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In this paper, we study inference for high-dimensional data characterized by small sample sizes relative to the dimension of the data. In particular, we provide an infinite-dimensional framework to study statistical models that involve…

统计理论 · 数学 2010-02-25 Jim Kuelbs , Anand N. Vidyashankar

Clustering methods are a valuable tool for the identification of patterns in high dimensional data with applications in many scientific problems. However, quantifying uncertainty in clustering is a challenging problem, particularly when…

统计方法学 · 统计学 2018-06-01 Marcio Valk , Gabriela Bettella Cybis

Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals…

应用统计 · 统计学 2020-12-24 Youjin Lee , Trang Q. Nguyen , Elizabeth A. Stuart

We develop a clustering framework for observations from a population with a smooth probability distribution function and derive its asymptotic properties. A clustering criterion based on a linear combination of order statistics is proposed.…

统计理论 · 数学 2013-04-16 Karthik Bharath , Vladimir Pozdnyakov , Dipak K Dey

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

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

统计方法学 · 统计学 2020-02-04 Edward H. Kennedy

This paper develops a general asymptotic theory for nonparametric kernel regression in the presence of cluster dependence. We examine nonparametric density estimation, Nadaraya-Watson kernel regression, and local linear estimation. Our…

计量经济学 · 经济学 2024-12-31 Yuya Shimizu

Interference arises when the treatment assigned to one individual affects the outcomes of other individuals. Commonly, individuals are naturally grouped into clusters, and interference occurs only among individuals within the same cluster,…

统计方法学 · 统计学 2026-04-15 Chao Cheng , Fan Li

There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

统计理论 · 数学 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

This paper presents and analyzes an approach to cluster-based inference for dependent data. The primary setting considered here is with spatially indexed data in which the dependence structure of observed random variables is characterized…

统计理论 · 数学 2022-11-16 Jianfei Cao , Christian Hansen , Damian Kozbur , Lucciano Villacorta

The Mann-Whitney effect is an effect measure for the order of two sample-specific outcome variables. It has the interpretation of a probability and also a connection to the area under the ROC curve. In the literature it has been considered…

统计方法学 · 统计学 2026-04-02 Dennis Dobler , Alina Schenk , Matthias Schmid

Conformal prediction, which makes no distributional assumptions about the data, has emerged as a powerful and reliable approach to uncertainty quantification in practical applications. The nonconformity measure used in conformal prediction…

机器学习 · 计算机科学 2024-10-15 Yuko Kato , David M. J. Tax , Marco Loog

This paper studies analytic inference along two dimensions of clustering. In such setups, the commonly used approach has two drawbacks. First, the corresponding variance estimator is not necessarily positive. Second, inference is invalid in…

计量经济学 · 经济学 2026-02-20 Laurent Davezies , Xavier D'Haultfœuille , Yannick Guyonvarch

High-dimensional longitudinal data have become increasingly prevalent in recent studies, and penalized generalized estimating equations (GEEs) are often used to model such data. However, the desirable properties of the GEE method can break…

统计方法学 · 统计学 2025-01-03 Yue Ma , Haofeng Wang , Xuejun Jiang

It is usual to rely on the quasi-likelihood methods for deriving statistical methods applied to clustered multinomial data with no underlying distribution. Even though extensive literature can be encountered for these kind of data sets,…

统计方法学 · 统计学 2015-10-21 Juana María Alonso , Nirian Martín , Leandro Pardo

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

A cluster tree provides a highly-interpretable summary of a density function by representing the hierarchy of its high-density clusters. It is estimated using the empirical tree, which is the cluster tree constructed from a density…

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

统计方法学 · 统计学 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

计量经济学 · 经济学 2022-01-11 Ruoxuan Xiong , Markus Pelger

Inferring treatment effects on a survival time outcome based on data from an observational study is challenging due to the presence of censoring and possible confounding. An additional challenge occurs when a unit's treatment affects the…

统计方法学 · 统计学 2025-08-13 Chanhwa Lee , Donglin Zeng , Michael Emch , John D. Clemens , Michael G. Hudgens