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The recent availability of routine medical data, especially in a university-clinical context, may enable the discovery of typical healthcare pathways, i.e., typical temporal sequences of clinical interventions or hospital readmissions.…

Methodology · Statistics 2021-09-22 Nadine Binder , Kathrin Möllenhoff , August Sigle , Holger Dette

Assessing whether two patient populations exhibit comparable event dynamics is essential for evaluating treatment equivalence, pooling data across cohorts, or comparing clinical pathways across hospitals or strategies. We introduce a…

Methodology · Statistics 2026-04-10 Zoe Kristin Lange , Maryam Farhadizadeh , Holger Dette , Nadine Binder

In clinical trials the comparison of two different populations is a frequently addressed problem. Non-linear (parametric) regression models are commonly used to describe the relationship between covariates as the dose and a response…

Methodology · Statistics 2019-02-12 Kathrin Möllenhoff , Frank Bretz , Holger Dette

This paper addresses the problem of deciding whether the dose response relationships between subgroups and the full population in a multi-regional trial are similar to each other. Similarity is measured in terms of the maximal deviation…

Statistics Theory · Mathematics 2024-04-30 Holger Dette , Lukas Koletzko , Frank Bretz

The problem of testing the equality of the generating processes of two categorical time series is addressed in this work. To this aim, we propose three tests relying on a dissimilarity measure between categorical processes. Particular…

Methodology · Statistics 2023-05-02 Ángel López-Oriona , José Antonio Vilar Fernández , Pierpaolo D'Urso

Clinical trials often aim to compare a new drug with a reference treatment in terms of efficacy and/or toxicity depending on covariates such as, for example, the dose level of the drug. Equivalence of these treatments can be claimed if the…

Methodology · Statistics 2019-10-22 Holger Dette , Kathrin Möllenhoff , Frank Bretz

In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address…

Methodology · Statistics 2026-01-26 Simon Mack , Marc Ditzhaus , Merle Munko , Markus Pauly

Competing risks model time to first event and type of first event. An example from hospital epidemiology is the incidence of hospital-acquired infection, which has to account for hospital discharge of non-infected patients as a competing…

Methodology · Statistics 2013-04-09 Arthur Allignol , Jan Beyersmann , Thomas Gerds , Aurélien Latouche

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

The automatic discovery of a model to represent the history of encounters of a group of patients with the healthcare system -- the so-called "pathway of patients" -- is a new field of research that supports clinical and organisational…

In a spatial-temporal model, structural change and/or spatial heterogeneity can easily affect estimation of parameters. Following the spatial-temporal model in [1], we develop a nonparametric procedure for test-ing the presence of…

Methodology · Statistics 2021-07-07 Ruby Anne E. Lemence , Erniel B. Barrios

Diagnostic accuracy studies assess sensitivity and specificity of a new index test in relation to an established comparator or the reference standard. The development and selection of the index test is usually assumed to be conducted prior…

Methodology · Statistics 2022-08-30 Max Westphal , Antonia Zapf

This paper studies the matched network inference problem, where the goal is to determine if two networks, defined on a common set of nodes, exhibit a specific form of stochastic similarity. Two notions of similarity are considered: (i)…

Methodology · Statistics 2025-02-06 Somnath Bhadra , Kaustav Chakraborty , Srijan Sengupta , Soumendra Lahiri

In this paper we compare two regression curves by measuring their difference by the area between the two curves, represented by their $L^1$-distance. We develop asymptotic confidence intervals for this measure and statistical tests to…

Statistics Theory · Mathematics 2023-02-03 Patrick Bastian , Holger Dette , Lukas Koletzko , Kathrin Möllenhoff

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

Methodology · Statistics 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

This paper studies the problem of testing whether a system of linear equality and inequality constraints admits a solution when the coefficients of that system may have to be estimated. We show that a wide range of inferential questions in…

Econometrics · Economics 2026-05-11 Leonard Goff , Eric Mbakop

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

Applications · Statistics 2025-06-17 Michael R. Powers , Jiaxin Xu

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

This paper constitutes a short introduction to parametric verification of concurrent systems. It originates from two 1-day tutorial sessions held at the Petri nets conferences in Toru\'n (2016) and Zaragoza (2017). The paper presents not…

Logic in Computer Science · Computer Science 2020-09-29 Étienne André , Michał Knapik , Didier Lime , Wojciech Penczek , Laure Petrucci

In the context of the widely used competing risks set-up we discuss different inference procedures for testing equality of two cumulative incidence functions, where the data may be subject to independent right-censoring or left-truncation.…

Statistics Theory · Mathematics 2015-10-13 Dennis Dobler , Markus Pauly
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