimental protocol for measuring the degree to which positively or…

Human-Computer Interaction · Computer Science 2023-03-17 Krisztian Balog , Filip Radlinski , Andrey Petrov

Probing classifiers have emerged as one of the prominent methodologies for interpreting and analyzing deep neural network models of natural language processing. The basic idea is simple -- a classifier is trained to predict some linguistic…

Computation and Language · Computer Science 2021-09-23 Yonatan Belinkov

Prescriptive process monitoring methods seek to improve the performance of a process by selectively triggering interventions at runtime (e.g., offering a discount to a customer) to increase the probability of a desired case outcome (e.g., a…

Machine Learning · Computer Science 2022-12-08 Mahmoud Shoush , Marlon Dumas

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

Statistics Theory · Mathematics 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

Many measurements at collider experiments study physics candidates that are a subset of a collision event. The presence of multiple such candidates in a given event can cause raw biases which are large compared to typical statistical…

High Energy Physics - Experiment · Physics 2019-08-22 Patrick Koppenburg

In a prediction tournament, contestants "forecast" by asserting a numerical probability for each of (say) 100 future real-world events. The scoring system is designed so that (regardless of the unknown true probabilities) more accurate…

Statistics Theory · Mathematics 2019-03-07 David Aldous

We analyze the problem of comparing unitary transformations. The task is to decide, with minimal resources and maximal reliability, whether two given unitary transformations are identical or different. It is possible to make such…

Quantum Physics · Physics 2009-11-07 Erika Andersson , Igor Jex , Stephen M. Barnett

Classifiers are often tested on relatively small data sets, which should lead to uncertain performance metrics. Nevertheless, these metrics are usually taken at face value. We present an approach to quantify the uncertainty of…

Machine Learning · Statistics 2021-03-05 Niklas Tötsch , Daniel Hoffmann

Fairness metrics are used to assess discrimination and bias in decision-making processes across various domains, including machine learning models and human decision-makers in real-world applications. This involves calculating the…

Machine Learning · Computer Science 2024-11-05 Manh Khoi Duong , Stefan Conrad

The selection process of proposals is a crucial component of scientific progress and innovations. Limited resources must be allocated in the most effective way to maximise advancements and the production of new knowledge, especially as it…

Physics and Society · Physics 2015-04-22 Antonio Navarra

A principal and an agent can launch a project under unanimous consent. Their individual payoffs from the project depend on an underlying state, and the agent privately knows his own preference. The principal can conduct a test to learn…

Theoretical Economics · Economics 2026-02-06 Yingkai Li , Boli Xu

Scholars frequently use covariate balance tests to test the validity of natural experiments and related designs. Unfortunately, when measured covariates are unrelated to potential outcomes, balance is uninformative about key identification…

Methodology · Statistics 2025-10-15 Clara Bicalho , Adam Bouyamourn , Thad Dunning

In this paper, the defining properties of a valid measure of the dependence between two random variables are reviewed and complemented with two original ones, shown to be more fundamental than other usual postulates. While other popular…

Methodology · Statistics 2019-12-03 Gery Geenens , Pierre Lafaye de Micheaux

We define a testing equivalence in the spirit of De Nicola and Hennessy for reactive probabilistic processes, i.e. for processes where the internal nondeterminism is due to random behaviour. We characterize the testing equivalence in terms…

Logic in Computer Science · Computer Science 2010-06-29 Sonja Georgievska , Suzana Andova

Meta-analyses are commonly performed based on random-effects models, while in certain cases one might also argue in favour of a common-effect model. One such case may be given by the example of two "study twins" that are performed according…

Methodology · Statistics 2024-09-04 Christian Röver , Tim Friede

Pre-validation is a way to build prediction model with two datasets of significantly different feature dimensions. Previous work showed that the asymptotic distribution of the resulting test statistic for the pre-validated predictor…

Methodology · Statistics 2025-05-23 Jing Shang , Sourav Chatterjee , Trevor Hastie , Robert Tibshirani