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This paper proposes averaging estimation methods to improve the finite-sample efficiency of the instrumental variables quantile regression (IVQR) estimation. First, I apply Cheng, Liao, Shi's (2019) averaging GMM framework to the IVQR…

Econometrics · Economics 2024-05-10 Xin Liu

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

In distributed, or privacy-preserving learning, we are often given a set of probabilistic models estimated from different local repositories, and asked to combine them into a single model that gives efficient statistical estimation. A…

Machine Learning · Statistics 2017-03-01 Jun Han , Qiang Liu

We consider the problem of estimating the common mean of independently sampled data, where samples are drawn in a possibly non-identical manner from symmetric, unimodal distributions with a common mean. This generalizes the setting of…

Statistics Theory · Mathematics 2019-07-09 Ankit Pensia , Varun Jog , Po-Ling Loh

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

In capture-recapture experiments, individual covariates may be subject to missing, especially when the number of times of being captured is small. When the covariate information is missing at random, the inverse probability weighting method…

Methodology · Statistics 2025-07-22 Yang Liu , Yukun Liu , Pengfei Li , Jing Qin , Lin Zhu

This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional applications are covered: (1) uniform confidence band for…

Statistics Theory · Mathematics 2014-08-12 Xianyang Zhang , Guang Cheng

It is well known that the asymptotic variance of sample quantiles can be reduced under heterogeneity relative to the i.i.d. setting. However, asymptotically correct confidence intervals for quantiles are not yet available. We propose a…

Statistics Theory · Mathematics 2026-01-27 John H. J. Einmahl , Yi He

In the analysis of survey data it is of interest to estimate and quantify uncertainty about means or totals for each of several non-overlapping subpopulations, or areas. When the sample size for a given area is small, standard confidence…

Methodology · Statistics 2018-09-26 Kyle Burris , Peter Hoff

We propose simple formulas of confidence intervals for the Wald statistic, likelihood ratio statistic, and score statistic for a network meta-analysis. In addition, we consider resolutions for concerns that network meta-analyses with a…

Methodology · Statistics 2022-01-12 Masahiro Kojima

Line transect sampling is a method used to estimate wildlife populations, with the resulting data often grouped in intervals. Estimating the density from grouped data can be challenging. In this paper we propose a kernel density estimator…

Applications · Statistics 2010-11-10 Woncheol Jang , Ji Meng Loh

Worker quality control is a crucial aspect of crowdsourcing systems; typically occupying a large fraction of the time and money invested on crowdsourcing. In this work, we devise techniques to generate confidence intervals for worker error…

Databases · Computer Science 2014-11-25 Manas Joglekar , Hector Garcia-Molina , Aditya Parameswaran

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 Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

Combinatorics · Mathematics 2022-02-01 Grant Kopitzke

The existing theory of penalized quantile regression for longitudinal data has focused primarily on point estimation. In this work, we investigate statistical inference. We propose a wild residual bootstrap procedure and show that it is…

Econometrics · Economics 2022-05-10 Carlos Lamarche , Thomas Parker

Spectral analysis plays a crucial role in high-dimensional statistics, where determining the asymptotic distribution of various spectral statistics remains a challenging task. Due to the difficulties of deriving the analytic form, recent…

Statistics Theory · Mathematics 2025-04-02 Guoyu Zhang , Dandan Jiang , Fang Yao

High-dimensional group inference is an essential part of statistical methods for analysing complex data sets, including hierarchical testing, tests of interaction, detection of heterogeneous treatment effects and inference for local…

Methodology · Statistics 2020-12-01 Zijian Guo , Claude Renaux , Peter Bühlmann , T. Tony Cai

Estimating income distributions plays an important role in the measurement of inequality and poverty over space. The existing literature on income distributions predominantly focuses on estimating an income distribution for a country or a…

Methodology · Statistics 2019-07-04 Shonosuke Sugasawa , Genya Kobayashi , Yuki Kawakubo

Given a large pool of unlabelled data and a smaller amount of labels, prediction-powered inference (PPI) leverages machine learning predictions to increase the statistical efficiency of confidence interval procedures based solely on…

Machine Learning · Statistics 2025-10-27 Valentin Kilian , Stefano Cortinovis , François Caron

Obtaining quantitative survey responses that are both accurate and informative is crucial to a wide range of fields. Traditional and ubiquitous response formats such as Likert and Visual Analogue Scales require condensation of responses…

Human-Computer Interaction · Computer Science 2021-03-11 Zack Ellerby , Christian Wagner , Stephen Broomell
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