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Pattern-mixture models provide a transparent approach for handling missing data, where the full-data distribution is factorized in a way that explicitly shows the parts that can be estimated from observed data alone, and the parts that…

Methodology · Statistics 2019-04-26 Yen-Chi Chen , Mauricio Sadinle

This paper considers nonparametric estimation and inference in first-order autoregressive (AR(1)) models with deterministically time-varying parameters. A key feature of the proposed approach is to allow for time-varying stationarity in…

Econometrics · Economics 2024-11-04 Donald W. K. Andrews , Ming Li

This paper develops distribution theory and bootstrap-based inference methods for a broad class of convex pairwise difference estimators. These estimators minimize a kernel-weighted convex-in-parameter function over observation pairs with…

Econometrics · Economics 2026-05-29 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

Deciding which predictors to use plays an integral role in deriving statistical models in a wide range of applications. Motivated by the challenges of predicting events across a telecommunications network, we propose a semi-automated, joint…

Methodology · Statistics 2020-01-10 Aaron Lowther , Paul Fearnhead , Matthew Nunes , Kjeld Jensen

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

Methodology · Statistics 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

We develop semiparametrically efficient inference for kernel measures of noise heterogeneity in additive noise models. In many applications, the regression function is estimated using flexible machine learning methods. Downstream procedures…

Machine Learning · Statistics 2026-05-28 Jakub Wornbard , Zikai Shen , Dimitri Meunier , Arthur Gretton

This article focuses on the coherent forecasting of the recently introduced novel geometric AR(1) (NoGeAR(1)) model - an INAR model based on inflated - parameter binomial thinning approach. Various techniques are available to achieve h -…

Methodology · Statistics 2024-09-30 Divya Kuttenchalil Andrews , N. Balakrishna

Compartmental models, especially the Susceptible-Infected-Removed (SIR) model, have long been used to understand the behaviour of various diseases. Allowing parameters, such as the transmission rate, to be time-dependent functions makes it…

Methodology · Statistics 2024-09-27 Son Luu , Edward Susko , Lam Si Tung Ho

In this article, we propose the mutual influence regression model (MIR) to establish the relationship between the mutual influence matrix of actors and a set of similarity matrices induced by their associated attributes. This model is able…

Methodology · Statistics 2022-05-17 Xinyan Fan , Wei Lan , Tao Zou , Chih-Ling Tsai

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

Statistics Theory · Mathematics 2024-04-19 Zhou Tang , Ted Westling

This paper investigates the accuracy of bootstrap-based inference in the case of long memory fractionally integrated processes. The re-sampling method is based on the semi-parametric sieve approach, whereby the dynamics in the process used…

Methodology · Statistics 2016-03-08 D. S. Poskitt , Simone D. Grose , Gael M. Martin

The non-linear autoregressive (NLAR) model plays an important role in modeling and predicting time series. One-step ahead prediction is straightforward using the NLAR model, but the multi-step ahead prediction is cumbersome. For instance,…

Methodology · Statistics 2023-06-08 Kejin Wu , Dimitris N. Politis

This paper provides a specification test for semiparametric models with nonparametrically generated regressors. Such variables are not observed by the researcher but are nonparametrically identified and estimable. Applications of the test…

Econometrics · Economics 2023-10-26 Elia Lapenta

Estimating the innovation probability density is an important issue in any regression analysis. This paper focuses on functional autoregressive models. A residual-based kernel estimator is proposed for the innovation density. Asymptotic…

Methodology · Statistics 2010-05-07 Nadine Hilgert , Bruno Portier

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

Recently, Su and Cook proposed a dimension reduction technique called the inner envelope which can be substantially more efficient than the original envelope or existing dimension reduction techniques for multivariate regression. However,…

Methodology · Statistics 2022-05-25 Linquan Ma , Hyunseung Kang , Lan Liu

The maximum likelihood estimator in nonlinear panel data models with interactive fixed effects is biased. Several bias correction methods, such as analytical and jackknife approaches, have been proposed to enable valid inference. This paper…

Econometrics · Economics 2026-04-30 Haoyuan Xu , Wei Miao , Geert Dhaene , Jad Beyhum

The bootstrap is a popular and convenient method for quantifying the authority of an empirical ordering of attributes, for example of a ranking of the performance of institutions or of the influence of genes on a response variable. In the…

Statistics Theory · Mathematics 2009-11-20 Peter Hall , Hugh Miller

Many statistical estimands of interest (e.g., in regression or causality) are functions of the joint distribution of multiple random variables. But in some applications, data is not available that measures all random variables on each…

Methodology · Statistics 2025-02-11 Yicong Jiang , Lucas Janson

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran