Limit Theorems
Laws of large numbers, central limit theorems, and large deviations.
Limit Theorems. Laws of large numbers, central limit theorems, and large deviations. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of limit theorems approach the subject from complementary angles. Durrett, Probability: Theory and Examples (2019) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for limit theorems include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2019Probability: Theory and Examplesdurrett-2019
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