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Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

统计理论 · 数学 2018-08-14 Michal Pešta , Martin Wendler

Temporal dependence and the resulting autocovariances in time series data can introduce bias into ANOVA test statistics, thereby affecting their size and power. This manuscript accounts for temporal dependence in ANOVA and develops a test…

统计理论 · 数学 2025-09-12 Yunyi Zhang

Identifying relationships among stochastic processes is a core objective in many fields, such as economics. While the standard toolkit for multivariate time series analysis has many advantages, it can be difficult to capture nonlinear…

统计方法学 · 统计学 2026-05-06 Michael Wieck-Sosa , Michel F. C. Haddad , Aaditya Ramdas

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality…

统计方法学 · 统计学 2026-03-13 Xichen Guo , Zheng Li , Biwei Huang , Yan Zeng , Zhi Geng , Feng Xie

The participants in randomized trials and other studies used for causal inference are often not representative of the populations seen by clinical decision-makers. To account for differences between populations, researchers may consider…

统计方法学 · 统计学 2022-07-12 Anders Huitfeldt , Sonja A. Swanson , Mats Julius Stensrud , Etsuji Suzuki

Certain causal models involving unmeasured variables induce no independence constraints among the observed variables but imply, nevertheless, inequality contraints on the observed distribution. This paper derives a general formula for such…

人工智能 · 计算机科学 2013-02-21 Judea Pearl

Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) are often complicated by the variances stemming from random effects and residuals. When these variances change across clusters, tests of…

统计方法学 · 统计学 2022-03-18 Ting Wang , Edgar C. Merkle , Joaquin A. Anguera , Brandon M. Turner

In this paper the testing of normality for unconditionally heteroscedastic macroeconomic time series is studied. It is underlined that the classical Jarque-Bera test (JB hereafter) for normality is inadequate in our framework. On the other…

统计方法学 · 统计学 2017-06-27 Hamdi Raïssi

We consider the problem of testing for long-range dependence in time-varying coefficient regression models, where the covariates and errors are locally stationary, allowing complex temporal dynamics and heteroscedasticity. We develop KPSS,…

统计理论 · 数学 2023-03-10 Lujia Bai , Weichi Wu

This paper uses model symmetries in the instrumental variable (IV) regression to derive an invariant test for the causal structural parameter. Contrary to popular belief, we show that there exist model symmetries when equation errors are…

统计理论 · 数学 2021-09-02 Marcelo J. Moreira , Mahrad Sharifvaghefi , Geert Ridder

Distinguishing causal connections from correlations is important in many scenarios. However, the presence of unobserved variables, such as the latent confounder, can introduce bias in conditional independence testing commonly employed in…

统计方法学 · 统计学 2024-05-03 Mingzhou Liu , Xinwei Sun , Yu Qiao , Yizhou Wang

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

计量经济学 · 经济学 2023-10-11 Zhenting Sun

In a spatial-temporal model, structural change and/or spatial heterogeneity can easily affect estimation of parameters. Following the spatial-temporal model in [1], we develop a nonparametric procedure for test-ing the presence of…

统计方法学 · 统计学 2021-07-07 Ruby Anne E. Lemence , Erniel B. Barrios

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

计量经济学 · 经济学 2026-05-20 Martin Huber , Jannis Kueck

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

统计方法学 · 统计学 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

统计方法学 · 统计学 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic

Causal inference studies whether the presence of a variable influences an observed outcome. As measured by quantities such as the "average treatment effect," this paradigm is employed across numerous biological fields, from vaccine and drug…

The tetrad constraint is widely used to test whether four observed variables are conditionally independent given a latent variable, based on the fact that if four observed variables following a linear model are mutually independent after…

统计方法学 · 统计学 2026-04-01 Naiwen Ying , Ping Zhang , Shanshan Luo , Wang Miao

This paper considers two-sided tests for the parameter of an endogenous variable in an instrumental variable (IV) model with heteroskedastic and autocorrelated errors. We develop the finite-sample theory of weighted-average power (WAP)…

统计理论 · 数学 2015-05-26 Humberto Moreira , Marcelo J. Moreira

We consider the problem of hypotheses testing with the basic simple hypothesis: observed sequence of points corresponds to stationary Poisson process with known intensity against a composite one-sided parametric alternative that this is a…

统计理论 · 数学 2007-06-13 Serguei Dachian , Yury A. Kutoyants