📊 statistics

The Statistical Price of Unknown Geometry in In-Context Regression

This paper establishes that in Gaussian in-context regression with one labeled observation, the statistical cost of estimating unknown task geometry is distinct from and strictly positive compared to the cost of selecting a geometric action without label feedback, revealing that label feedback provides a unique advantage in reducing Bayes approximation regret even as total risk decreases with more reference data.

Jufeng Li, Wenjie Li2026-10-12
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New approach for estimating socioeconomic indicators in small-areas with sparse samples and high within-region heterogeneity: application in the Peruvian Amazon

This study demonstrates that Bayesian small-area estimation models leveraging Demographic and Health Surveys and census data can generate robust, fine-scale, and temporally consistent socioeconomic estimates for sparse and heterogeneous regions like the Peruvian Amazon, thereby revealing critical spatial links between poverty, education, and malaria burden that are often obscured in traditional broad-scale analyses.

Jose Matta-Chuquisapon, Julianne Meisner, Sergio E. Recuenco2026-10-09
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Novel Screening Methods for Binary Outcomes with Rare Events

This paper introduces and validates two novel screening methods, Rare-Screening and Firth-ttScreening, designed to improve the detection of CpG sites associated with rare binary events in high-dimensional epigenome-wide association studies, demonstrating superior sensitivity compared to traditional FDR and Bonferroni approaches.

Mohammad Nahian Ferdous Abrar, Hongmei Zhang, Meredith Ray, Yuanjin Liu, Hasan Arshad, Yu Jiang2026-10-09
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Benchmarking machine learning against a regulatory rule-based baseline for drinking-water compliance classification

This study demonstrates that for drinking-water compliance classification, machine learning models cannot outperform a regulatory rule-based baseline because domain-defined thresholds already capture nearly all available signal, highlighting that refining regulatory rules and implementing consensus strategies are more effective than model selection.

Aljaž Sovič, Barbara Hribar Lee, Zoran Bosnić2026-10-09
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Testing Governance Mediation with Multi-Edition City Indices: A Simulation-Validated Pipeline with a Confounding Diagnostic and Sensitivity Analysis

This paper presents and validates an eight-stage open pipeline for mediation analysis on multi-edition city indices, demonstrating through extensive simulations that while standard methods suffer from inflated Type I errors and severe bias due to unobserved or time-varying confounding, a combination of city-cluster bootstrapping, two-way fixed-effects models, and residual-correlation sensitivity analysis provides a robust protocol for reliable governance mediation claims.

Kamal Abdelgowad, Baher ElShaarawy, Muhammad Essa, Asra Mehar, Kiran Kumar2026-10-09
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Spatially Correlated Measurement Error: Bias Amplification and Identification via Higher-Order Spatial Lags

This paper demonstrates that spatially correlated measurement error amplifies attenuation bias and invalidates standard instrumental variables, proposing a higher-order spatial lag GMM estimator that leverages geometric mixing conditions to achieve significant bias reduction and valid inference, as validated by simulations and a Tunisian infrastructure application.

mohamed riadh cherif2026-10-09
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When National Happiness and Suicide Mortality Diverge: Explainable Machine Learning, Anomaly Detection, and Panel Evidence from 161 Countries

This study employs explainable machine learning and panel data from 161 countries to demonstrate that national life satisfaction and suicide mortality often diverge due to factors like unemployment and alcohol consumption, revealing specific high-risk country profiles while cautioning against conflating aggregate statistical patterns with individual causal mechanisms.

Young-Chool Choi2026-10-08
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A Relational Matrix Representation of Positive Ratio-Scale Systems: Theory, Statistical Inference, and Applications to Anthropometry

This paper introduces the Anthropometric Relationship Matrix (ARM) and the Anthropometric Structural Stability Index (ASSI) as a novel, structurally complete framework for representing and statistically inferring the proportional organization of positive ratio-scale systems, offering a complementary approach to traditional multivariate methods with broad applications in fields ranging from anthropometry to engineering.

Suresh Deman2026-10-08