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We introduce PPBoot: a bootstrap-based method for prediction-powered inference. PPBoot is applicable to arbitrary estimation problems and is very simple to implement, essentially only requiring one application of the bootstrap. Through a…

Machine Learning · Statistics 2025-01-27 Tijana Zrnic

Survey data often arises from complex sampling designs, such as stratified or multistage sampling, with unequal inclusion probabilities. When sampling is informative, traditional inference methods yield biased estimators and poor coverage.…

Methodology · Statistics 2025-04-17 Snigdha Das , Dipankar Bandyopadhyay , Debdeep Pati

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

Machine Learning · Statistics 2015-09-11 Lucas Mentch , Giles Hooker

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…

Methodology · Statistics 2023-08-22 Sifan Liu , Jelena Markovic-Voronov , Jonathan Taylor

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

This paper investigates the accuracy of bootstrap-based inference in the case of long memory fractionally integrated processes. The re-sampling method is based on the semi-parametric sieve approach, whereby the dynamics in the process used…

Methodology · Statistics 2016-03-08 D. S. Poskitt , Simone D. Grose , Gael M. Martin

This paper introduces a local optimization-based approach to test statistical hypotheses and to construct confidence intervals. This approach can be viewed as an extension of bootstrap, and yields asymptotically valid tests and confidence…

Methodology · Statistics 2015-04-21 Shifeng Xiong

Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population…

Methodology · Statistics 2024-07-08 Henrik Imberg , Xiaomi Yang , Carol Flannagan , Jonas Bärgman

In many applications, data cluster. Failing to take the cluster structure into consideration generally leads to underestimated variances of point estimators and inflated type I errors in hypothesis tests. Many circumstance-dependent…

Methodology · Statistics 2025-07-21 Jiahua Chen , Pengfei Li , Yukun Liu , James V. Zidek

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…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

The paper presents a novel approach for unsupervised techniques in the field of clustering. A new method is proposed to enhance existing literature models using the proper Bayesian bootstrap to improve results in terms of robustness and…

Machine Learning · Statistics 2024-09-16 Federico Maria Quetti , Silvia Figini , Elena ballante

Bootstrap is commonly used as a tool for non-parametric statistical inference to estimate meaningful parameters in Variable Selection Models. However, for massive dataset that has exponential growth rate, the computation of Bootstrap…

Computation · Statistics 2016-12-26 Zhibing He , Yichen Qin , Ben-Chang Shia , Yang Li

We investigate Bayesian predictive inference for finite population quantities when there are unequal probabilities of selection. Only limited information about the sample design is available; i.e., only the first-order selection…

Methodology · Statistics 2018-04-10 Junheng Ma , Joe Sedransk , Balgobin Nandram , Lu Chen

This paper develops distribution theory and bootstrap-based inference methods for a broad class of convex pairwise difference estimators. These estimators minimize a kernel-weighted convex-in-parameter function over observation pairs with…

Econometrics · Economics 2026-05-29 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

Survey sampling plays an important role in the efficient allocation and management of resources. The essence of survey sampling lies in acquiring a sample of data points from a population and subsequently using this sample to estimate the…

Methodology · Statistics 2024-01-29 Jonne Pohjankukka , Sakari Tuominen , Jukka Heikkonen

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair…

Statistics Theory · Mathematics 2008-11-26 Martin Snethlage

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

Methodology · Statistics 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

Respondent-Driven Sampling (RDS) is a form of link-tracing sampling, a sampling technique used for `hard-to-reach' populations that aims to leverage individuals' social relationships to reach potential participants. While the methodological…

Faced with massive data, subsampling is a commonly used technique to improve computational efficiency, and using nonuniform subsampling probabilities is an effective approach to improve estimation efficiency. For computational efficiency,…

Statistics Theory · Mathematics 2022-05-19 Jing Wang , Jiahui Zou , HaiYing Wang
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