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For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the…

机器学习 · 统计学 2025-02-24 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

Multivariate analysis-of-variance (MANOVA) is a well established tool to examine multivariate endpoints. While classical approaches depend on restrictive assumptions like normality and homogeneity, there is a recent trend to more general…

统计理论 · 数学 2022-11-29 Marléne Baumeister , Marc Ditzhaus , Markus Pauly

In an observational study, it is common to leverage known null effect to detect bias. One such strategy is to set aside a placebo sample -- a subset of data immune from the hypothesized cause-and-effect relationship. Existence of an effect…

统计方法学 · 统计学 2022-07-05 Ting Ye , Shuxiao Chen , Bo Zhang

We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

In this review we discuss the progress of the past decade in testing for a possible temporal variation of the fine structure constant $\alpha$. Advances in atomic sample preparation, laser spectroscopy and optical frequency measurements led…

Instrumental variable approaches have gained popularity for estimating causal effects in the presence of unmeasured confounders. However, the availability of instrumental variables in the primary dataset is often challenged due to stringent…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Shanshan Luo , Wei Li , Yangbo He

In some inferential statistical methods, such as tests and confidence intervals, it is important to describe the stochastic behavior of statistical functionals, aside from their large sample properties. We study such behavior in terms of…

统计理论 · 数学 2022-10-25 Tommaso Lando , Idir Arab , Paulo Eduardo Oliveira

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

统计方法学 · 统计学 2026-02-24 Shanshan Liu , Guoqing Diao

Although the existing causal inference literature focuses on the forward-looking perspective by estimating effects of causes, the backward-looking perspective can provide insights into causes of effects. In backward-looking causal…

统计理论 · 数学 2025-08-26 Chao Zhang , Zhi Geng , Wei Li , Peng Ding

In data analysis, unexpected results often prompt researchers to revisit their procedures to identify potential issues. While some researchers may struggle to identify the root causes, experienced researchers can often quickly diagnose…

统计方法学 · 统计学 2026-01-06 H. Sherry Zhang , Roger D. Peng

We propose a nonlinear difference-in-differences method to estimate multivariate counterfactual distributions in classical treatment and control study designs with observational data. Our approach sheds a new light on existing approaches…

统计方法学 · 统计学 2024-03-11 William Torous , Florian Gunsilius , Philippe Rigollet

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

统计方法学 · 统计学 2026-04-01 Eric Tong , Salvador V. Balkus

When estimating treatment effects, the golden standard is to conduct a randomized experiment and then contrast outcomes associated with the treatment group and the control group. However, in many cases, randomized experiments are either…

统计方法学 · 统计学 2023-06-08 Kevin Han

We propose a nonparametric test of spatial independence for data observed on irregular, non-lattice point clouds $\mathcal{V}_{n}\subset\mathbb{R}^{2}$. For each location $v\in\mathcal{V}_{n}$, we encode the local spatial configuration…

统计方法学 · 统计学 2026-03-24 Giorgio Micali , David Garnés-Galindo , Mariano Matilla-García , Manuel Ruiz-Marín

I review recent work in the statistics literature on instrumental variables methods from an econometrics perspective. I discuss some of the older, economic, applications including supply and demand models and relate them to the recent…

统计方法学 · 统计学 2014-10-02 Guido W. Imbens

Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider settings where the units of interest result in multiple…

统计方法学 · 统计学 2025-12-22 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Investigating the main determinants of the mechanical performance of metals is not a simple task. Already known physical inspired qualitative relations between 2D microstructure characteristics and 3D mechanical properties can act as the…

应用统计 · 统计学 2020-02-05 Martina Vittorietti , Javier Hidalgo , Jilt Sietsma , Wei Li , Geurt Jongbloed

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

统计方法学 · 统计学 2012-06-18 Manabu Kuroki , Zhihong Cai

Dispersion is a fundamental concept in statistics, yet standard approaches - especially via stochastic orders - face limitations in the discrete setting. In particular, the classical dispersive order, well-established for continuous…

统计方法学 · 统计学 2025-11-11 Andreas Eberl , Bernhard Klar , Alfonso Suárez-Llorens