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Different disciplines pursue the aim to develop models which characterize certain phenomena as accurately as possible. Climatology is a prime example, where the temporal evolution of the climate is modeled. In order to compare and improve…

统计方法学 · 统计学 2017-02-03 T. M. Erhardt , C. Czado , T. L. Thorarinsdottir

Most of the stochastic orders for comparing random variables, considered in the literature, are afflicted with two main drawbacks: (i) lack of connex property and (ii) lack of consideration of any dependence structure between the random…

统计方法学 · 统计学 2021-03-03 Sugata Ghosh , Asok K. Nanda

This article deals with the problem of testing conditional independence between two random vectors ${\bf X}$ and ${\bf Y}$ given a confounding random vector ${\bf Z}$. Several authors have considered this problem for multivariate data.…

统计理论 · 数学 2025-09-16 Bilol Banerjee

Graphical models provide a framework for exploration of multivariate dependence patterns. The connection between graph and statistical model is made by identifying the vertices of the graph with the observed variables and translating the…

统计理论 · 数学 2008-02-08 Mathias Drton , Michael D. Perlman

We report results of an investigation of relativistic causality constraints on the measurability of nonlocal variables. We show that measurability of certain nondegenerate variables with entangled eigenstates contradicts the principle of…

高能物理 - 理论 · 物理学 2007-05-23 Lev Vaidman

The presence of latent variables can greatly complicate inferences about causal relations between measured variables from statistical data. In many cases, the presence of latent variables makes it impossible to determine for two measured…

人工智能 · 计算机科学 2013-03-26 Peter L. Spirtes

In many statistical modeling frameworks, goodness-of-fit tests are typically administered to the estimated residuals. In the time series setting, whiteness of the residuals is assessed using the sample autocorrelation function. For many…

统计理论 · 数学 2019-03-05 Phyllis Wan , Richard A. Davis

We propose a counterfactual approach to train ``causality-aware" predictive models that are able to leverage causal information in static anticausal machine learning tasks (i.e., prediction tasks where the outcome influences the features).…

应用统计 · 统计学 2020-12-01 Elias Chaibub Neto

We study the data-driven selection of causal graphical models using constraint-based algorithms, which determine the existence or non-existence of edges (causal connections) in a graph based on testing a series of conditional independence…

统计方法学 · 统计学 2026-04-29 Daniel Malinsky

We consider the problem of sequentially testing for changes in the mean parameter of a time series, compared to a benchmark period. Most tests in the literature focus on the null hypothesis of a constant mean versus the alternative of a…

统计方法学 · 统计学 2025-09-23 Patrick Bastian , Tim Kutta , Rupsa Basu , Holger Dette

The goal of Causal Discovery is to find automated search methods for learning causal structures from observational data. In some cases all variables of the interested causal mechanism are measured, and the task is to predict the effects one…

机器学习 · 统计学 2024-01-11 Shuyan Wang

We introduce a novel class of nonlinear tests for serial dependence in functional time series, grounded in the functional quantile autocorrelation framework. Unlike traditional approaches based on the classical autocovariance kernel, the…

统计方法学 · 统计学 2026-05-12 Ángel López-Oriona , Ying Sun , Hanlin Shang

The validity of instrumental variable (IV) designs is typically tested using two types of falsification tests. We characterize these tests as conditional independence tests between negative control variables -- proxies for unobserved…

计量经济学 · 经济学 2025-04-29 Oren Danieli , Daniel Nevo , Itai Walk , Bar Weinstein , Dan Zeltzer

This paper proposes new specification tests for conditional models with discrete responses, which are key to apply efficient maximum likelihood methods, to obtain consistent estimates of partial effects and to get appropriate predictions of…

统计理论 · 数学 2018-02-01 Igor Kheifets , Carlos Velasco

In prior work we have introduced an asymptotic threshold of sufficient randomness for causal inference from observational data. In this paper we extend that prior work in three main ways. First, we show how to empirically estimate a lower…

统计方法学 · 统计学 2023-09-07 Brian Knaeble , Braxton Osting , Placede Tshiaba

It is a common saying that testing for conditional independence, i.e., testing whether whether two random vectors $X$ and $Y$ are independent, given $Z$, is a hard statistical problem if $Z$ is a continuous random variable (or vector). In…

统计理论 · 数学 2022-03-25 Rajen D. Shah , Jonas Peters

Categorical variables are of uttermost importance in biomedical research. When two of them are considered, it is often the case that one wants to test whether or not they are statistically dependent. We show weaknesses of classical methods…

We propose a general new method, the conditional permutation test, for testing the conditional independence of variables $X$ and $Y$ given a potentially high-dimensional random vector $Z$ that may contain confounding factors. The proposed…

统计方法学 · 统计学 2019-05-08 Thomas B. Berrett , Yi Wang , Rina Foygel Barber , Richard J. Samworth

Hazard ratios are prone to selection bias, compromising their use as causal estimands. On the other hand, the hazard difference has been shown to remain unaffected by the selection of frailty factors over time. Therefore, observed hazard…

统计理论 · 数学 2022-11-01 Richard Post , Edwin van den Heuvel , Hein Putter

Recovering causal structure in the presence of latent variables is an important but challenging task. While many methods have been proposed to handle it, most of them require strict and/or untestable assumptions on the causal structure. In…

机器学习 · 计算机科学 2025-10-28 Wei Chen , Linjun Peng , Zhiyi Huang , Haoyue Dai , Zhifeng Hao , Ruichu Cai , Kun Zhang
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