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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

A generalized method of moments (GMM) estimator is unreliable for a large number of moment conditions, that is, it is comparable, or larger than the sample size. While classical GMM literature proposes several provisions to this problem,…

Computation · Statistics 2021-03-11 Masahiro Tanaka

We show that moment inequalities in a wide variety of economic applications have a particular linear conditional structure. We use this structure to construct uniformly valid confidence sets that remain computationally tractable even in…

Econometrics · Economics 2022-12-20 Isaiah Andrews , Jonathan Roth , Ariel Pakes

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , Weijie Su

Generalized empirical likelihood and generalized method of moments are well spread methods of resolution of inverse problems in econometrics. Each method defines a specific semiparametric model for which it is possible to calculate…

Statistics Theory · Mathematics 2010-11-24 Paul Rochet

This paper proposes confidence regions for the identified set in conditional moment inequality models using Kolmogorov-Smirnov statistics with a truncated inverse variance weighting with increasing truncation points. The new weighting…

Applications · Statistics 2011-12-06 Timothy B. Armstrong

Since Pearson [Philosophical Transactions of the Royal Society of London. A, 185 (1894), pp. 71-110] first applied the method of moments (MM) for modeling data as a mixture of one-dimensional Gaussians, moment-based estimation methods have…

Machine Learning · Computer Science 2025-07-29 Liu Zhang , Oscar Mickelin , Sheng Xu , Amit Singer

Inference and prediction under the sparsity assumption have been a hot research topic in recent years. However, in practice, the sparsity assumption is difficult to test, and more importantly can usually be violated. In this paper, to study…

Statistics Theory · Mathematics 2022-10-18 Yanmei Shi , Zhiruo Li , Qi Zhang

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

Methodology · Statistics 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

Important problems in causal inference, economics, and, more generally, robust machine learning can be expressed as conditional moment restrictions, but estimation becomes challenging as it requires solving a continuum of unconditional…

Machine Learning · Computer Science 2024-02-19 Heiner Kremer , Jia-Jie Zhu , Krikamol Muandet , Bernhard Schölkopf

We propose a simple test for moment inequalities that has exact size in normal models with known variance and has uniformly asymptotically exact size more generally. The test compares the quasi-likelihood ratio statistic to a chi-squared…

Econometrics · Economics 2020-08-19 Gregory Cox , Xiaoxia Shi

Permutation methods are commonly used to test significance of regressors of interest in general linear models (GLMs) for functional (image) data sets, in particular for neuroimaging applications as they rely on mild assumptions. Permutation…

Methodology · Statistics 2021-11-23 Tomas Mrkvicka , Mari Myllymaki , Mikko Kuronen , Naveen Naidu Narisetty

A natural way of handling imbalanced data is to attempt to equalise the class frequencies and train the classifier of choice on balanced data. For two-class imbalanced problems, the classification success is typically measured by the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Ludmila I. Kuncheva , Álvar Arnaiz-González , José-Francisco Díez-Pastor , Iain A. D. Gunn

We develop a generalized method of moments (GMM) approach for fast parameter estimation in a new class of Dirichlet latent variable models with mixed data types. Parameter estimation via GMM has been demonstrated to have computational and…

Statistics Theory · Mathematics 2016-03-24 Shiwen Zhao , Barbara E. Engelhardt , Sayan Mukherjee , David B. Dunson

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

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

Recently, a so-called E-MS algorithm was developed for model selection in the presence of missing data. Specifically, it performs the Expectation step (E step) and Model Selection step (MS step) alternately to find the minimum point of the…

Methodology · Statistics 2021-06-22 Ping-Feng Xu , Lai-Xu Shang , Man-Lai Tang , Na Shan , Guoliang Tian

This paper considers the problem of testing many moment inequalities, where the number of moment inequalities ($p$) is possibly larger than the sample size ($n$). Chernozhukov et al. (2019) proposed asymptotic tests for this problem using…

Statistics Theory · Mathematics 2020-06-09 Nick Koning , Paul Bekker

This paper studies the application of the generalized method of moments (GMM) to multi-reference alignment (MRA): the problem of estimating a signal from its circularly-translated and noisy copies. We begin by proving that the GMM estimator…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Asaf Abas , Tamir Bendory , Nir Sharon

This paper derives asymptotic approximations to the power of Cramer-von Mises (CvM) style tests for inference on a finite dimensional parameter defined by conditional moment inequalities in the case where the parameter is set identified.…

Applications · Statistics 2017-07-10 Timothy B. Armstrong