Coupling Methods
Coupling for mixing, Stein's method, and exchangeable pairs.
Coupling Methods. Coupling for mixing, Stein’s method, and exchangeable pairs.
Foundations and canonical references
The standard treatments of coupling methods approach the subject from complementary angles. Lindvall, Lectures on the Coupling Method (2002) 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 coupling methods 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 · 2002Lectures on the Coupling Methodlindvall-2002
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