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Adaptive Bayesian Threshold Heuristic Strategies for the Partial-Information Secretary Problem

This paper proposes Adaptive Bayesian Threshold Heuristic strategies for the partial-information secretary problem by integrating full-information optimal stopping theory with Bayesian updating via a Normal-Gamma conjugate prior, demonstrating superior performance over maximum likelihood estimation methods, particularly under small sample sizes and weak prior information.

Wuting Zheng, Qian Zhan2026-08-06
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Cross-Fitted Contamination-Aware Generalized Empirical-Bayes Liu Shrinkage for Multinomial Logit Models under Multicollinearity and Outliers

This paper proposes and evaluates the Cross-Fitted Contamination-Aware Generalized Empirical-Bayes Liu Shrinkage (CF-CABLS-MNL) estimator for Multinomial Logit models, a robust framework that integrates cross-fitted density-power-divergence, misclassification adjustment, and spectral shrinkage to significantly reduce mean squared error under multicollinearity and outliers, though empirical results indicate that while it excels in contaminated settings, direct regularization methods like Ridge regression may outperform it in clean or dense-data scenarios.

Sadia Saba, Muhammad Amir Saeed2026-08-06
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Model–based clustering for spherical and hyper–spherical data using elliptically symmetric distributions

This paper proposes a model-based clustering framework for spherical and hyper-spherical data using elliptically symmetric distributions, specifically the elliptically symmetric angular Gaussian and spherical elliptically symmetric projected Cauchy distributions, which are estimated via the expectation–maximization algorithm and evaluated through simulations and real-world applications.

Theodoros Perdikis, Nader Alharbi, Michail Tsagris2026-08-05
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Learning Analytics and Early Warning Systems for Mathematics Achievement: A Multi-Country Comparative Programme Evaluation

This review synthesizes evidence from thirty studies across multiple countries to evaluate the design, performance, and equity implications of learning analytics and early warning systems for mathematics achievement, highlighting their predictive potential while identifying critical gaps in algorithmic fairness, cross-country comparability, and the integration of domain-specific diagnostic insights.

Maryam Jimoh2026-08-04
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Bayesian Target-Domain SHAP under Covariate Shift: Posterior Propagation, Overlap, and Selective Action Risk

This paper proposes a Bayesian framework for target-domain interventional SHAP under covariate shift that derives exact posterior distributions and risk bounds to quantify uncertainty and optimize selective action, demonstrating through simulations and real-world data that this approach significantly reduces estimation error and opportunity loss compared to traditional methods, particularly when source and target distributions exhibit low overlap.

jiangshan zhu2026-08-04
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Factorial multistratum designs for building, optimising or evaluating multilevel interventions embedded in learning systems: A taxonomy of factorial cluster-randomised trial designs and their variants

This paper proposes a comprehensive taxonomy for factorial cluster-randomised trial designs, drawing on multistratum concepts from agricultural and industrial research to classify existing clinical examples, illustrate ten design variants using a theoretical obesity intervention, and highlight practical challenges for optimising multilevel healthcare interventions.

REA Walwyn, EL Turner, B Copsey, B Goulao, R Foy, AA Montgomery, SG Gilmour, SH Richards2026-08-03
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Statistical analysis of waste generation in Bukavu city using IoT sensor data

This study utilizes IoT sensor data and advanced statistical modeling to quantify and project solid waste generation in Bukavu, DRC, revealing significant spatial and demographic disparities in production rates and providing evidence-based insights to optimize collection strategies and prioritize interventions in the city's challenging topographical and infrastructural context.

Olivier Mugisho Mugaruka, Remco van Schadewijk, Wouter Deketelaere, Jules Raymond Kala, Jérémie Ndikumagenge, Elie Zihin (…)2026-08-03