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Noncompliance and missing data often occur in randomized trials, which complicate the inference of causal effects. When both noncompliance and missing data are present, previous papers proposed moment and maximum likelihood estimators for…

统计方法学 · 统计学 2014-09-04 Hua Chen , Peng Ding , Zhi Geng , Xiao-Hua Zhou

With reference to a binary outcome and a binary mediator, we derive identification bounds for natural effects under a reduced set of assumptions. Specifically, no assumptions about confounding are made that involve the outcome; we only…

统计方法学 · 统计学 2026-04-03 Marco Doretti , Elena Stanghellini

In biomedical studies, researchers are often interested in assessing the association between one or more ordinal explanatory variables and an outcome variable, at the same time adjusting for covariates of any type. The outcome variable may…

统计方法学 · 统计学 2023-04-17 Kaspar Rufibach

Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks. We introduce two different ways how to compute the…

数值分析 · 数学 2021-04-28 Michael Schuster , Elisa Strauch , Martin Gugat , Jens Lang

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

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

Predictive or treatment selection biomarkers are usually evaluated in a subgroup or regression analysis with focus on the treatment-by-marker interaction. Under a potential outcome framework (Huang, Gilbert and Janes [Biometrics 68 (2012)…

应用统计 · 统计学 2015-02-04 Zhiwei Zhang , Lei Nie , Guoxing Soon , Aiyi Liu

The notion of probability plays an important role in almost all areas of science and technology. In modern mathematics, however, probability theory means nothing other than measure theory, and the operational characterization of the notion…

概率论 · 数学 2019-09-09 Kohtaro Tadaki

When implementing prediction models for high-stakes real-world applications such as medicine, finance, and autonomous systems, quantifying prediction uncertainty is critical for effective risk management. Traditional approaches to…

机器学习 · 统计学 2025-04-29 Junting Ren , Armin Schwartzman

In this paper we explore representations of temporal knowledge based upon the formalism of Causal Probabilistic Networks (CPNs). Two different ?continuous-time? representations are proposed. In the first, the CPN includes variables…

人工智能 · 计算机科学 2013-04-08 Carlo Berzuini , Riccardo Bellazzi , Silvana Quaglini

When assessing the causal effect of a binary exposure using observational data, confounder imbalance across exposure arms must be addressed. Matching methods, including propensity score-based matching, can be used to deconfound the causal…

统计方法学 · 统计学 2024-10-01 Ernesto Ulloa-Pérez , Marco Carone , Alex Luedtke

Real-time probability forecasts for binary outcomes are routine in sports, online experimentation, medicine, and finance. Retrospective narratives, however, often hinge on pathwise extremes: for example, a forecast that becomes "90%…

应用统计 · 统计学 2026-04-03 Jonathan Pipping-Gamón , Abraham J. Wyner

Causal inference of exact individual treatment outcomes in the presence of hidden confounders is rarely possible. Recent work has extended prediction intervals with finite-sample guarantees to partially identifiable causal outcomes, by…

机器学习 · 计算机科学 2023-11-02 Myrl G. Marmarelis , Greg Ver Steeg , Aram Galstyan , Fred Morstatter

Many legal cases require decisions about causality, responsibility or blame, and these may be based on statistical data. However, causal inferences from such data are beset by subtle conceptual and practical difficulties, and in general it…

统计理论 · 数学 2020-04-28 Philip Dawid , Monica Musio , Rossella Murtas

Conditional Neural Processes (CNP; Garnelo et al., 2018) are an attractive family of meta-learning models which produce well-calibrated predictions, enable fast inference at test time, and are trainable via a simple maximum likelihood…

机器学习 · 计算机科学 2021-10-19 Stratis Markou , James Requeima , Wessel Bruinsma , Richard Turner

We introduce the first probabilistic framework tailored for sequential random projection, an approach rooted in the challenges of sequential decision-making under uncertainty. The analysis is complicated by the sequential dependence and…

统计理论 · 数学 2024-05-14 Yingru Li

Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and robust transfer learning. However, existing methods such as…

统计理论 · 数学 2025-01-30 Yihong Gu , Cong Fang , Yang Xu , Zijian Guo , Jianqing Fan

We develop an algorithm for computing bounded reachability probability for hybrid systems, i.e., the probability that the system reaches an unsafe region within a finite number of discrete transitions. In particular, we focus on hybrid…

计算机科学中的逻辑 · 计算机科学 2015-05-13 Fedor Shmarov , Paolo Zuliani

We investigate the bounding problem of causal effects in experimental studies in which the outcome is truncated by death, meaning that the subject dies before the outcome can be measured. Causal effects cannot be point identified without…

统计方法学 · 统计学 2024-04-29 Aixian Chen , Xia Cui , Guangren Yang

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

统计方法学 · 统计学 2025-01-23 Joseph Feldman , Jerome P. Reiter