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This work proposes diffusion normalized least mean M-estimate algorithm based on the modified Huber function, which can equip distributed networks with robust learning capability in the presence of impulsive interference. In order to…

Machine Learning · Computer Science 2020-04-21 Y. Yu , H. He , T. Yang , X. Wang , R. C. de Lamare

Meta-analytic methods may be used to combine evidence from different sources of information. Quite commonly, the normal-normal hierarchical model (NNHM) including a random-effect to account for between-study heterogeneity is utilized for…

Methodology · Statistics 2020-02-25 Christian Röver , Tim Friede

Meta-analysis allows rigorous aggregation of estimates and uncertainty across multiple studies. When a given study reports multiple estimates, such as log odds ratios (ORs) or log relative risks (RRs) across exposure groups, accounting for…

Methodology · Statistics 2024-07-02 Alexander Johnson-Vázquez , Alexander W. Hsu , Peng Zheng , Aleksandr Aravkin

Recent work has made important contributions in the development of causally-interpretable meta-analysis. These methods transport treatment effects estimated in a collection of randomized trials to a target population of interest. Ideally,…

Methodology · Statistics 2023-02-08 Justin M. Clark , Kollin W. Rott , James S. Hodges , Jared D. Huling

Multivariate meta-analysis can be adapted to a wide range of situations for multiple outcomes and multiple treatment groups when combining studies together. The within-study correlation between effect sizes is often assumed known in…

Methodology · Statistics 2020-03-12 Xiaohuan Xue

We introduce a robust and fully adaptive method for pointwise estimation in heteroscedastic regression. We allow for noise and design distributions that are unknown and fulfill very weak assumptions only. In particular, we do not impose…

Statistics Theory · Mathematics 2014-07-10 Michaël Chichignoud , Johannes Lederer

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

Methodology · Statistics 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

In this paper we investigate the performance of a variety of estimation techniques for the scale and shape parameter of the Lomax distribution. These methods include traditional methods such as the maximum likelihood estimator and the…

Methodology · Statistics 2022-07-14 Thobeka Nombebe , James Allison , Leonard Santana , Jaco Visagie

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

Machine Learning · Statistics 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

As one of the triumphs and milestones of robust statistics, Huber regression plays an important role in robust inference and estimation. It has also been finding a great variety of applications in machine learning. In a parametric setup, it…

Statistics Theory · Mathematics 2020-09-29 Yunlong Feng , Qiang Wu

This study considers various semiparametric difference-in-differences models under different assumptions on the relation between the treatment group identifier, time and covariates for cross-sectional and panel data. The variance lower…

Econometrics · Economics 2020-08-17 Michael Zimmert

Meta-analyses in orphan diseases and small populations generally face particular problems including small numbers of studies, small study sizes, and heterogeneity of results. However, the heterogeneity is difficult to estimate if only very…

Methodology · Statistics 2018-09-11 Tim Friede , Christian Röver , Simon Wandel , Beat Neuenschwander

We develop point-identification for the local average treatment effect when the binary treatment contains a measurement error. The standard instrumental variable estimator is inconsistent for the parameter since the measurement error is…

Econometrics · Economics 2018-04-11 Takahide Yanagi

Mediation analysis is a useful tool to evaluate surrogate endpoints in clinical trials. We propose a novel method, the M-survival learner, for estimating heterogeneous indirect treatment effects in the presence of censored outcomes. The…

Methodology · Statistics 2026-04-16 Xingyu Li , Qing Liu , Xun Jiang , Hong Amy Xia , Brian P. Hobbs , Peng Wei

Meta-analyses of correlation coefficients are an important technique to integrate results from many cross-sectional and longitudinal research designs. Uncertainty in pooled estimates is typically assessed with the help of confidence…

Methodology · Statistics 2020-09-04 Thilo Welz , Philipp Doebler , Markus Pauly

An aggregate data meta-analysis is a statistical method that pools the summary statistics of several selected studies to estimate the outcome of interest. When considering a continuous outcome, typically each study must report the same…

Methodology · Statistics 2022-06-22 Sean McGrath , XiaoFei Zhao , Zhi Zhen Qin , Russell Steele , Andrea Benedetti

Robust M-estimation uses loss functions, such as least absolute deviation (LAD), quantile loss and Huber's loss, to construct its objective function, in order to for example eschew the impact of outliers, whereas the difficulty in analysing…

Econometrics · Economics 2023-01-18 Chaohua Dong , Jiti Gao , Yundong Tu , Bin Peng

This paper concerns robust inference on average treatment effects following model selection. In the selection on observables framework, we show how to construct confidence intervals based on a doubly-robust estimator that are robust to…

Statistics Theory · Mathematics 2018-04-13 Max H. Farrell

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

The Mantel-Haenszel (MH) risk difference estimator, commonly used in randomized clinical trials for binary outcomes, calculates a weighted average of stratum-specific risk difference estimators. Traditionally, this method requires the…

Methodology · Statistics 2025-05-12 Xiaoyu Qiu , Yuhan Qian , Jaehwan Yi , Jinqiu Wang , Yu Du , Yanyao Yi , Ting Ye