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Bootstrap smoothed (bagged) estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. Efron, 2014, derived a widely applicable formula for a delta method approximation to the standard…

Methodology · Statistics 2019-07-11 Paul Kabaila , Christeen Wijethunga

The paper considers simultaneous nonparametric inference for a wide class of M-regression models with time-varying coefficients. The covariates and errors of the regression model are tackled as a general class of nonstationary time series…

Methodology · Statistics 2024-09-10 Miaoshiqi Liu , Zhou Zhou

Many modern estimators require bootstrapping to calculate confidence intervals because either no analytic standard error is available or the distribution of the parameter of interest is non-symmetric. It remains however unclear how to…

Methodology · Statistics 2018-09-13 Michael Schomaker , Christian Heumann

The bootstrap, introduced by Efron (1982), has become a very popular method for estimating variances and constructing confidence intervals. A key insight is that one can approximate the properties of estimators by using the empirical…

Methodology · Statistics 2019-01-29 Guido Imbens , Konrad Menzel

Accurate forecasting is one of the fundamental focus in the literature of econometric time-series. Often practitioners and policy makers want to predict outcomes of an entire time horizon in the future instead of just a single $k$-step…

Methodology · Statistics 2021-10-04 Sayar Karmakar , Marek Chudy , Wei Biao Wu

In a regression model, prediction is typically performed after model selection. The large variability in the model selection makes the prediction unstable. Thus, it is essential to reduce the variability in model selection and improve…

Computation · Statistics 2024-04-11 Wataru Yoshida , Kei Hirose

We propose a new method to construct confidence intervals for quantities that are associated with a stationary time series, which avoids direct estimation of the asymptotic variances. Unlike the existing tuning-parameter-dependent…

Methodology · Statistics 2010-05-13 Xiaofeng Shao

The bootstrap is a widely used procedure for statistical inference because of its simplicity and attractive statistical properties. However, the vanilla version of bootstrap is no longer feasible computationally for many modern massive…

Methodology · Statistics 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

This article explores combinations of weighted bootstraps, like the Bayesian bootstrap, with the bootstrap $t$ method for setting approximate confidence intervals for the mean of a random variable in small samples. For this problem the…

Statistics Theory · Mathematics 2025-08-21 Art B. Owen

This paper proposes a new non-parametric bootstrap method to quantify the uncertainty of average treatment effect estimate for the treated from matching estimators. More specifically, it seeks to quantify the uncertainty associated with the…

Methodology · Statistics 2024-08-21 Jing Li

Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

Methodology · Statistics 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

We consider statistical inference for a single coordinate of regression coefficients in high-dimensional linear models. Recently, the debiased estimators are popularly used for constructing confidence intervals and hypothesis testing in…

Statistics Theory · Mathematics 2020-10-20 Sai Li

This paper investigates the accuracy of bootstrap-based bias correction of persistence measures for long memory fractionally integrated processes. The bootstrap method is based on the semi-parametric sieve approach, with the dynamics in the…

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

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

Econometrics · Economics 2022-01-28 Ayden Higgins , Koen Jochmans

Consider $M$-estimation in a semiparametric model that is characterized by a Euclidean parameter of interest and an infinite-dimensional nuisance parameter. As a general purpose approach to statistical inferences, the bootstrap has found…

Statistics Theory · Mathematics 2011-02-04 Guang Cheng , Jianhua Z. Huang

Deep learning models have significantly improved prediction accuracy in various fields, gaining recognition across numerous disciplines. Yet, an aspect of deep learning that remains insufficiently addressed is the assessment of prediction…

Machine Learning · Statistics 2024-12-18 Asaf Ben Arie , Malka Gorfine

We propose a nonparametric bootstrap procedure for two-phase stratified sampling without replacement. In this design, a weighted likelihood estimator is known to have smaller asymptotic variance than under the convenient assumption of…

Statistics Theory · Mathematics 2014-09-26 Takumi Saegusa

Randomized clinical trials are considered the gold standard for estimating causal effects. Nevertheless, in studies that are aimed at examining adverse effects of interventions, such trials are often impractical because of ethical and…

Methodology · Statistics 2020-01-20 Anthony D. Scotina , Andrew R. Zullo , Robert J. Smith , Roee Gutman

Bootstrap inference is a powerful tool for obtaining robust inference for quantiles and difference-in-quantiles estimators. The computationally intensive nature of bootstrap inference has made it infeasible in large-scale experiments. In…

Methodology · Statistics 2022-03-10 Mårten Schultzberg , Sebastian Ankargren
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