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A Bell test can rule out local realistic models, and has potential applications in communications and information tasks. For example, a Bell inequality violation can certify the presence of intrinsic randomness in measurement outcomes,…

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

统计方法学 · 统计学 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Statistical hypothesis tests typically use prespecified sample sizes, yet data often arrive sequentially. Interim analyses invalidate classical error guarantees, while existing sequential methods require rigid testing preschedules or incur…

统计方法学 · 统计学 2026-02-17 Chris Holmes , Stephen Walker

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

统计方法学 · 统计学 2020-06-03 Hyunseung Kang , Youjin Lee , T. Tony Cai , Dylan S. Small

We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

统计理论 · 数学 2017-06-02 Igor L. Kheifets

We consider the effect of temporal aggregation on instantaneous (non-temporal) causal discovery in general setting. This is motivated by the observation that the true causal time lag is often considerably shorter than the observational…

机器学习 · 统计学 2024-09-11 Shunxing Fan , Mingming Gong , Kun Zhang

In this paper, we consider the problem of simultaneous testing of multivariate normal means under arbitrary covariance dependence. Specifically, let $\boldsymbol{X}\sim N_n(\boldsymbol{\theta},\boldsymbol{\Sigma})$, where…

统计理论 · 数学 2026-05-29 Prasenjit Ghosh , Arijit Chakrabarti

The test of homogeneity for normal mixtures has been conducted in diverse research areas, but constructing a theory of the test of homogeneity is challenging because the parameter set for the null hypothesis corresponds to singular points…

统计理论 · 数学 2020-12-02 Natsuki Kariya , Sumio Watanabe

When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

统计理论 · 数学 2018-05-01 Ansgar Steland

Causal mediation analysis seeks to determine whether an independent variable affects a response variable directly or whether it does so indirectly, by way of a mediator. The existing statistical tests to determine the existence of an…

统计方法学 · 统计学 2023-09-28 John Kidd , Dan-Yu Lin

In this paper, change-point problems for long memory stochastic volatility models are considered. A general testing problem which includes various alternative hypotheses is discussed. Under the hypothesis of stationarity the limiting…

统计理论 · 数学 2017-06-21 Annika Betken , Rafał Kulik

In large scale genetic association studies, a primary aim is to test for association between genetic variants and a disease outcome. The variants of interest are often rare, and appear with low frequency among subjects. In this situation,…

统计方法学 · 统计学 2017-12-20 Arjun Sondhi , Kenneth Martin Rice

We consider the problem of testing whether pairs of univariate random variables are associated. Few tests of independence exist that are consistent against all dependent alternatives and are distribution free. We propose novel tests that…

统计方法学 · 统计学 2014-12-09 Ruth Heller , Yair Heller , Shachar Kaufman , Malka Gorfine

This paper considers the problem of inferring the causal effect of a variable $Z$ on a dependently censored survival time $T$. We allow for unobserved confounding variables, such that the error term of the regression model for $T$ is…

统计理论 · 数学 2024-10-02 Gilles Crommen , Jad Beyhum , Ingrid Van Keilegom

From simulating galaxy formation to viral transmission in a pandemic, scientific models play a pivotal role in developing scientific theories and supporting government policy decisions that affect us all. Given these critical applications,…

We propose a novel method for testing the null hypothesis of no effect of a covariate on the response in the context of functional linear concurrent regression. We establish an equivalent random effects formulation of our functional…

统计方法学 · 统计学 2019-12-16 Rahul Ghosal , Arnab Maity

Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the disturbances, leading to so-called heteroskedasticity and…

统计理论 · 数学 2016-12-21 David Preinerstorfer , Benedikt M. Pötscher

We propose a covariance stationarity test for an otherwise dependent and possibly globally non-stationary time series. We work in a generalized version of the new setting in Jin, Wang and Wang (2015), who exploit Walsh (1923) functions in…

统计理论 · 数学 2024-05-22 Jonathan B. Hill , Tianqi Li

Studies accumulate over time and meta-analyses are mainly retrospective. These two characteristics introduce dependencies between the analysis time, at which a series of studies is up for meta-analysis, and results within the series.…

统计方法学 · 统计学 2019-10-21 Judith ter Schure , Peter D. Grünwald

We present the first whiteness test for graphs, i.e., a whiteness test for multivariate time series associated with the nodes of a dynamic graph. The statistical test aims at finding serial dependencies among close-in-time observations, as…

机器学习 · 统计学 2022-04-26 Daniele Zambon , Cesare Alippi