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Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

统计方法学 · 统计学 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

Recent research in causal inference under network interference has explored various experimental designs and estimation techniques to address this issue. However, existing methods, which typically rely on single experiments, often reach a…

统计方法学 · 统计学 2025-03-10 Qianyi Chen , Bo Li

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

统计方法学 · 统计学 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

This work studies the variation in Kullback-Leibler divergence between random draws from some popular nonparametric processes and their baseline measure. In particular we focus on the Dirichlet process, the P\'olya tree and the frequentist…

统计方法学 · 统计学 2014-11-25 James Watson , Luis Nieto-Barajas , Chris Holmes

A model for cross-over designs with repeated measures within each period was developed. It is obtained using an extension of generalized estimating equations that includes a parametric component to model treatment effects and a…

统计方法学 · 统计学 2023-03-21 N. A. Cruz , O. O. Melo , C. A. Martinez

We study ratio metrics in A/B testing at the presence of correlation among observations coming from the same user and provides practical guidance especially when two metrics contradict each other. We propose new estimating methods to…

应用统计 · 统计学 2020-07-24 Keyu Nie , Yinfei Kong , Ted Tao Yuan , Pauline Berry Burke

Meta-analysis involves combining summary information for related but independent studies. It uses different relationship to combine position measure as well as dispersion measures. The objective of this study is to discuss a relationship…

统计方法学 · 统计学 2012-02-07 Jose Fausto de Morais

Randomized iterative algorithms, such as the randomized Kaczmarz method and the randomized Gauss-Seidel method, have gained considerable popularity due to their efficacy in solving matrix-vector and matrix-matrix regression problems. Our…

Sensitivity analysis for measurement error can be applied in the absence of validation data by means of regression calibration and simulation-extrapolation. These have not been compared for this purpose. A simulation study was conducted…

应用统计 · 统计学 2021-06-09 Linda Nab , Rolf H. H. Groenwold

In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of association between two random variables $X$ and $Y$ taking values in general topological spaces. These nonparametric measures -- defined…

统计理论 · 数学 2020-10-09 Nabarun Deb , Promit Ghosal , Bodhisattva Sen

The design of communication systems dedicated to machine learning tasks is one key aspect of goal-oriented communications. In this framework, this article investigates the interplay between data reconstruction and learning from the same…

信息论 · 计算机科学 2024-04-30 Jiahui Wei , Elsa Dupraz , Philippe Mary

We investigate an application of the Tukey's methodology in Theil's regression to obtain a confidence interval for the true slope in the straight line regression model with not necessarily normal errors. This specific approach is…

统计方法学 · 统计学 2016-09-12 Róbert Tóth , Ján Somorčík

P values or risk ratios from multiple, independent studies, observational or randomized, can be computationally combined to provide an overall assessment of a research question in meta-analysis. There is a need to examine the reliability of…

统计方法学 · 统计学 2021-10-28 S. Stanley Young , Warren B. Kindzierski

This paper develops a threshold regression model where an unknown relationship between two variables nonparametrically determines the threshold. We allow the observations to be cross-sectionally dependent so that the model can be applied to…

计量经济学 · 经济学 2021-01-29 Yoonseok Lee , Yulong Wang

Combining matching and regression for causal inference provides double-robustness in removing treatment effect estimation bias due to confounding variables. In most real-world applications, however, treatment and control populations are not…

统计方法学 · 统计学 2015-07-14 Alireza S. Mahani , Mansour T. A. Sharabiani

Prediction with the possibility of abstention (or selective prediction) is an important problem for error-critical machine learning applications. While well-studied in the classification setup, selective approaches to regression are much…

机器学习 · 统计学 2023-09-29 Fedor Noskov , Alexander Fishkov , Maxim Panov

Uncoupled regression is the problem to learn a model from unlabeled data and the set of target values while the correspondence between them is unknown. Such a situation arises in predicting anonymized targets that involve sensitive…

机器学习 · 计算机科学 2019-06-04 Liyuan Xu , Junya Honda , Gang Niu , Masashi Sugiyama

Regression is one of the most commonly used statistical techniques. However, testing regression systems is a great challenge because of the absence of test oracle in general. In this paper, we show that Metamorphic Testing is an effective…

统计方法学 · 统计学 2021-08-24 Quang-Hung Luu , Man F. Lau , Sebastian P. H. Ng , Tsong Yueh Chen

Regression adjustments are often made to experimental data. Since randomization does not justify the models, bias is likely; nor are the usual variance calculations to be trusted. Here, we evaluate regression adjustments using Neyman's…

应用统计 · 统计学 2008-12-18 David A. Freedman

In this paper we consider nonparametric estimation for dependent data, where the observations do not necessarily come from a linear process. We study density estimation and also discuss associated problems in nonparametric regression using…

统计理论 · 数学 2007-06-28 Jan Johannes , Suhasini Subba Rao