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We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

Methodology · Statistics 2025-12-09 Sijie Zheng

This article introduces a new instrumental variable approach for estimating unknown population parameters with data having nonrandom missing values. With coarse and discrete instruments, Shao and Wang (2016) proposed a semiparametric method…

Methodology · Statistics 2021-11-19 Arkaprabha Ganguli , David Todem

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…

Methodology · Statistics 2026-01-05 Ryan Martin

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

Methodology · Statistics 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

Methodology · Statistics 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

Nonparametric series regression often involves specification search over the tuning parameter, i.e., evaluating estimates and confidence intervals with a different number of series terms. This paper develops pointwise and uniform inferences…

Econometrics · Economics 2020-02-26 Byunghoon Kang

Whereas confidence intervals are used to assess uncertainty due to unmeasured individuals, confounding intervals can be used to assess uncertainty due to unmeasured attributes. Previously, we have introduced a methodology for computing…

Methodology · Statistics 2025-08-13 Brian Knaeble , R Mitchell Hughes

We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known compactly supported density g with a finite number…

Methodology · Statistics 2012-10-29 Anestis Antoniadis , Marianna Pensky , Theofanis Sapatinas

A model-assisted semiparametric method of estimating finite population totals is investigated to improve the precision of survey estimators by incorporating multivariate auxiliary information. The proposed superpopulation model is a…

Methodology · Statistics 2019-03-19 Lily Wang

Proxy pattern-mixture models (PPMM) have previously been proposed as a model-based framework for assessing the potential for nonignorable nonresponse in sample surveys and nonignorable selection in nonprobability samples. One defining…

Methodology · Statistics 2024-09-27 Seth Adarkwah Yiadom , Rebecca Andridge

We propose a semiparametric framework for causal inference with right-censored survival outcomes and many weak invalid instruments, motivated by Mendelian randomization in biobank studies where classical methods may fail. We adopt an…

Methodology · Statistics 2025-10-06 Qiushi Bu , Wen Su , Xingqiu Zhao , Zhonghua Liu

We present and study semi-parametric estimators for the mean of functional outcomes in situations where some of these outcomes are missing and covariate information is available on all units. Assuming that the missingness mechanism depends…

Statistics Theory · Mathematics 2026-02-25 Xijia Liu , Kreske Felix Ecker , Lina Schelin , Xavier de Luna

The paper discusses inference techniques for semiparametric models based on suitable versions of inference functions. The text contains two parts. In the first part, we review the optimality theory for non-parametric models based on the…

Statistics Theory · Mathematics 2020-11-17 Rodrigo Labouriau

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

Statistics Theory · Mathematics 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

Fully nonparametric methods for regression from functional data have poor accuracy from a statistical viewpoint, reflecting the fact that their convergence rates are slower than nonparametric rates for the estimation of high-dimensional…

Statistics Theory · Mathematics 2012-11-22 Dong Chen , Peter Hall , Hans-Georg Müller

In this paper we review important aspects of semiparametric theory and empirical processes that arise in causal inference problems. We begin with a brief introduction to the general problem of causal inference, and go on to discuss…

Statistics Theory · Mathematics 2016-07-25 Edward H. Kennedy

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

Methodology · Statistics 2026-02-19 Jianle Sun , Kun Zhang

We consider identification and inference about mean functionals of observed covariates and an outcome variable subject to nonignorable missingness. By leveraging a shadow variable, we establish a necessary and sufficient condition for…

Statistics Theory · Mathematics 2022-04-07 Wei Li , Wang Miao , Eric Tchetgen Tchetgen

The triple difference causal inference framework is an extension of the well-known difference-in-differences framework. It relaxes the parallel trends assumption of the difference-in-differences framework through leveraging data from an…

Econometrics · Economics 2025-09-17 Sina Akbari , Negar Kiyavash , AmirEmad Ghassami

To avoid specification of the error distribution in a regression model, we propose a general nonparametric scale mixture model for the error distribution. For fitting such mixtures, the predictive recursion method is a simple and…

Methodology · Statistics 2015-09-03 Ryan Martin , Zhen Han