Page 2: Research news on Statistical methods

Statistical methods, as a technique, encompass a set of quantitative procedures for collecting, summarizing, modeling, and inferring properties of data under uncertainty. They include techniques for descriptive analysis (e.g., estimation of moments, correlation) and inferential analysis (e.g., hypothesis testing, confidence intervals, regression, and multilevel modeling), typically grounded in probability theory. Statistical methods formalize assumptions about data-generating processes, quantify sampling variability, control error rates, and support model comparison and prediction. They are implemented through parametric, nonparametric, and Bayesian frameworks, often relying on numerical optimization and simulation (e.g., MCMC, bootstrap) to obtain estimates and uncertainty measures in complex models.

Simulating diffusion using 'kinosons' and machine learning

Researchers from the University of Illinois Urbana-Champaign have recast diffusion in multicomponent alloys as a sum of individual contributions, called "kinosons." Using machine learning to compute the statistical distribution ...

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