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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…

统计方法学 · 统计学 2019-01-29 Guido Imbens , Konrad Menzel

Bootstrap smoothed (bagged) parameter estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. The key result of Efron (2014) is a very convenient and widely applicable formula for a…

统计方法学 · 统计学 2019-04-29 Paul Kabaila , Christeen Wijethunga

As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

机器学习 · 统计学 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes

We establish the validity of bootstrap methods for empirical likelihood (EL) inference under the density ratio model (DRM). In particular, we prove that the bootstrap maximum EL estimators share the same limiting distribution as their…

统计理论 · 数学 2025-10-24 Weiwei Zhuang , Weiqi Yang , Jiahua Chen

An inference procedure is proposed to provide consistent estimators of parameters in a modal regression model with a covariate prone to measurement error. A score-based diagnostic tool exploiting parametric bootstrap is developed to assess…

统计方法学 · 统计学 2024-07-02 Qingyang Liu , Xianzheng Huang

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

统计方法学 · 统计学 2023-10-27 Kimia Vahdat , Sara Shashaani

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…

计量经济学 · 经济学 2026-04-30 Haoyuan Xu , Wei Miao , Geert Dhaene , Jad Beyhum

We propose a robust inferential procedure for assessing uncertainties of parameter estimation in high-dimensional linear models, where the dimension $p$ can grow exponentially fast with the sample size $n$. Our method combines the…

机器学习 · 统计学 2015-03-19 Tianqi Zhao , Mladen Kolar , Han Liu

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

统计理论 · 数学 2013-02-04 Chenlei Leng , Xingwei Tong

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

计量经济学 · 经济学 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

For the quantification of QoE, subjects often provide individual rating scores on certain rating scales which are then aggregated into Mean Opinion Scores (MOS). From the observed sample data, the expected value is to be estimated. While…

统计方法学 · 统计学 2018-06-05 Tobias Hossfeld , Poul E. Heegaard , Martin Varela , Lea Skorin-Kapov

Bootstrap is a popular methodology for simulating input uncertainty. However, it can be computationally expensive when the number of samples is large. We propose a new approach called \textbf{Orthogonal Bootstrap} that reduces the number of…

统计方法学 · 统计学 2024-05-02 Kaizhao Liu , Jose Blanchet , Lexing Ying , Yiping Lu

Statistical inference is a major scientific endeavor for many researchers. In terms of inferential methods implemented to mixed-effects models, significant progress has been made in the R software. However, these advances primarily concern…

统计方法学 · 统计学 2024-04-15 Fabio Mason , Manuel Koller , Eva Cantoni , Paolo Ghisletta

The bootstrap, based on resampling, has, for several decades, been a widely used method for computing confidence intervals for applications where no exact method is available and when sample sizes are not large enough to be able to rely on…

应用统计 · 统计学 2018-08-27 Chris Gotwalt , Li Xu , Yili Hong , William Q. Meeker

With network data becoming ubiquitous in many applications, many models and algorithms for network analysis have been proposed. Yet methods for providing uncertainty estimates in addition to point estimates of network parameters are much…

统计方法学 · 统计学 2022-06-28 Qianhua Shan , Elizaveta Levina

We recently proposed a robust effect size index (RESI) that is related to the non-centrality parameter of a test statistic. RESI is advantageous over common indices because (1) it is widely applicable to many types of data; (2) it can rely…

统计方法学 · 统计学 2021-11-12 Kaidi Kang , Kristan Armstrong , Suzanne Avery , Maureen McHugo , Stephan Heckers , Simon Vandekar

Confidence estimation infers a probability for whether each model output is correct or not. While predicting such binary correctness is sensible for tasks with exact answers, free-form generation tasks are often more nuanced, with output…

计算与语言 · 计算机科学 2026-01-14 Chi-Yang Hsu , Alexander Braylan , Yiheng Su , Matthew Lease , Omar Alonso

Scientific imaging problems are often severely ill-posed, and hence have significant intrinsic uncertainty. Accurately quantifying the uncertainty in the solutions to such problems is therefore critical for the rigorous interpretation of…

图像与视频处理 · 电气工程与系统科学 2024-10-22 Julian Tachella , Marcelo Pereyra

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…

统计方法学 · 统计学 2022-10-25 Yanghyeon Cho , Emily Berg

Doubly robust estimators have gained popularity in the field of causal inference due to their ability to provide consistent point estimates when either an outcome or exposure model is correctly specified. However, for nonrandomized…