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In a two-stage cluster sampling procedure, $n$ random populations are drawn independently from independent populations and a sub-sample of observations is taken in each of them. The estimator of the general mean of the observed variables is…

统计理论 · 数学 2009-09-29 Odile Pons

We propose sieve wild bootstrap analogues to the adaptive Lasso solution path unit root tests of Arnold and Reinschl\"ussel (2024) arXiv:2404.06205 to improve finite sample properties and extend their applicability to a generalised…

统计方法学 · 统计学 2024-09-13 Martin C. Arnold , Thilo Reinschlüssel

Gradient boosting is widely popular due to its flexibility and predictive accuracy. However, statistical inference and uncertainty quantification for gradient boosting remain challenging and under-explored. We propose a unified framework…

机器学习 · 统计学 2025-09-30 Haimo Fang , Kevin Tan , Giles Hooker

In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method from a frequentist point of view, and show that it corresponds…

统计理论 · 数学 2023-08-01 Piet Groeneboom , Geurt Jongbloed

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

统计方法学 · 统计学 2013-12-24 Bodhisattva Sen , Gongjun Xu

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

The paper is concerned with inference for a parameter of interest in models that share a common interpretation for that parameter but that may differ appreciably in other respects. We study the general structure of models under which the…

统计理论 · 数学 2024-08-06 Heather Battey , Nancy Reid

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study inference about the average effect of one or more treatments relative to…

计量经济学 · 经济学 2019-01-21 Federico A. Bugni , Ivan A. Canay , Azeem M. Shaikh

The normalizing constant plays an important role in Bayesian computation, and there is a large literature on methods for computing or approximating normalizing constants that cannot be evaluated in closed form. When the normalizing constant…

统计计算 · 统计学 2020-09-02 Yuling Yao , Collin Cademartori , Aki Vehtari , Andrew Gelman

As Basu (1977) writes, "Eliminating nuisance parameters from a model is universally recognized as a major problem of statistics," but after more than 50 years since Basu wrote these words, the two mainstream schools of thought in statistics…

统计方法学 · 统计学 2023-09-26 Ryan Martin

The statistical efficiency of randomized clinical trials can be improved by incorporating information from baseline covariates (i.e., pre-treatment patient characteristics). This can be done in the design stage using stratified (permutated…

统计方法学 · 统计学 2025-02-04 Zhiwei Zhang

In this paper, we address the problem of conducting statistical inference in settings involving large-scale data that may be high-dimensional and contaminated by outliers. The high volume and dimensionality of the data require distributed…

机器学习 · 统计学 2022-11-30 Emadaldin Mozafari-Majd , Visa Koivunen

Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

统计理论 · 数学 2018-08-14 Michal Pešta , Martin Wendler

This work introduces the causal bootstrap, a framework for bounding smeared spectral observables from finite non-perturbative Euclidean data. The method optimizes over the convex set of positive spectral densities compatible with the data…

高能物理 - 格点 · 物理学 2026-05-21 Ryan Abbott , Sarah Fields , William I. Jay , Patrick Oare , Matteo Saccardi

In this paper we address the problem of performing statistical inference for large scale data sets i.e., Big Data. The volume and dimensionality of the data may be so high that it cannot be processed or stored in a single computing node. We…

统计方法学 · 统计学 2016-04-20 Shahab Basiri , Esa Ollila , Visa Koivunen

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 bootstrap inference in predictive (or Granger-causality) regressions when the parameter of interest may lie on the boundary of the parameter space, here defined by means of a smooth inequality constraint. For instance, this…

计量经济学 · 经济学 2026-04-29 Giuseppe Cavaliere , Iliyan Georgiev , Edoardo Zanelli

The signature transform, defined by the formal tensor series of global iterated path integrals, is a homomorphism between the path space and the tensor algebra that has been studied in geometry, control theory, number theory as well as…

经典分析与常微分方程 · 数学 2022-11-09 Horatio Boedihardjo , Xi Geng

Jointly extracting entity pairs and their relations is challenging when working on distantly-supervised data with ambiguous or noisy labels. To mitigate such impact, we propose uncertainty-aware bootstrap learning, which is motivated by the…

计算与语言 · 计算机科学 2023-06-12 Yufei Li , Xiao Yu , Yanchi Liu , Haifeng Chen , Cong Liu

The ill-posedness of the inverse problem of recovering a regression function in a nonparametric instrumental variable model leads to estimators that may suffer from a very slow, logarithmic rate of convergence. In this paper, we show that…

应用统计 · 统计学 2017-09-27 Denis Chetverikov , Daniel Wilhelm