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A New Generated Class: Theory and Inference with Application to Daily COVID-19 Cases in Region Aseer, Saudi Arabia

This paper introduces a flexible trigonometric-generated family of distributions, specifically a parsimonious NewWeibull special case, which is mathematically validated through theoretical derivations and Monte Carlo simulations to effectively model heterogeneous outbreak data, outperforming existing models when applied to daily COVID-19 cases in Saudi Arabia's Aseer Region.

Muhammad Arshad, Ali Algarni2026-08-27
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Fertility Characteristics and Cognitive Function Trajectories: Panel Data Analysis of Two Longitudinal Cohort Studies

This study analyzes longitudinal data from China and Europe to reveal that while having one or two children generally protects cognitive function in older adults, the specific gender composition of offspring significantly impacts cognitive trajectories only in China due to cultural and social welfare differences, whereas no such gender effect is observed in Europe.

Yansi Mai, Lin Qin, Na Chen, Xuebin Qiao2026-08-26
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SunBURST: Deterministic GPU-Native High-Dimensional Bayesian Evidence via Mode-Centric Laplace Integration

SunBURST is a deterministic, GPU-native algorithm that efficiently computes high-dimensional Bayesian evidence by combining ray-cast mode discovery, batched L-BFGS refinement, and Laplace integration to achieve sub-percent accuracy in seconds for near-quadratic targets, while explicitly defining its limitations regarding non-quadratic or heavy-tailed distributions.

Ira Wolfson2026-08-26
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Lotka's Law, Temporal Trends, Self-Citation Analysis and Inflibnet E-Shodhsindhu Coverage in Chemical Engineering Doctoral Dissertations: A Bibliometric Study of Universities in Andhra Pradesh, India

This bibliometric study of 347 Chemical Engineering doctoral dissertations from five Andhra Pradesh universities reveals that supervisor productivity largely conforms to Lotka's Law, citation patterns have significantly evolved toward higher volume and online sources over time, self-citation rates remain low, and the INFLIBNET e-ShodhSindhu consortium provides extensive coverage of the field's core journals, thereby transforming the region's research information environment.

Kodanda Ramaiah Kangundi, Sree Divya Koppeti2026-08-26
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A Neutrosophic Repetitive Dependent-State Sampling Plan for Truncated Cycle-Life Testing of Lithium-Ion Batteries

This paper proposes a hybrid Neutrosophic Repetitive Dependent-State Sampling Plan (NH-RDSSP) for truncated cycle-life testing of Lithium-ion batteries that integrates resampling and lot-history dependency while modeling batch-to-batch uncertainty via triangular neutrosophic numbers, validated through closed-form derivations and calibration against real-world data from four independent sources.

Vaitheeswaran Gnanaraj, Balakrishnan Vellaikannan2026-08-26