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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

Strict stationarity is a common assumption used in the time series literature in order to derive asymptotic distributional results for second-order statistics, like sample autocovariances and sample autocorrelations. Focusing on weak…

Statistics Theory · Mathematics 2023-02-28 Yunyi Zhang , Efstathios Paparoditis , Dimitris N. Politis

Residual-based analysis is generally considered a cornerstone of statistical methodology. For a special case of indirect regression, we investigate the residual-based empirical distribution function and provide a uniform expansion of this…

Methodology · Statistics 2018-03-01 Nicolai Bissantz , Justin Chown , Holger Dette

The g-formula can be used to estimate the treatment effect while accounting for confounding bias in observational studies. With regard to time-to-event endpoints, possibly subject to competing risks, the construction of valid pointwise…

Methodology · Statistics 2024-04-03 Jasmin Rühl , Sarah Friedrich

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

In this work, we propose a novel deep bootstrap framework for nonparametric regression based on conditional diffusion models. Specifically, we construct a conditional diffusion model to learn the distribution of the response variable given…

Machine Learning · Statistics 2026-02-12 Jinyuan Chang , Yuling Jiao , Lican Kang , Junjie Shi

In many life science experiments or medical studies, subjects are repeatedly observed and measurements are collected in factorial designs with multivariate data. The analysis of such multivariate data is typically based on multivariate…

Methodology · Statistics 2023-05-24 Lubna Amro , Frank Konietschke , Markus Pauly

In this paper we propose an autoregressive wild bootstrap method to construct confidence bands around a smooth deterministic trend. The bootstrap method is easy to implement and does not require any adjustments in the presence of missing…

Methodology · Statistics 2019-12-12 Marina Friedrich , Stephan Smeekes , Jean-Pierre Urbain

The wild bootstrap is the resampling method of choice in survival analytic applications. Theoretic justifications rely on the assumption of existing intensity functions which is equivalent to an exclusion of ties among the event times.…

Statistics Theory · Mathematics 2024-09-11 Dennis Dobler , Merle Munko

Modern problems in statistics tend to include estimators of high computational complexity and with complicated distributions. Statistical inference on such estimators usually relies on asymptotic normality assumptions, however, such…

Methodology · Statistics 2016-12-08 Eyal Fisher , Regev Schweiger , Saharon Rosset

Big data analytics has opened new avenues in economic research, but the challenge of analyzing datasets with tens of millions of observations is substantial. Conventional econometric methods based on extreme estimators require large amounts…

Econometrics · Economics 2023-11-02 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

Statistics Theory · Mathematics 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

We study the gradient wild bootstrap-based inference for instrumental variable quantile regressions in the framework of a small number of large clusters in which the number of clusters is viewed as fixed, and the number of observations for…

Econometrics · Economics 2024-08-21 Wenjie Wang , Yichong Zhang

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

A wild bootstrap method for nonparametric hypothesis tests based on kernel distribution embeddings is proposed. This bootstrap method is used to construct provably consistent tests that apply to random processes, for which the naive…

Machine Learning · Statistics 2016-09-28 Kacper Chwialkowski , Dino Sejdinovic , Arthur Gretton

Bootstrap is a useful tool for making statistical inference, but it may provide erroneous results under complex survey sampling. Most studies about bootstrap-based inference are developed under simple random sampling and stratified random…

Statistics Theory · Mathematics 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

To address the difficult problem of multi-step ahead prediction of non-parametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of non-parametric time series…

Methodology · Statistics 2023-11-02 Dimitris N. Politis , Kejin Wu

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

This paper develops bootstrap procedures for inference in linear regression models with two-way clustered data. We characterize the estimator's asymptotic behavior in five mutually exclusive and exhaustive regimes: three Gaussian and two…

Statistics Theory · Mathematics 2026-05-04 Ulrich Hounyo , Jiahao Lin

Residual bootstrap is a classical method for statistical inference in regression settings. With massive data sets becoming increasingly common, there is a demand for computationally efficient alternatives to residual bootstrap. We propose a…

Methodology · Statistics 2024-09-30 Indrila Ganguly , Srijan Sengupta , Sujit Ghosh