Tag oracle inequalities

Exploring Applications of Abel’s Partial Summation Formula in Convergence of Positive Series

The study of series convergence is a cornerstone of mathematical analysis, with various applications across fields such as economics, physics, and computer science. One particular tool that has gained attention is Abel’s partial summation formula. The recent research by Constantin… Continue Reading →

Fatou’s Lemma: Understanding Weakly Converging Probabilities and Inequalities

Understanding complex mathematical concepts can be daunting for many, but fear not! In this article, we will delve into the intricacies of Fatou’s Lemma and its application to weakly converging probabilities. We will explore the conditions under which Fatou’s Lemma… Continue Reading →

The Lasso Estimator and Improved Oracle Inequalities: A Breakthrough in High-Dimensional Linear Models

Complex data often requires sophisticated statistical models to extract meaningful insights and predictions. In the world of high-dimensional linear models, where the number of predictors exceeds the number of observations, a powerful tool called the Lasso estimator has gained significant… Continue Reading →

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