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We study the problem of testing the equivalence of functional parameters (such as the mean or variance function) in the two sample functional data problem. In contrast to previous work, which reduces the functional problem to a multiple…

Statistics Theory · Mathematics 2020-04-28 Holger Dette , Kevin Kokot

Equivalence testing plays a key role in several domains, such as the development of generic medical products, which are therapeutically equivalent to brand-name drugs but with reduced cost and increased accessibility. Promoting access to…

Methodology · Statistics 2025-07-31 Luca Insolia , Yanyuan Ma , Younes Boulaguiem , Stéphane Guerrier

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

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

Synthetic biologists have made great progress over the past decade in developing methods for modular assembly of genetic sequences and in engineering biological systems with a wide variety of functions in various contexts and organisms.…

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

Molecular simulations and biophysical experiments can be used to provide independent and complementary insights into the molecular origin of biological processes. A particularly useful strategy is to use molecular simulations as a modelling…

Chemical Physics · Physics 2019-12-10 Simone Orioli , Andreas Haahr Larsen , Sandro Bottaro , Kresten Lindorff-Larsen

Biomolecular force fields have been traditionally derived based on a mixture of reference quantum chemistry data and experimental information obtained on small fragments. However, the possibility to run extensive molecular dynamics…

Computational Physics · Physics 2020-06-19 Thorben Fröhlking , Mattia Bernetti , Nicola Calonaci , Giovanni Bussi

The identification of similar patient pathways is a crucial task in healthcare analytics. A flexible tool to address this issue are parametric competing risks models, where transition intensities may be specified by a variety of parametric…

Methodology · Statistics 2024-01-10 Kathrin Möllenhoff , Nadine Binder , Holger Dette

Mathematical methods provide useful framework for the analysis and design of complex systems. In newer contexts such as biology, however, there is a need to both adapt existing methods as well as to develop new ones. Using a combination of…

Molecular Networks · Quantitative Biology 2017-12-06 Abhishek Dey , Shaunak Sen

Simulating vibronic spectra is a central task in physical chemistry, offering insight into important properties of molecules. Recently, it has been experimentally demonstrated that photonic platforms based on Gaussian boson sampling (GBS)…

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

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

Other Quantitative Biology · Quantitative Biology 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

Biological cells are built up from many different constituents of varying size and stiffness which all contribute to the cell's mechanical properties. Despite this heterogeneity, in the analysis of experimental measurements such as atomic…

Biological Physics · Physics 2023-05-18 Sebastian Wohlrab , Sebastian J. Müller , Stephan Gekle

Recently, numerous pharmaceutical sponsors have expressed a great deal of interest in the development of biosimilars, which requires clinical trials to demonstrate the equivalence of pharmacokinetics (PK) and clinical efficacy.…

Applications · Statistics 2017-05-16 Ryuji Uozumi , Chikuma Hamada

Measuring similarities/dissimilarities between atomic structures is important for the exploration of potential energy landscapes. However, the cell vectors together with the coordinates of the atoms, which are generally used to describe…

This paper describes a time-series-based classification approach to identify similarities between bio-medical-based situations. The proposed approach allows classifying collections of time-series representing bio-medical measurements, i.e.,…

Applications · Statistics 2013-05-14 Uri Kartoun

Physical limit of molecular sensing has been extensively studied in biological systems. Biosensors are engineered equivalents of molecular sensors in living systems and play critical role in disease diagnosis and management. Investigation…

Biological Physics · Physics 2021-08-10 Tuhin Chakrabortty , Manoj M Varma

While generative models have recently become ubiquitous in many scientific areas, less attention has been paid to their evaluation. For molecular generative models, the state-of-the-art examines their output in isolation or in relation to…

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
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