ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Subset
▼ Power set
▼ Hyperpower set sequence
▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
▼ Subset structure
▼ Measurable space
▼ Measurable map
▼ Random variable
▼ Class of random variables
▼ Collection of random variables
▼ Set of random variables
▼ Random collection
▼ Random process
▼ Random sequence
▼ Random series
Definition D4198
Random average series
Also known as
Random cumulative average sequence
Results
▶ R5399: Sample average of I.I.D. integrable random real numbers converges to expectation almost surely
▶ R3679: Standardised I.I.D. real central limit theorem with the identity index sequence