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Approximate vanishing ideal is a concept from computer algebra that studies the algebraic varieties behind perturbed data points. To capture the nonlinear structure of perturbed points, the introduction of approximation to exact vanishing…

机器学习 · 统计学 2019-11-11 Hiroshi Kera , Yoshihiko Hasegawa

Randomized experiments are the gold standard for estimating treatment effects, and randomization serves as a reasoned basis for inference. In widely used stratified randomized experiments, randomization-based finite-population asymptotic…

统计理论 · 数学 2026-05-20 Haoyang Yu , Ke Zhu , Hanzhong Liu

Instrumental variable approaches have gained popularity for estimating causal effects in the presence of unmeasured confounders. However, the availability of instrumental variables in the primary dataset is often challenged due to stringent…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Shanshan Luo , Wei Li , Yangbo He

In many medical studies, an ultimate failure event such as death is likely to be affected by the occurrence and timing of other intermediate clinical events. Both event times are subject to censoring by loss-to-follow-up but the nonterminal…

统计方法学 · 统计学 2021-01-18 Fei Gao , Fan Xia , Kwun Chuen Gary Chan

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

In many observational studies in social science and medicine, subjects or units are connected, and one unit's treatment and attributes may affect another's treatment and outcome, violating the stable unit treatment value assumption (SUTVA)…

统计方法学 · 统计学 2024-06-25 Zhaonan Qu , Ruoxuan Xiong , Jizhou Liu , Guido Imbens

This paper investigates the simultaneous identification of a spatially dependent potential and the initial condition in a subdiffusion model based on two terminal observations. The existence, uniqueness, and conditional stability of the…

数值分析 · 数学 2025-10-28 Xu Wu , Jiang Yang , Zhi Zhou

When a parameter of interest is nondifferentiable in the probability, the existing theory of semiparametric efficient estimation is not applicable, as it does not have an influence function. Song (2014) recently developed a local asymptotic…

统计理论 · 数学 2014-03-12 Kyungchul Song

We provide new results for nonparametric identification, estimation, and inference of causal effects using `proxy controls': observables that are noisy but informative proxies for unobserved confounding factors. Our analysis applies to…

计量经济学 · 经济学 2023-11-22 Ben Deaner

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

统计方法学 · 统计学 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

We study the large sample properties of sparse M-estimators in the presence of pseudo-observations. Our framework covers a broad class of semi-parametric copula models, for which the marginal distributions are unknown and replaced by their…

统计理论 · 数学 2023-06-01 Jean-David Fermanian , Benjamin Poignard

Constructing an efficient parameterization of a large, noisy data set of points lying close to a smooth manifold in high dimension remains a fundamental problem. One approach consists in recovering a local parameterization using the local…

数据分析、统计与概率 · 物理学 2013-12-09 Daniel N. Kaslovsky , Francois G. Meyer

Post-stratification is frequently used to improve the precision of survey estimators when categorical auxiliary information is available from sources outside the survey. In natural resource surveys, such information is often obtained from…

统计理论 · 数学 2008-12-18 F. Jay Breidt , Jean D. Opsomer

In estimating the average treatment effect in observational studies, the influence of confounders should be appropriately addressed. To this end, the propensity score is widely used. If the propensity scores are known for all the subjects,…

统计方法学 · 统计学 2023-12-08 Chengyao Tang , Yi Zhou , Ao Huang , Satoshi Hattori

Estimating causal effects with propensity scores relies upon the availability of treated and untreated units observed at each value of the estimated propensity score. In settings with strong confounding, limited so-called "overlap" in…

统计方法学 · 统计学 2017-10-25 Corwin M Zigler , Matthew Cefalu

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

统计方法学 · 统计学 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

A vast amount of expert and domain knowledge is captured by causal structural priors, yet there has been little research on testing such priors for generalization and data synthesis purposes. We propose a novel model architecture, Causal…

机器学习 · 计算机科学 2022-11-08 Jeffrey Jiang , Omead Pooladzandi , Sunay Bhat , Gregory Pottie

Inferring causal effects of continuous-valued treatments from observational data is a crucial task promising to better inform policy- and decision-makers. A critical assumption needed to identify these effects is that all confounding…

To estimate casual treatment effects, we propose a new matching approach based on the reduced covariates obtained from sufficient dimension reduction. Compared to the original covariates and the propensity score, which are commonly used for…

统计方法学 · 统计学 2017-02-03 Wei Luo , Yeying Zhu

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

统计方法学 · 统计学 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman