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It is common to show the confidence intervals or $p$-values of selected features, or predictor variables in regression, but they often involve selection bias. The selective inference approach solves this bias by conditioning on the…

统计方法学 · 统计学 2022-06-02 Yoshikazu Terada , Hidetoshi Shimodaira

Empirical best linear unbiased prediction (EBLUP) method uses a linear mixed model in combining information from different sources of information. This method is particularly useful in small area problems. The variability of an EBLUP is…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

In the context of principal components analysis (PCA), the bootstrap is commonly applied to solve a variety of inference problems, such as constructing confidence intervals for the eigenvalues of the population covariance matrix $\Sigma$.…

统计理论 · 数学 2022-02-17 Junwen Yao , Miles E. Lopes

Accurate uncertainty estimates can significantly improve the performance of iterative design of experiments, as in Sequential and Reinforcement learning. For many such problems in engineering and the physical sciences, the design task…

机器学习 · 统计学 2022-05-20 Brendan Folie , Maxwell Hutchinson

The construction of confidence regions for parameter vectors is a difficult problem in the nonparametric setting, particularly when the sample size is not large. The bootstrap has shown promise in solving this problem, but empirical…

统计方法学 · 统计学 2013-11-01 Santu Ghosh , Alan M. Polansky

Multivariable predictive models are important statistical tools for providing synthetic diagnosis and prognostic algorithms based on multiple patients' characteristics. Their apparent discriminant and calibration measures usually have…

应用统计 · 统计学 2021-07-14 Katsuhiro Iba , Tomohiro Shinozaki , Kazushi Maruo , Hisashi Noma

System reliability assessment(SRA) is a challenging task due to the limited experimental data and the complex nature of the system structures. Despite a long history dating back to \cite{buehler1957confidence}, exact methods have only been…

统计方法学 · 统计学 2025-06-06 Junpeng Gong , Xu He , Zhaohui Li

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

We investigate the nonparametric bivariate additive regression estimation in the random design and long-memory errors and construct adaptive thresholding estimators based on wavelet series. The proposed approach achieves asymptotically…

统计理论 · 数学 2022-05-24 Rida Benhaddou , Qing Liu

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…

统计理论 · 数学 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

The Rayleigh regression model was recently proposed for modeling amplitude values of synthetic aperture radar (SAR) image pixels. However, inferences from such model are based on the maximum likelihood estimators, which can be biased for…

统计方法学 · 统计学 2022-08-09 B. G. Palm , F. M. Bayer , R. J. Cintra

We propose a bootstrap-based calibrated projection procedure to build confidence intervals for single components and for smooth functions of a partially identified parameter vector in moment (in)equality models. The method controls…

统计理论 · 数学 2024-07-03 Hiroaki Kaido , Francesca Molinari , Jörg Stoye

The multivariate Fay-Herriot model is quite effective in combining information through correlations among small area survey estimates of related variables or historical survey estimates of the same variable or both. Though the literature on…

统计方法学 · 统计学 2020-06-29 Takumi Saegusa , Shonosuke Sugasawa , Partha Lahiri

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

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

In this paper, we develop a sublinear-time compressive sensing algorithm for approximating functions of many variables which are compressible in a given Bounded Orthonormal Product Basis (BOPB). The resulting algorithm is shown to both have…

数值分析 · 数学 2019-09-23 Bosu Choi , Mark Iwen , Toni Volkmer

We introduce a bootstrap procedure for high-frequency statistics of Brownian semistationary processes. More specifically, we focus on a hypothesis test on the roughness of sample paths of Brownian semistationary processes, which uses an…

统计理论 · 数学 2021-01-06 Mikkel Bennedsen , Ulrich Hounyo , Asger Lunde , Mikko S. Pakkanen

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

统计方法学 · 统计学 2025-09-30 Vanessa McNealis , Christian Léger

The objective of this work is to propose an asymptotic correction method for the estimators of parameters from regression models with covariates subject to classification errors. A correction was developed based on the least squares…

统计方法学 · 统计学 2025-07-11 Alexandre Garcia Dias , Mariana Rodrigues Motta , Alexandre Hild Aono

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

统计理论 · 数学 2024-04-19 Zhou Tang , Ted Westling