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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

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

应用统计 · 统计学 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

An important question in constructing Cross Validation (CV) estimators of the generalization error is whether rules can be established that allow "optimal" selection of the size of the training set, for fixed sample size $n$. We define the…

统计理论 · 数学 2015-11-11 Georgios Afendras , Marianthi Markatou

Building on key papers that were published in special issues of Biometrics in 1957 and 1982 we propose and develop a three-aspect system for evaluating the effect of fitting covariates in the analysis of designed experiments, in particular…

统计方法学 · 统计学 2025-08-08 Stephen Senn , Franz König , Martin Posch

This paper presents the first general (supervised) statistical learning framework for point processes in general spaces. Our approach is based on the combination of two new concepts, which we define in the paper: i) bivariate innovations,…

统计方法学 · 统计学 2021-03-03 Ottmar Cronie , Mehdi Moradi , Christophe A. N. Biscio

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

Many modern data analyses benefit from explicitly modeling dependence structure in data -- such as measurements across time or space, ordered words in a sentence, or genes in a genome. A gold standard evaluation technique is structured…

Cross-validation (CV) is known to provide asymptotically exact tests and confidence intervals for model improvement but only when the model comparison is relatively stable. Surprisingly, we prove that even simple, individually stable models…

机器学习 · 统计学 2026-02-10 Alexandre Bayle , Lucas Janson , Lester Mackey

We investigate generically applicable and intuitively appealing prediction intervals based on $k$-fold cross validation. We focus on the conditional coverage probability of the proposed intervals, given the observations in the training…

统计理论 · 数学 2022-05-13 Lukas Steinberger , Hannes Leeb

The inefficiency of using an unbiased estimator in a Monte Carlo procedure can be quantified using an inefficiency constant, equal to the product of the variance of the estimator and its mean computational cost. We develop methods for…

统计计算 · 统计学 2016-01-08 Tomasz Badowski

In practical regression applications, multiple covariates are often measured, but not all may be associated with the response variable. Identifying and including only the relevant covariates in the model is crucial for improving prediction…

统计方法学 · 统计学 2026-03-10 Ana Carolina da Cruz , Camila P. E. de Souza , Pedro H. T. O. Sousa

Conditional selective inference requires an exact characterization of the selection event, which is often unavailable except for a few examples like the lasso. This work addresses this challenge by introducing a generic approach to estimate…

统计方法学 · 统计学 2023-08-22 Sifan Liu , Jelena Markovic-Voronov , Jonathan Taylor

A range of approaches have been proposed for estimating the accuracy or robustness of the measured performance of IR methods. One is to use bootstrapping of test sets, which, as we confirm, provides an estimate of variation in performance.…

信息检索 · 计算机科学 2025-09-26 Meng Yuan , Justin Zobel

We investigate the finite sample performance of sample splitting, cross-fitting and averaging for the estimation of the conditional average treatment effect. Recently proposed methods, so-called meta-learners, make use of machine learning…

统计方法学 · 统计学 2020-08-27 Daniel Jacob

We propose a robust hypothesis testing procedure for the predictability of multiple predictors that could be highly persistent. Our method improves the popular extended instrumental variable (IVX) testing (Phillips and Lee, 2013; Kostakis…

统计方法学 · 统计学 2024-01-03 Xiaosai Liao , Xinjue Li , Qingliang Fan

Cross-validation under sample selection bias can, in principle, be done by importance-weighting the empirical risk. However, the importance-weighted risk estimator produces sub-optimal hyperparameter estimates in problem settings where…

机器学习 · 计算机科学 2019-08-28 Wouter M. Kouw , Jesse H. Krijthe , Marco Loog

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

统计方法学 · 统计学 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

Estimating a distribution given access to its unnormalized density is pivotal in Bayesian inference, where the posterior is generally known only up to an unknown normalizing constant. Variational inference and Markov chain Monte Carlo…

机器学习 · 统计学 2025-05-06 Daniel Ward , Mark Beaumont , Matteo Fasiolo

Adjusting for covariates is a well established method to estimate the total causal effect of an exposure variable on an outcome of interest. Depending on the causal structure of the mechanism under study there may be different adjustment…

统计理论 · 数学 2021-04-27 Jack Kuipers , Giusi Moffa

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

统计方法学 · 统计学 2023-04-18 Zijian Guo