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We study two-sample tests for relevant differences in persistence diagrams obtained from $L^p$-$m$-approximable data $(\mathcal{X}_t)_t$ and $(\mathcal{Y}_t)_t$. To this end, we compare variance estimates w.r.t.\ the Wasserstein metrics on…

Statistics Theory · Mathematics 2024-01-22 Johannes Krebs , Daniel Rademacher

The distribution function of a random distance in three dimensions is given and some new three-dimensional d2-tests of randomness are suggested. We show that our test statistics are not correlated with the usual test statistics and are…

Applications · Statistics 2014-02-24 Sergii Koliada

We propose a sequential nonparametric test for detecting a change in distribution, based on windowed Kolmogorov--Smirnov statistics. The approach is simple, robust, highly computationally efficient, easy to calibrate, and requires no…

Methodology · Statistics 2016-12-26 Oscar Hernan Madrid Padilla , Alex Athey , Alex Reinhart , James G. Scott

Two-sample hypothesis testing for random graphs arises naturally in neuroscience, social networks, and machine learning. In this paper, we consider a semiparametric problem of two-sample hypothesis testing for a class of latent position…

Methodology · Statistics 2015-06-19 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

A key challenge in causal inference from observational studies is the identification and estimation of causal effects in the presence of unmeasured confounding. In this paper, we introduce a novel approach for causal inference that…

Methodology · Statistics 2022-10-17 Ying Zhou , Dingke Tang , Dehan Kong , Linbo Wang

Thread-level parallelism in irregular applications with mutable data dependencies presents challenges because the underlying data is extensively modified during execution of the algorithm and a high degree of parallelism must be realized…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Georgios Rokos , Gerard J. Gorman , Kristian Ejlebjerg Jensen , Paul H. J. Kelly

Difference-in-differences is a common method for estimating treatment effects, and the parallel trends condition is its main identifying assumption: the trend in mean untreated outcomes is independent of the observed treatment status. In…

Econometrics · Economics 2023-08-09 Philip Marx , Elie Tamer , Xun Tang

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

Statistics Theory · Mathematics 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

Testing the equality of two conditional distributions is crucial in various modern applications, including transfer learning and causal inference. Despite its importance, this fundamental problem has received surprisingly little attention…

Methodology · Statistics 2025-09-04 Jian Yan , Zhuoxi Li , Xianyang Zhang

We describe a statistical hypothesis test for the presence of a signal based on the likelihood ratio statistic. We derive the test for a case of interest and also show that for that case the test works very well, even far out in the tails…

Data Analysis, Statistics and Probability · Physics 2007-08-29 Wolfgang A. Rolke , Angel M. Lopez

We introduce a statistical method to detect nonlinearity and nonstationarity in time series, that works even for short sequences and in presence of noise. The method has a discrimination power similar to that of the most advanced estimators…

Chaotic Dynamics · Physics 2010-11-16 M. De Domenico , V. Latora

In this paper we introduce a kernel-based measure for detecting differences between two conditional distributions. Using the `kernel trick' and nearest-neighbor graphs, we propose a consistent estimate of this measure which can be computed…

Methodology · Statistics 2024-08-30 Anirban Chatterjee , Ziang Niu , Bhaswar B. Bhattacharya

In this paper we develop methodology for testing relevant hypotheses about functional time series in a tuning-free way. Instead of testing for exact equality, for example for the equality of two mean functions from two independent time…

Methodology · Statistics 2020-02-21 Holger Dette , Kevin Kokot , Stanislav Volgushev

In this article, we introduce parallel-in-time methods for state and parameter estimation in general nonlinear non-Gaussian state-space models using the statistical linear regression and the iterated statistical posterior linearization…

Computation · Statistics 2023-04-06 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä

Testing for series correlation among error terms is a basic problem in linear regression model diagnostics. The famous Durbin-Watson test and Durbin's h-test rely on certain model assumptions about the response and regressor variables. The…

Statistics Theory · Mathematics 2019-01-18 Yanqing Yin

We propose an inference method for detecting multiple change points in high-dimensional time series, targeting dense or spatially clustered signals. Our method aggregates moving sum (MOSUM) statistics cross-sectionally by an $\ell^2$-norm…

Statistics Theory · Mathematics 2023-07-06 Jiaqi Li , Likai Chen , Weining Wang , Wei Biao Wu

The question whether a time series behaves as a random walk or as a station- ary process is an important and delicate problem, particularly arising in financial statistics, econometrics, and engineering. This paper studies the problem to…

Probability · Mathematics 2010-01-13 Ansgar Steland

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who have recovered from the disease as quickly…

Information Theory · Computer Science 2022-06-15 Melih Bastopcu , Sennur Ulukus

We propose novel kernel-based tests for assessing the equivalence between distributions. Traditional goodness-of-fit testing is inappropriate for concluding the absence of distributional differences, because failure to reject the null…

Machine Learning · Statistics 2026-03-17 Xing Liu , Axel Gandy
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