Theorems

Theorem pages collect reusable limit results, moment conditions, and tail asymptotics. Each note states its assumptions and defines its notation.

• Regular Variation

• Subexponentiality

• Karamata’s Theorem

• Pareto Moment Existence

• LLN Failure Under Infinite Mean

• Cramér Exponential-Moment Condition

• Generalized Central Limit Theorem

• Pickands-Balkema-de Haan Theorem

• Mean Excess Function

• Finite-sample inference asymmetry

• Ruin and repeated exposure

Return to the Incerto reading paths, or browse the theorem, method, and distribution indexes.