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We investigate the estimation of the causal effect of a treatment variable on an outcome in the presence of a latent confounder. We first show that the causal effect is identifiable under certain conditions when data is available from…

人工智能 · 计算机科学 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

This paper considers the problem of mismeasured categorical covariates in the context of regression modeling; if unaccounted for, such misclassification is known to result in misestimation of model parameters. Here, we exploit the fact that…

统计理论 · 数学 2017-04-28 P. Richard Hahn , Michelle Xia

We develop a structural framework for modeling and inferring unobserved heterogeneity in dynamic panel-data models. Unlike methods treating clustering as a descriptive device, we model heterogeneity as arising from a latent clustering…

计量经济学 · 经济学 2025-10-29 Jean-Pierre Florens , Anna Simoni

Latent variable models are used to estimate variables of interest quantities which are observable only up to some measurement error. In many studies, such variables are known but not precisely quantifiable (such as "job satisfaction" in…

机器学习 · 统计学 2012-10-19 Ricardo Silva

The covariance matrix is a foundation in numerous statistical and machine-learning applications such as Principle Component Analysis, Correlation Heatmap, etc. However, missing values within datasets present a formidable obstacle to…

We consider several estimation and learning problems that networked agents face when making decisions given their uncertainty about an unknown variable. Our methods are designed to efficiently deal with heterogeneity in both size and…

应用统计 · 统计学 2016-11-11 M. Amin Rahimian , Ali Jadbabaie

Where performance comparison of healthcare providers is of interest, characteristics of both patients and the health condition of interest must be balanced across providers for a fair comparison. This is unlikely to be feasible within…

统计方法学 · 统计学 2019-09-04 Wendy J. Harrison , Paul D. Baxter , Mark S. Gilthorpe

Federated learning (FL) has emerged as a promising approach to training machine learning models across decentralized data sources while preserving data privacy, particularly in manufacturing and shared production environments. However, the…

机器学习 · 计算机科学 2024-08-20 Tatjana Legler , Vinit Hegiste , Ahmed Anwar , Martin Ruskowski

Motivated by the study of pollution trends in the city of Bergen, we introduce a flexible statistical framework for modeling multivariate air pollution data via a nonhomogeneous Hidden Semi-Markov Vector Auto-Regression. The hidden process…

统计方法学 · 统计学 2025-09-19 Marco Mingione , Pierfrancesco Alaimo Di Loro , Francesco Lagona , Antonello Maruotti

Estimating treatment effects conditional on observed covariates can improve the ability to tailor treatments to particular individuals. Doing so effectively requires dealing with potential confounding, and also enough data to adequately…

Regression models describing the joint distribution of multivariate response variables conditional on covariate information have become an important aspect of contemporary regression analysis. However, a limitation of such models is that…

统计方法学 · 统计学 2023-06-27 Nadja Klein , Torsten Hothorn , Luisa Barbanti , Thomas Kneib

Consider a subject or unit in a longitudinal biomedical, public health, engineering, economic, or social science study which is being monitored over a possibly random duration. Over time this unit experiences competing recurrent events and…

统计方法学 · 统计学 2024-12-30 Lili Tong , Piaomu Liu , Edsel Pena

Mixtures of product distributions are a powerful device for learning about heterogeneity within data populations. In this class of latent structure models, de Finetti's mixing measure plays the central role for describing the uncertainty…

统计理论 · 数学 2021-09-27 Yun Wei , XuanLong Nguyen

Motivated by the analysis of accelerometer data, we introduce a specific finite mixture of hidden Markov models with particular characteristics that adapt well to the specific nature of this type of data. Our model allows for the…

统计方法学 · 统计学 2020-12-25 Marie du Roy de Chaumaray , Matthieu Marbac , Fabien Navarro

In modern data science, dynamic tensor data is prevailing in numerous applications. An important task is to characterize the relationship between such dynamic tensor and external covariates. However, the tensor data is often only partially…

机器学习 · 统计学 2021-05-17 Jie Zhou , Will Wei Sun , Jingfei Zhang , Lexin Li

Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

统计方法学 · 统计学 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

统计方法学 · 统计学 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

Regression models, in which the observed features $X \in \R^p$ and the response $Y \in \R$ depend, jointly, on a lower dimensional, unobserved, latent vector $Z \in \R^K$, with $K< p$, are popular in a large array of applications, and…

统计方法学 · 统计学 2021-03-04 Xin Bing , Florentina Bunea , Marten Wegkamp

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

应用统计 · 统计学 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber