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Robust Regularised M-Estimators for High-Dimensional Regression with Heavy-Tailed and Skewed Errors

This paper introduces a class of robust regularised M-estimators for high-dimensional regression that achieves optimal convergence rates and variable selection consistency under minimal moment conditions (finite α>1\alpha > 1), outperforming existing methods in both simulation and real-world genomic applications when dealing with heavy-tailed, skewed, or contaminated errors.

Mazona Victor, Vincent Odiaka, Gabriel O. Obadina2026-06-30✓ Author reviewed ⓘ
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Detecting and Quantifying Circularity Bias When Composite Quality Ratings Are Used as Covariates: A Methodological Demonstration Using CMS Hospital Excess Readmissions Data

This paper demonstrates that including composite quality ratings as covariates in regression models introduces a circularity bias that systematically attenuates the estimated effects of structural predictors, a methodological hazard confirmed through CMS hospital readmission data and Monte Carlo simulations.

Ali Akram2026-06-30
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A median-based estimate of effect size - toward more intuitive comparisons in mathematics education research

This paper introduces a median-based effect size indicator for mathematics education research that offers a more intuitive and robust alternative to Cohen's d by comparing group values to medians, thereby reducing sensitivity to skewed distributions, outliers, and small sample sizes while better aligning with practical interpretations of student performance.

Gary Davis, Mercedes McGowen, Sara Dalton Bildik, Donghui Yan2026-06-29
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Application of Propensity Score Methods to Address Missing Data in a Trial on the Effect of Energy Protein Supplementation Among Pulmonary TB-HIV Patients in Mwanza, Tanzania

This study evaluated propensity score inverse probability weighting (PS-IPW) and multiple imputation (MI) against complete case analysis for handling monotonic missing data in a pulmonary TB-HIV supplementation trial in Tanzania, finding that while both advanced methods outperformed traditional analysis in bias and efficiency, none revealed statistically significant treatment effects.

Auson B. Magige, Benson Kidenya, Jeremiah Kidola, Eveline Konje, Jim Todd, Farida Iddi Mkassy, Neema Mosha2026-06-28