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Correlated random fields are a common way to model dependence struc- tures in high-dimensional data, especially for data collected in imaging. One important parameter characterizing the degree of dependence is the asymp- totic variance…

统计理论 · 数学 2018-03-20 Annabel Prause , Ansgar Steland

The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning the construction of the confidence interval and the test…

统计理论 · 数学 2017-10-30 Rajeshwari Majumdar , Suman Majumdar

A key feature of a sequential study is that the actual sample size is a random variable that typically depends on the outcomes collected. While hypothesis testing theory for sequential designs is well established, parameter and precision…

统计理论 · 数学 2017-12-21 Ben Berckmoes , Geert Molenberghs

Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

统计方法学 · 统计学 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

We aim to efficiently allocate a fixed simulation budget to identify the top-mc designs for each context among a finite number of contexts. The performance of each design under a context is measured by an identifiable statistical…

统计方法学 · 统计学 2023-07-03 Xinbo Shi , Yijie Peng , Gongbo Zhang

If multiway cluster-robust standard errors are used routinely in applied economics, surprisingly few theoretical results justify this practice. This paper aims to fill this gap. We first prove, under nearly the same conditions as with…

计量经济学 · 经济学 2018-08-06 Laurent Davezies , Xavier D'Haultfoeuille , Yannick Guyonvarch

In this paper, a class of resampling techniques for finite populations under complex sampling design is introduced. The basic idea on which it rests is a two-step procedure consisting in : (i) constructing a pseudo-population on the basis…

统计方法学 · 统计学 2017-07-21 Pier Luigi Conti , Daniela Marella , Fulvia Mecatti , Federico Andreis

In this paper, we develop a general approach to proving global and local uniform limit theorems for the Horvitz-Thompson empirical process arising from complex sampling designs. Global theorems such as Glivenko-Cantelli and Donsker…

统计理论 · 数学 2019-05-31 Qiyang Han , Jon A. Wellner

A common problem in health research is that we have a large database with many variables measured on a large number of individuals. We are interested in measuring additional variables on a subsample; these measurements may be newly…

统计方法学 · 统计学 2022-03-22 Thomas Lumley , Tong Chen

Inspired by applications in testing for Covid-19, we consider a variant of two-stage group testing called "conservative" (or "trivial") two-stage testing, where every item declared to be defective must be definitively confirmed by being…

应用统计 · 统计学 2022-03-10 Matthew Aldridge

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

统计理论 · 数学 2013-11-05 Zhengjia Chen , Xinjia Chen

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

统计方法学 · 统计学 2014-07-07 Daniell Toth , John Eltinge

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…

统计方法学 · 统计学 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental…

计量经济学 · 经济学 2025-05-27 Haoge Chang

The doubly robust (DR) estimator, which consists of two nuisance parameters, the conditional mean outcome and the logging policy (the probability of choosing an action), is crucial in causal inference. This paper proposes a DR estimator for…

机器学习 · 计算机科学 2021-06-22 Masahiro Kato , Shota Yasui , Kenichiro McAlinn

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

统计方法学 · 统计学 2019-11-25 Anirban Mondal , Abhijit Mandal

With the growing availability of large-scale biomedical data, it is often time-consuming or infeasible to directly perform traditional statistical analysis with relatively limited computing resources at hand. We propose a fast subsampling…

统计方法学 · 统计学 2023-05-18 Haixiang Zhang , Lulu Zuo , HaiYing Wang , Liuquan Sun

This paper introduces a family of recursively defined estimators of the parameters of a diffusion process. We use ideas of stochastic algorithms for the construction of the estimators. Asymptotic consistency of these estimators and…

统计理论 · 数学 2016-08-16 Jaime A. Londoño

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

Size distortion can occur if an asymptotic testing procedure requiring diverging sample sizes, is implemented to data with very small sample sizes. In this paper, we consider one-sample and two-sample tests for mean vectors when data are…

统计方法学 · 统计学 2022-03-17 Jun Li