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In this article, we consider an imputation method to handle missing response values based on semiparametric quantile regression estimation. In the proposed method, the missing response values are generated using the estimated conditional…

Statistics Theory · Mathematics 2014-04-15 Senniang Chen , Cindy L Yu

This paper proposes a simple and efficient estimation procedure for the model with non-ignorable missing data studied by Morikawa and Kim (2016). Their semiparametrically efficient estimator requires explicit nonparametric estimation and so…

Methodology · Statistics 2018-01-15 Chunrong Ai , Oliver Linton , Zheng Zhang

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

Econometrics · Economics 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential…

Statistics Theory · Mathematics 2018-07-02 Alexandre Belloni , Federico Bugni , Victor Chernozhukov

This paper proposes a new approach to obtain uniformly valid inference for linear functionals or scalar subvectors of a partially identified parameter defined by linear moment inequalities. The procedure amounts to bootstrapping the value…

Econometrics · Economics 2023-05-09 JoonHwan Cho , Thomas M. Russell

We developed a statistical inference method applicable to a broad range of generalized linear models (GLMs) in high-dimensional settings, where the number of unknown coefficients scales proportionally with the sample size. Although a…

Statistics Theory · Mathematics 2024-05-24 Kazuma Sawaya , Yoshimasa Uematsu , Masaaki Imaizumi

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

Machine Learning · Statistics 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

In this paper, we develop a unified approach to study partial identification of a finite-dimensional parameter defined by a general moment model with incomplete data. We establish a novel characterization of the identified set for the true…

Econometrics · Economics 2025-10-03 Yanqin Fan , Hyeonseok Park , Brendan Pass , Xuetao Shi

Shape restrictions have played a central role in economics as both testable implications of theory and sufficient conditions for obtaining informative counterfactual predictions. In this paper we provide a general procedure for inference…

Statistics Theory · Mathematics 2022-04-29 Victor Chernozhukov , Whitney K. Newey , Andres Santos

Discrete-state stochastic models have become a well-established approach to describe biochemical reaction networks that are influenced by the inherent randomness of cellular events. In the last years severalmethods for accurately…

Molecular Networks · Quantitative Biology 2017-07-03 Alexander Lück , Verena Wolf

The generalized problem of moments is a conic linear optimization problem over the convex cone of positive Borel measures with given support. It has a large variety of applications, including global optimization of polynomials and rational…

Optimization and Control · Mathematics 2018-11-14 Etienne de Klerk , Monique Laurent

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Parameter estimation in linear errors-in-variables models typically requires that the measurement error distribution be known (or estimable from replicate data). A generalized method of moments approach can be used to estimate model…

Methodology · Statistics 2018-12-04 Linh Nghiem , Michael Byrd , Cornelis Potgieter

This paper develops valid bootstrap inference methods for the dynamic short panel threshold regression. We show that the standard nonparametric bootstrap is inconsistent for the first-differenced generalized method of moments (GMM)…

Econometrics · Economics 2025-11-18 Woosik Gong , Myung Hwan Seo

We develop a novel numerical bootstrap for unitary, crossing-symmetric conformal field theories, focusing on moment observables defined as weighted averages over conformal data. Providing a global and coarse-grained probe of the operator…

High Energy Physics - Theory · Physics 2026-03-20 Li-Yuan Chiang , David Poland , Gordon Rogelberg

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

Models phrased though moment conditions are central to much of modern inference. Here these moment conditions are embedded within a nonparametric Bayesian setup. Handling such a model is not probabilistically straightforward as the…

Methodology · Statistics 2016-01-14 Luke Bornn , Neil Shephard , Reza Solgi

In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

Methodology · Statistics 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

Identification in errors-in-variables regression models was recently extended to wide models classes by S. Schennach (Econometrica, 2007) (S) via use of generalized functions. In this paper the problems of non- and semi- parametric…

Methodology · Statistics 2009-09-30 Victoria Zinde-Walsh

We propose a bootstrap-based calibrated projection procedure to build confidence intervals for single components and for smooth functions of a partially identified parameter vector in moment (in)equality models. The method controls…

Statistics Theory · Mathematics 2024-07-03 Hiroaki Kaido , Francesca Molinari , Jörg Stoye
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