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Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

Sequential estimators are proposed for the relative risk, odds ratio, log relative risk or log odds ratio of a dichotomous attribute in two populations. The estimators take the same number of observations from each population, and guarantee…

统计方法学 · 统计学 2026-04-07 Luis Mendo

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

In observational studies, the identification of causal estimands depends on the no unmeasured confounding (NUC) assumption. As this assumption is not testable from observed data, sensitivity analysis plays an important role in observational…

统计方法学 · 统计学 2023-09-28 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

Causal inference necessarily relies upon untestable assumptions; hence, it is crucial to assess the robustness of obtained results to violations of identification assumptions. However, such sensitivity analysis is only occasionally…

统计方法学 · 统计学 2025-05-19 Tobias Freidling , Qingyuan Zhao

Difference-in-differences (DiD) is one of the most popular approaches for empirical research in economics, political science, and beyond. Identification in these models is based on the conditional parallel trends assumption: In the absence…

计量经济学 · 经济学 2025-10-13 Philipp Bach , Sven Klaassen , Jannis Kueck , Mara Mattes , Martin Spindler

The pervasive use of prevalent cohort studies on disease duration, increasingly calls for appropriate methodologies to account for the biases that invariably accompany samples formed by such data. It is well-known, for example, that…

统计理论 · 数学 2013-11-07 Ashkan Ertefaie , Masoud Asgharian , David Stephens

By means of the techniques of Boolean valued analysis, we provide a transfer principle between duality theory of classical convex risk measures and duality theory of conditional risk measures. Namely, a conditional risk measure can be…

泛函分析 · 数学 2019-10-09 José Miguel Zapata

In observational causal inference, in order to emulate a randomized experiment, weights are used to render treatments independent of observed covariates. This property is known as balance; in its absence, estimated causal effects may be…

统计方法学 · 统计学 2020-07-16 David Arbour , Drew Dimmery , Arjun Sondhi

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

机器学习 · 统计学 2026-03-18 Saksham Jain , Alex Luedtke

In this paper, a new method of detection of election fraud is proposed. This method is based on the calculation of the ratio of two standard normal random variables; estimation of parameters of obtained sample and comparison of these…

统计方法学 · 统计学 2022-09-20 Ivan H. Krykun

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

统计方法学 · 统计学 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

Many applications of causal inference require using treatment effects estimated on a study population to make decisions in a separate target population. We consider the challenging setting where there are covariates that are observed in the…

机器学习 · 计算机科学 2024-10-22 Khurram Yamin , Vibhhu Sharma , Ed Kennedy , Bryan Wilder

One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

统计方法学 · 统计学 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

Researchers are often interested in analyzing conditional treatment effects. One variant of this is "causal moderation," which implies that intervention upon a third (moderator) variable would alter the treatment effect. This study…

统计方法学 · 统计学 2020-08-25 Kirk Bansak

Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

统计方法学 · 统计学 2011-08-03 Xiaoru Wu , Zhiliang Ying

Stratifying factors, like age and gender, can modify the effect of treatments and exposures on risk of a studied outcome. Several effect measures, including the relative risk, hazard ratio, odds ratio, and risk difference, can be used to…

统计方法学 · 统计学 2021-11-05 Jake Shannin , Babette A. Brumback

Selection bias is a major obstacle toward valid causal inference in epidemiology. Over the past decade, several graphical rules based on causal diagrams have been proposed as the sufficient identification conditions for addressing selection…

统计方法学 · 统计学 2025-12-18 Yichi Zhang , Haidong Lu

Ratios of random variables often appear in probability and statistical applications. We aim to approximate the moments of such ratios under several dependence assumptions. Extending the ideas in Collomb [C. R. Acad. Sci. Paris 285 (1977)…

统计理论 · 数学 2010-01-14 Paul Doukhan , Gabriel Lang

An observational study may be biased for estimating causal effects by failing to control for unmeasured confounders. This paper proposes a new quantity called the "sensitivity value", which is defined as the minimum strength of unmeasured…

统计方法学 · 统计学 2017-05-24 Qingyuan Zhao