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Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

统计理论 · 数学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

Causal inference from observational data provides strong evidence for the best action in decision-making without performing expensive randomized trials. The effect of an action is usually not identifiable under unobserved confounding, even…

机器学习 · 计算机科学 2026-02-02 Md Musfiqur Rahman , Ziwei Jiang , Hilaf Hasson , Murat Kocaoglu

We consider a Bayesian hierarchical version of the normal theory general linear model which is practically relevant in the sense that it is general enough to have many applications and it is not straightforward to sample directly from the…

统计计算 · 统计学 2010-01-22 Alicia A. Johnson , Galin L. Jones

This article proposes an inferential framework for comparing predictor importance in classification problems with categorical response variables. The approach is based on the categorical Gini correlation (CGC) proposed by Dang et al.…

统计方法学 · 统计学 2026-05-19 Sameera Hewage , Yongli Sang

The ICH E9(R1) Addendum (International Council for Harmonization 2019) suggests treatment-policy as one of several strategies for addressing intercurrent events such as treatment withdrawal when defining an estimand. This strategy requires…

统计方法学 · 统计学 2023-08-28 Suzie Cro , James H Roger , James R Carpenter

Understanding treatment effect heterogeneity is important for decision making in medical and clinical practices, or handling various engineering and marketing challenges. When dealing with high-dimensional covariates or when the effect…

The treatment effect in a specific subgroup is often of interest in randomized clinical trials. When the subgroup is characterized by the absence of certain post-randomization events, a naive analysis on the subset of patients without these…

应用统计 · 统计学 2018-09-12 Baldur P. Magnusson , Heinz Schmidli , Nicolas Rouyrre , Daniel O. Scharfstein

The difference-in-differences (DID) design is one of the most popular methods used in empirical economics research. However, there is almost no work examining what the DID method identifies in the presence of a misclassified treatment…

计量经济学 · 经济学 2026-05-01 Augustine Denteh , Désiré Kédagni

Solving ill-posed inverse problems by Bayesian inference has recently attracted considerable attention. Compared to deterministic approaches, the probabilistic representation of the solution by the posterior distribution can be exploited to…

数值分析 · 数学 2016-11-03 Felix Lucka

When estimating causal effects from observational studies, researchers often need to adjust for many covariates to deconfound the non-causal relationship between exposure and outcome, among which many covariates are discrete. The behavior…

统计理论 · 数学 2024-05-07 Zhenghao Zeng , Sivaraman Balakrishnan , Yanjun Han , Edward H. Kennedy

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

统计方法学 · 统计学 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

In this article, we consider identification, estimation, and inference procedures for treatment effect parameters using Difference-in-Differences (DiD) with (i) multiple time periods, (ii) variation in treatment timing, and (iii) when the…

计量经济学 · 经济学 2020-12-02 Brantly Callaway , Pedro H. C. Sant'Anna

Tolerance intervals provide bounds that contain a specified proportion of a population with a given confidence level, yet their construction remains challenging when parametric assumptions fail or sample sizes are small. Traditional…

统计方法学 · 统计学 2026-03-12 Tony Pourmohamad , Robert Richardson , Bruno Sansó

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

机器学习 · 计算机科学 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra

We investigate the high-probability estimation of discrete distributions from an \iid sample under $\chi^2$-divergence loss. Although the minimax risk in expectation is well understood, its high-probability counterpart remains largely…

统计理论 · 数学 2025-10-30 Sirine Louati

When prior information is lacking, the go-to strategy for probabilistic inference is to combine a "default prior" and the likelihood via Bayes's theorem. Objective Bayes, (generalized) fiducial inference, etc. fall under this umbrella. This…

统计方法学 · 统计学 2026-01-05 Ryan Martin

G-computation is a powerful method for estimating unconditional treatment effects with covariate adjustment in randomized clinical trials. It typically relies on fitting canonical generalized linear models. However, this could be…

统计方法学 · 统计学 2025-09-10 Xin Zhang , Lin Liu , Haitao Chu

External information, such as prior information or expert opinions, can play an important role in the design, analysis and interpretation of clinical trials. However, little attention has been devoted thus far to incorporating external…

应用统计 · 统计学 2013-04-24 Minge Xie , Regina Y. Liu , C. V. Damaraju , William H. Olson

A researcher is interested in what sample size is needed to get the required significance of the same test, assuming exactly the same situation that was in the study with the non-significant result. We propose a simple solution to the…

统计方法学 · 统计学 2022-10-31 I. Novikov , I. Tessler , A. Yakirevich

A general methodology is introduced for the construction and effective application of control variates to estimation problems involving data from reversible MCMC samplers. We propose the use of a specific class of functions as control…

统计计算 · 统计学 2010-08-10 Petros Dellaportas , Ioannis Kontoyiannis
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