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To estimate the causal effect of an endogenous treatment using clustered data, the canonical two-stage least squares (2sls) estimates a linear regression of the outcome on treatment status using an instrumental variable (IV) and conducts…

统计方法学 · 统计学 2026-04-03 Anqi Zhao , Peng Ding , Fan Li

Small sample sizes in clinical studies arises from factors such as reduced costs, limited subject availability, and the rarity of studied conditions. This creates challenges for accurately calculating confidence intervals (CIs) using the…

统计方法学 · 统计学 2025-11-11 Mulan Wu , Mengyu Xu , Dongyun Kim

Discontinuity in density functions is of economic importance and interest. For instance, in studies on regression discontinuity designs, discontinuity in the density of a running variable suggests violation of the no-manipulation…

统计理论 · 数学 2016-08-02 Benedikt Funke , Masayuki Hirukawa

Functional data analysis has been extensively conducted. In this study, we consider a partially functional model, under which some covariates are scalars and have linear effects, while some other variables are functional and have…

统计方法学 · 统计学 2023-01-11 Weijuan Liang , Qingzhao Zhang , Shuangge Ma

We study the least squares regression function estimator over the class of real-valued functions on $[0,1]^d$ that are increasing in each coordinate. For uniformly bounded signals and with a fixed, cubic lattice design, we establish that…

统计理论 · 数学 2017-09-01 Qiyang Han , Tengyao Wang , Sabyasachi Chatterjee , Richard J. Samworth

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

统计方法学 · 统计学 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

天体物理仪器与方法 · 物理学 2020-10-14 Adam B. Mantz

This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

计量经济学 · 经济学 2025-01-28 Masahiro Kato

We propose a new model selection criterion for mixed effects regression models that is computable when the model is fitted with a two-step method, even when the structure and the distribution of the random effects are unknown. The criterion…

统计方法学 · 统计学 2018-03-14 Radu V. Craiu , Thierry Duchesne

Hybrid type 2 studies are gaining popularity for their ability to assess both implementation and health outcomes as co-primary endpoints. Often conducted as cluster-randomized trials (CRTs), five design methods can validly power these…

统计方法学 · 统计学 2026-05-18 Melody Owen , Fan Li , Ruyi Liu , Donna Spiegelman

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

统计理论 · 数学 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

Stepped wedge cluster randomized trials (SW-CRTs) have become increasingly popular and are used for a variety of interventions and outcomes, often chosen for their feasibility advantages. SW-CRTs must account for time trends in the outcome…

统计方法学 · 统计学 2024-07-16 Lee Kennedy-Shaffer , Victor De Gruttola , Marc Lipsitch

Interference occurs when a unit's treatment (or exposure) affects another unit's outcome. In some settings, units may be grouped into clusters such that it is reasonable to assume that interference, if present, only occurs between…

统计方法学 · 统计学 2023-08-24 Chanhwa Lee , Donglin Zeng , Michael G. Hudgens

In large observational studies, the case-cohort design is commonly used to reduce the cost associated with covariate measurement. For survival outcomes, literature has suggested that the restricted mean survival time (RMST) be a more…

统计方法学 · 统计学 2026-05-08 Andy Ni , Wei-En Lu , Bo Lu

Click-Through Rate (CTR) prediction is a pivotal task in product and content recommendation, where learning effective feature embeddings is of great significance. However, traditional methods typically learn fixed feature representations…

信息检索 · 计算机科学 2023-09-06 Chen Zhu , Liang Du , Hong Chen , Shuang Zhao , Zixun Sun , Xin Wang , Wenwu Zhu

We extend the wavelet tests for fixed effects FANOVA models with iid errors, proposed in Abramovich et al, 2004 to FANOVA models with dependent errors and provide an iterative Cochrane-Orcutt type procedure to estimate the parameters and…

统计方法学 · 统计学 2015-11-03 Airton Kist , Aluisio Pinheiro

Linear mixed models are commonly used in analyzing stepped-wedge cluster randomized trials (SW-CRTs). A key consideration for analyzing a SW-CRT is accounting for the potentially complex correlation structure, which can be achieved by…

统计方法学 · 统计学 2024-08-21 Yongdong Ouyang , Monica Taljaard , Andrew B Forbes , Fan Li

Pragmatic trials evaluating health care interventions often adopt cluster randomization due to scientific or logistical considerations. Previous reviews have shown that co-primary endpoints are common in pragmatic trials but infrequently…

统计方法学 · 统计学 2022-05-03 Siyun Yang , Mirjam Moerbeek , Monica Taljaard , Fan Li

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

数学物理 · 物理学 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras