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We consider bootstrap inference for estimators which are (asymptotically) biased. We show that, even when the bias term cannot be consistently estimated, valid inference can be obtained by proper implementations of the bootstrap.…

计量经济学 · 经济学 2023-11-09 Giuseppe Cavaliere , Sílvia Gonçalves , Morten Ørregaard Nielsen , Edoardo Zanelli

Over the course of the past decade, a variety of randomized algorithms have been proposed for computing approximate least-squares (LS) solutions in large-scale settings. A longstanding practical issue is that, for any given input, the user…

机器学习 · 统计学 2018-09-07 Miles E. Lopes , Shusen Wang , Michael W. Mahoney

Standard approaches to constructing nonparametric confidence bands for functions are frustrated by the impact of bias, which generally is not estimated consistently when using the bootstrap and conventionally smoothed function estimators.…

统计理论 · 数学 2014-01-30 Peter Hall , Joel Horowitz

This paper studies the error metric selection for long-term memory learning in sequence modelling. We examine the bias towards short-term memory in commonly used errors, including mean absolute/squared error. Our findings show that all…

机器学习 · 计算机科学 2023-07-24 Shida Wang , Zhanglu Yan

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

统计方法学 · 统计学 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

In this work, we will investigate a Bayesian approach to estimating the parameters of long memory models. Long memory, characterized by the phenomenon of hyperbolic autocorrelation decay in time series, has garnered significant attention.…

统计方法学 · 统计学 2024-06-19 Clara Grazian

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

统计方法学 · 统计学 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

统计计算 · 统计学 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

In assessing prediction accuracy of multivariable prediction models, optimism corrections are essential for preventing biased results. However, in most published papers of clinical prediction models, the point estimates of the prediction…

统计方法学 · 统计学 2022-08-02 Hisashi Noma , Tomohiro Shinozaki , Katsuhiro Iba , Satoshi Teramukai , Toshi A. Furukawa

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

计量经济学 · 经济学 2024-12-18 Fu Ouyang , Thomas Tao Yang

We propose two approaches to estimate semiparametric discrete choice models for bundles. Our first approach is a kernel-weighted rank estimator based on a matching-based identification strategy. We establish its complete asymptotic…

计量经济学 · 经济学 2024-12-18 Fu Ouyang , Thomas T. Yang

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…

机器学习 · 统计学 2017-03-01 Jun Han , Qiang Liu

We report on a numerical evaluation of the statistical bootstrap as a technique for radio-interferometric imaging fidelity assessment. The development of a fidelity assessment technique is an important scientific prerequisite for automated…

天体物理学 · 物理学 2009-11-10 Athol Kemball , Adam Martinsek

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…

统计方法学 · 统计学 2023-11-02 Dimitris N. Politis , Kejin Wu

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

计量经济学 · 经济学 2018-09-12 Joel L. Horowitz

We consider semiparametric transformation models, where after pre-estimation of a parametric transformation of the response the data are modeled by means of nonparametric regression. We suggest subsequent procedures for testing lack-of-fit…

统计方法学 · 统计学 2019-01-25 Nick Kloodt , Natalie Neumeyer

We consider penalized extremum estimation of a high-dimensional, possibly nonlinear model that is sparse in the sense that most of its parameters are zero but some are not. We use the SCAD penalty function, which provides model selection…

计量经济学 · 经济学 2024-02-23 Joel L. Horowitz , Ahnaf Rafi

We report on a broader evaluation of statistical bootstrap resampling methods as a tool for pixel-level calibration and imaging fidelity assessment in radio interferometry. Pixel-level imaging fidelity assessment is a challenging problem,…

天体物理仪器与方法 · 物理学 2015-05-14 Athol Kemball , Adam Martinsek , Modhurita Mitra , Hsin-Fang Chiang

The ISO 5725 series frames interlaboratory precision through repeatability, between-laboratory, and reproducibility variances, yet practical guidance on deploying bootstrap methods within this one-way random-effects setting remains limited.…

应用统计 · 统计学 2026-02-10 Jun-ichi Takeshita , Kazuhiro Morita , Tomomichi Suzuki

Fitting sparse models to high-dimensional time series is an important area of statistical inference. In this paper we consider sparse vector autoregressive models and develop appropriate bootstrap methods to infer properties of such…

统计方法学 · 统计学 2019-09-25 J. Krampe , J-P. Kreiss , E. Paparoditis