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The present study defines a new statistic for detecting laboratory effects in the analysis of ordinal variation (ORDANOVA). The ORDANOVA is an analysis method similar to one-way analysis of variance for analysing ordinal data obtained from…

Applications · Statistics 2022-02-10 Jun-ichi Takeshita , Yuto Arai , Mayu Ogawa , Xiao-Nan Lu , Tomomichi Suzuki

We consider an optimization problem over measures for emergency response to out-of-hospital cardiac arrest (OHCA), where the goal is to allocate volunteer resources across a spatial region to minimize the probability of death. The problem…

Optimization and Control · Mathematics 2025-07-15 Di Yu , Shane G. Henderson , Raghu Pasupathy

We consider the problem of undirected graphical model inference. In many applications, instead of perfectly recovering the unknown graph structure, a more realistic goal is to infer some graph invariants (e.g., the maximum degree, the…

Statistics Theory · Mathematics 2017-07-31 Junwei Lu , Matey Neykov , Han Liu

Method: In this study, a new method is introduced for distinguishing noise-free segments of ECG from noisy segments that use sample amplitude dispersion with an adoptive threshold for variance of samples amplitude and a method which uses…

Signal Processing · Electrical Eng. & Systems 2021-05-24 Zahra Rezaei Khavas , Babak Mohammadzadeh Asl

In shape-constrained nonparametric inference, it is often necessary to perform preliminary tests to verify whether a probability mass function (p.m.f.) satisfies qualitative constraints such as monotonicity, convexity, or in general…

Statistics Theory · Mathematics 2025-12-23 Fadoua Balabdaoui , Antonio Di Noia

Atrial fibrillation (AF) increases the risk of stroke. Electrocardiogram (ECG) is used for AF detection, while photoplethysmography (PPG) is simple to use and appropriate for long-term monitoring. We have developed a novel approach to…

We consider the problem of detecting an elevated mean on an interval with unknown location and length in the univariate Gaussian sequence model. Recent results have shown that using scale-dependent critical values for the scan statistic…

Statistics Theory · Mathematics 2021-07-20 Guenther Walther , Andrew Perry

In recent years, it has become common practice in neuroscience to use networks to summarize relational information in a set of measurements, typically assumed to be reflective of either functional or structural relationships between regions…

Applications · Statistics 2017-03-20 Cedric E. Ginestet , Jun Li , Prakash Balachandran , Steven Rosenberg , Eric D. Kolaczyk

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

We present a general nonparametric approach for testing whether a statistical parameter defined through conditional distributions is constant across the conditioning variables. Such hypotheses arise naturally in problems such as assessing…

Methodology · Statistics 2026-04-23 Albert Osom , Ali Shojaie , Aaron Hudson

The Electrocardiograph signal represents the heart's electrical activity while blood pressure results from the heart's mechanical activity. Previous studies have investigated how the heart's electrical and mechanical activities are related…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Seyedeh Somayyeh Mousavi , Mostafa Charmi , Mohammad Firouzmand , Mohammad Hemmati , Maryam Moghadam , Yadollah Ghorbani

Objective: Atrial fibrillation (AF) is the most common cardiac arrhythmia experienced by intensive care unit (ICU) patients and can cause adverse health effects. In this study, we publish a labelled ICU dataset and benchmarks for AF…

Cardiovascular disease remains a significant problem in modern society. Among non-invasive techniques, the electrocardiogram (ECG) is one of the most reliable methods for detecting abnormalities in cardiac activities. However, ECG…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Huy Pham , Konstantin Egorov , Alexey Kazakov , Semen Budennyy

A topological multiple testing scheme for one-dimensional domains is proposed where, rather than testing every spatial or temporal location for the presence of a signal, tests are performed only at the local maxima of the smoothed observed…

Statistics Theory · Mathematics 2012-03-15 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

The statistical basis for conventional full-waveform inversion (FWI) approaches is commonly associated with Gaussian statistics. However, errors are rarely Gaussian in non-linear problems like FWI. In this work, we investigate the…

Geophysics · Physics 2024-05-27 Sérgio Luiz E. F. da Silva , G. Kaniadakis

In this work, we revisit the one- and two-sample testing problems: binary hypothesis testing in which one or both distributions are unknown. For the one-sample test, we provide a more streamlined proof of the asymptotic optimality of…

Information Theory · Computer Science 2026-04-21 Arick Grootveld , Biao Chen , Venkata Gandikota

Graphical tests assess whether a function of interest departs from an envelope of functions generated under a simulated null distribution. This approach originated in spatial statistics, but has recently gained some popularity in functional…

Methodology · Statistics 2020-06-25 Meng Xu , Philip T. Reiss

We consider three problems in high-dimensional Gaussian linear mixed models. Without any assumptions on the design for the fixed effects, we construct an asymptotic $F$-statistic for testing whether a collection of random effects is zero,…

Statistics Theory · Mathematics 2019-07-30 Michael Law , Ya'acov Ritov

Cardiovascular diseases are best diagnosed using multiple modalities that assess both the heart's electrical and mechanical functions. While effective, imaging techniques like echocardiography and nuclear imaging are costly and not widely…

Medical Physics · Physics 2024-10-28 Sajjad Karimi , Shirin Karimi , Amit J. Shah , Gari D. Clifford , Reza Sameni

We construct a procedure to test the stochastic order of two samples of interval-valued data. We propose a test statistic which belongs to U-statistic and derive its asymptotic distribution under the null hypothesis. We compare the…

Methodology · Statistics 2019-12-05 Hyejeong Choi , Johan Lim , Minjung Kwak , Seongoh Park